{"id":226103,"date":"2026-09-20T19:12:27","date_gmt":"2026-09-20T13:42:27","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=226103"},"modified":"2026-09-20T19:12:28","modified_gmt":"2026-09-20T13:42:28","slug":"short-tricks-for-railway-exams","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/","title":{"rendered":"Short Tricks for Railway Exams 2026, Solve Questions Live"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Why_are_Short_Tricks_for_Railway_Exams_Important\" >Why are Short Tricks for Railway Exams Important?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Short_Tricks_for_Percentage_Problems\" >Short Tricks for Percentage Problems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Short_Tricks_for_Profit_Loss_Problems\" >Short Tricks for Profit &amp; Loss Problems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Short_Tricks_for_Time_Speed_and_Distance_Problems\" >Short Tricks for Time, Speed, and Distance Problems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Tips_to_Apply_Short_Tricks_Effectively\" >Tips to Apply Short Tricks Effectively<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Example_Questions_with_Short_Trick_Solution\" >Example Questions with Short Trick Solution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Practice_MCQs_for_Railways_Using_Short_Tricks\" >Practice MCQs for Railways Using Short Tricks<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Sign_Up\" >Sign Up<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Login\" >Login<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Forgot_Password\" >Forgot Password<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#i\" >&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Important_Fraction_to_Percentage_Conversions_for_Railway_Exams\" >Important Fraction to Percentage Conversions for Railway Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Profit_Loss_and_Discount_Short_Tricks\" >Profit, Loss and Discount Short Tricks<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Time_Speed_and_Distance_Short_Tricks\" >Time, Speed and Distance Short Tricks<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Simple_and_Compound_Interest_Short_Tricks\" >Simple and Compound Interest Short Tricks<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Quick_Calculation_Tricks_for_Railway_Exams\" >Quick Calculation Tricks for Railway Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Common_Mistakes_to_Avoid\" >Common Mistakes to Avoid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#Railway_Maths_Short_Tricks_at_a_Glance\" >Railway Maths Short Tricks at a Glance<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#How_to_Use_Short_Tricks_Effectively\" >How to Use Short Tricks Effectively<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.oliveboard.in\/blog\/short-tricks-for-railway-exams\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Competitive exams such as RRB NTPC, RRB Group D, RRB ALP, and RPF require candidates to solve quantitative aptitude questions accurately within a limited time. Topics such as Percentage, Profit &amp; Loss, and Time-Speed-Distance form an important part of arithmetic preparation. Learning the right formulas and shortcuts can help reduce calculation time and improve accuracy. This article covers important short tricks, formulas, examples, and practice questions for Railway exam preparation.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-why-are-short-tricks-for-railway-exams-important\"><span class=\"ez-toc-section\" id=\"Why_are_Short_Tricks_for_Railway_Exams_Important\"><\/span>Why are Short Tricks for Railway Exams Important?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The short tricks and tips are very useful for candidates appearing in the railway exams. Some of the reasons to learn short tricks are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>time limit is strict<\/strong>; you cannot spend more than 40\u201350 seconds on one question.<\/li>\n\n\n\n<li>Many questions are <strong>calculation-based<\/strong>; tricks help reduce lengthy steps.<\/li>\n\n\n\n<li>Shortcuts improve <strong>accuracy<\/strong>, as you rely on tested formulas.<\/li>\n\n\n\n<li>With practice, they help build <strong>confidence and speed<\/strong> during the exam.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/rrb-maths-questions\/?ref=contmk-blog-stfre\" target=\"_blank\" rel=\"noreferrer noopener\">attempt Live Questions for RRB group D<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-short-tricks-for-percentage-problems\"><span class=\"ez-toc-section\" id=\"Short_Tricks_for_Percentage_Problems\"><\/span>Short Tricks for <strong>Percentage Problems<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Percentage is the base of several arithmetic topics, including Profit &amp; Loss, Discount, Simple Interest, Ratio, and Data Interpretation.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Concept<\/strong><\/td><td><strong>Formula \/ Trick<\/strong><\/td><td><strong>Example<\/strong><\/td><\/tr><tr><td>Basic Percentage Conversion<\/td><td>x% = x\/100<\/td><td>25% = 1\/4, 50% = 1\/2, 75% = 3\/4, 12.5% = 1\/8, 20% = 1\/5<\/td><\/tr><tr><td>Percentage Change (Increase &amp; Decrease)<\/td><td>Net change = (x\u00b2\/100)% decrease<\/td><td>20% \u2191 then 20% \u2193 \u2192 Net = 4% decrease<\/td><\/tr><tr><td>Finding Percentage Quickly<\/td><td>(x\/y) \u00d7 100<\/td><td>45 is what % of 90 \u2192 50%<\/td><\/tr><tr><td>Successive Percentage Increase<\/td><td>(a + b + ab\/100)%<\/td><td>10% + 20% \u2192 Net = 32%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/rpf-constable-maths-questions\/?ref=contmk-blog-stfre\" target=\"_blank\" rel=\"noreferrer noopener\">attempt Live Questions for RRF Constable<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-short-tricks-for-profit-amp-loss-problems\"><span class=\"ez-toc-section\" id=\"Short_Tricks_for_Profit_Loss_Problems\"><\/span>Short Tricks for <strong>Profit &amp; Loss Problems<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Profit and Loss questions are closely related to percentages. Candidates should first understand the relationship between Cost Price, Selling Price, Marked Price, Profit, Loss, and Discount.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>Concept<\/th><th>Formula<\/th><\/tr><tr><td>Profit<\/td><td>SP &#8211; CP<\/td><\/tr><tr><td>Loss<\/td><td>CP &#8211; SP<\/td><\/tr><tr><td>Profit %<\/td><td>(Profit\/CP) \u00d7 100<\/td><\/tr><tr><td>Loss %<\/td><td>(Loss\/CP) \u00d7 100<\/td><\/tr><tr><td>SP at p% Profit<\/td><td>CP \u00d7 (100+p)\/100<\/td><\/tr><tr><td>SP at l% Loss<\/td><td>CP \u00d7 (100-l)\/100<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Where:<\/p>\n\n\n\n<p><strong>CP = Cost Price<\/strong><br><strong>SP = Selling Price<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Ratio Shortcut<\/h3>\n\n\n\n<p>If profit is 20%:<\/p>\n\n\n\n<p>CP : SP<br>= 100 : 120<br>= <strong>5 : 6<\/strong><\/p>\n\n\n\n<p>If loss is 20%:<\/p>\n\n\n\n<p>CP : SP<br>= 100 : 80<br>= <strong>5 : 4<\/strong><\/p>\n\n\n\n<p>This ratio method can help solve many Profit and Loss questions quickly.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-short-tricks-for-time-speed-and-distance-problems\"><span class=\"ez-toc-section\" id=\"Short_Tricks_for_Time_Speed_and_Distance_Problems\"><\/span>Short Tricks for <strong>Time, Speed, and Distance Problems<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Railway exams always have a good number of time-speed questions, often framed around trains, platforms, and boats. The important details for time, speed and distance problems are as follows:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-1-basic-formula\">1. Basic Formula<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Speed = Distance \/ Time<\/strong><\/li>\n\n\n\n<li><strong>Time = Distance \/ Speed<\/strong><\/li>\n\n\n\n<li><strong>Distance = Speed \u00d7 Time<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-2-relative-speed\">2. Relative Speed<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When objects move <strong>in the same direction<\/strong>: Relative Speed = (A \u2013 B)<\/li>\n\n\n\n<li>When objects move <strong>in opposite directions<\/strong>: Relative Speed = (A + B)<\/li>\n<\/ul>\n\n\n\n<p>Example: Two trains moving at 60 km\/h and 40 km\/h in opposite directions. Relative speed = 100 km\/h.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/rrb-ntpc-mock-test\/?ref=contmk-blog-stfre\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free RRB NTPC Mock test<\/a><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-3-shortcut-for-crossing-problems\">3. Shortcut for Crossing Problems<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If two trains of lengths L1 and L2 cross each other in t seconds,<br><strong>Relative Speed = (L1 + L2)\/t<\/strong><\/li>\n\n\n\n<li>If a train of length L crosses a platform of length P in t seconds,<br><strong>Speed = (L + P)\/t<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-4-average-speed-trick\">4. Average Speed Trick<\/h3>\n\n\n\n<p>When equal distance is covered at two speeds:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Average Speed = (2xy)\/(x + y)<\/strong><br>Example: A man travels to a place at 30 km\/h and returns at 60 km\/h. Average speed = (2\u00d730\u00d760)\/(30+60) = 40 km\/h.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-5-boat-amp-stream-trick\">5. Boat &amp; Stream Trick<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Downstream Speed = (Boat + Stream)<\/strong><\/li>\n\n\n\n<li><strong>Upstream Speed = (Boat \u2013 Stream)<\/strong><\/li>\n\n\n\n<li><strong>Speed of Boat = (Downstream + Upstream)\/2<\/strong><\/li>\n\n\n\n<li><strong>Speed of Stream = (Downstream \u2013 Upstream)\/2<\/strong><\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/rrb-alp-mock-test\/?ref=contmk-blog-stfre\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free RRB ALP Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-tips-to-apply-short-tricks-effectively\"><span class=\"ez-toc-section\" id=\"Tips_to_Apply_Short_Tricks_Effectively\"><\/span>Tips to Apply Short Tricks Effectively<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>As an exam applicant, you must know how to apply these short tricks and tips effectively to score well in the examination. Some of the ways are given below:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Practice Daily:<\/strong> Tricks work only when you are comfortable applying them quickly.<\/li>\n\n\n\n<li><strong>Use Approximation:<\/strong> In MCQs, sometimes options are far apart\u2014approximation can save time.<\/li>\n\n\n\n<li><strong>Avoid Over-Reliance:<\/strong> Use tricks when calculations are lengthy; otherwise, basic formulas are enough.<\/li>\n\n\n\n<li><strong>Solve Previous Year Papers:<\/strong> Many railway exam questions follow a set pattern.<\/li>\n\n\n\n<li><strong>Make a Formula Sheet:<\/strong> Keep a one-page summary of all percentage, profit-loss, and speed-distance tricks for revision.<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/rrb-group-d-mock-test\/?ref=contmk-blog-stfre\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free RRB Group D Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-example-questions-with-short-trick-solution\"><span class=\"ez-toc-section\" id=\"Example_Questions_with_Short_Trick_Solution\"><\/span>Example Questions with Short Trick Solution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>We have given below some sample questions with their solutions. Candidates can follow these questions to have an idea about the difficulty level:<\/p>\n\n\n\n<p><strong>Q1.<\/strong> A man buys an article for \u20b9500 and sells it at a profit of 20%. What is the selling price?<br> SP = (100 + 20)\/100 \u00d7 500 = (120\/100) \u00d7 500 = \u20b9600.<\/p>\n\n\n\n<p><strong>Q2.<\/strong> A train 150 m long crosses a pole in 15 seconds. Find its speed in km\/h.<br> Speed = Distance\/Time = 150\/15 = 10 m\/s = 10 \u00d7 18\/5 = 36 km\/h.<\/p>\n\n\n\n<p><strong>Q3.<\/strong> Price of a product increases by 20% and then decreases by 20%. Find net change.<br>Net change = (20\u00b2\/100)% = 4% decrease.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-practice-mcqs-for-railways-using-short-tricks\"><span class=\"ez-toc-section\" id=\"Practice_MCQs_for_Railways_Using_Short_Tricks\"><\/span>Practice MCQs for Railways Using Short Tricks<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Practice MCQs for Railway exams using short tricks to improve speed and accuracy. Focus on topics like percentage, ratio, number series, and simplification, and apply quick methods like approximation and elimination to solve questions faster and score better.<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"UTF-8\">\n<link rel=\"stylesheet\" href=\"https:\/\/courses.oliveboard.in\/edge\/css\/login-modal-for-blog.css\">\n\n<style>\n#quiz-1-sticky-header {\n  position: sticky;\n  top: 0;\n  z-index: 100;\n  background: #1565c0;\n  color: #fff;\n  padding: 12px 20px;\n  border-radius: 10px 10px 0 0;\n  display: flex;\n  justify-content: space-between;\n  align-items: center;\n  font-size: 16px;\n  font-weight: bold;\n  box-shadow: 0 2px 8px rgba(0,0,0,0.2);\n  margin: -20px -20px 20px -20px;\n}\n\n#quiz-1-score-badge {\n  background: rgba(255,255,255,0.2);\n  padding: 4px 12px;\n  border-radius: 20px;\n  font-size: 15px;\n  white-space: nowrap;\n}\n#quiz-1 * { box-sizing: border-box; }\n\n#quiz-1 .quiz-container {\n  max-width: 700px;\n  margin: auto;\n  padding: 20px;\n  background: #fff;\n  border-radius: 14px;\n  box-shadow: 0 6px 16px rgba(0,0,0,0.12);\n}\n\n#quiz-1 h2 {\n  text-align: center;\n}\n\n#quiz-1 .question {\n  margin-bottom: 22px;\n}\n\n#quiz-1 .question p {\n  font-weight: bold;\n}\n\n#quiz-1 button {\n  width: 100%;\n  padding: 12px;\n  margin: 6px 0;\n  border: none;\n  border-radius: 6px;\n  background: #e0e0e0;\n  color: #000;\n  font-size: 16px;\n  cursor: pointer;\n}\n\n#quiz-1 button:hover {\n  background: #d5d5d5;\n}\n\n#quiz-1 button.correct {\n  background: #4caf50;\n  color: #000;\n}\n\n#quiz-1 button.wrong {\n  background: #f44336;\n  color: #000;\n}\n\n#quiz-1 button.locked {\n  pointer-events: none;\n}\n\n\/* SUMMARY *\/\n#quiz-1 .final-summary {\n  margin-top: 40px;\n  padding: 20px;\n  border-radius: 14px;\n  background: #fafafa;\n  border: 2px solid #4caf50;\n}\n\n#quiz-1 .final-summary h3 {\n  text-align: center;\n  margin-bottom: 20px;\n}\n\n#quiz-1 .summary-row {\n  display: grid;\n  grid-template-columns: 120px 1fr 40px;\n  gap: 10px;\n  align-items: center;\n  margin-bottom: 12px;\n  font-weight: bold;\n}\n\n#quiz-1 .summary-bar {\n  height: 14px;\n  background: #ddd;\n  border-radius: 10px;\n  overflow: hidden;\n}\n\n#quiz-1 .bar-fill {\n  height: 100%;\n  width: 0%;\n}\n\n#quiz-1 .bar-attempted { background: #2196f3; }\n#quiz-1 .bar-correct { background: #4caf50; }\n#quiz-1 .bar-wrong { background: #f44336; }\n#quiz-1 .bar-unattempted { background: #9e9e9e; width: 100%; }\n\n#quiz-1 .final-score {\n  text-align: center;\n  font-size: 22px;\n  margin-top: 20px;\n}\n\n#quiz-1 .score-value {\n  font-size: 30px;\n  margin-left: 8px;\n}\n<\/style>\n<\/head>\n\n<body>\n<div id=\"quiz-1\">\n  <div class=\"quiz-container\">\n<div id=\"quiz-1-sticky-header\">\n  <span>Practice MCQs for Railways<\/span>\n  <span id=\"quiz-1-score-badge\">Score: <strong id=\"quiz-1-score-value\">0.00<\/strong><\/span>\n<\/div>\n\n    <!-- QUESTIONS -->\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q1. Ramesh invested \u20b945,000 at 8% per annum simple interest and \u20b930,000 at 12% per annum compound interest (compounded annually). What is the total interest earned after 3 years? (Round to nearest \u20b9)<\/p>\n <button data-correct=\"false\">\u20b922,680<\/button>\n <button data-correct=\"true\">\u20b923,074<\/button>\n <button data-correct=\"false\">\u20b922,953<\/button>\n <button data-correct=\"false\">\u20b921,800<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q2. A sum of money doubles itself at compound interest in 4 years. In how many years will it become 8 times?<\/p>\n <button data-correct=\"false\">10 years<\/button>\n <button data-correct=\"true\">12 years<\/button>\n <button data-correct=\"false\">16 years<\/button>\n <button data-correct=\"false\">8 years<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q3. The difference between compound interest and simple interest on a sum for 3 years at 10% per annum is \u20b9620. Find the principal.<\/p>\n <button data-correct=\"false\">\u20b918,000<\/button>\n <button data-correct=\"true\">\u20b920,000<\/button>\n <button data-correct=\"false\">\u20b922,000<\/button>\n <button data-correct=\"false\">\u20b916,000<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q4. Seema took a loan of \u20b91,20,000 at 15% per annum compound interest, compounded half-yearly. What amount will she pay after 1.5 years?<\/p>\n <button data-correct=\"true\">\u20b91,48,797<\/button>\n <button data-correct=\"false\">\u20b91,46,542<\/button>\n <button data-correct=\"false\">\u20b91,50,234<\/button>\n <button data-correct=\"false\">\u20b91,47,989<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q5. Two equal sums are lent at 6% simple interest and 6% compound interest respectively for 2 years. If the difference in interest is \u20b9108, find the sum lent in each case.<\/p>\n <button data-correct=\"false\">\u20b928,000<\/button>\n <button data-correct=\"false\">\u20b932,000<\/button>\n <button data-correct=\"true\">\u20b930,000<\/button>\n <button data-correct=\"false\">\u20b925,000<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q6. A man invests a certain sum at 10% per annum simple interest and gets \u20b94,500 as interest after 3 years. If he had invested the same sum at 10% per annum compound interest (annually), how much more interest would he have earned?<\/p>\n <button data-correct=\"true\">\u20b9255<\/button>\n <button data-correct=\"false\">\u20b9270<\/button>\n <button data-correct=\"false\">\u20b9245<\/button>\n <button data-correct=\"false\">\u20b9280<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q7. At what rate of compound interest per annum will \u20b964,000 amount to \u20b968,921 in 3 years?<\/p>\n <button data-correct=\"true\">2.5%<\/button>\n <button data-correct=\"false\">3%<\/button>\n <button data-correct=\"false\">2%<\/button>\n <button data-correct=\"false\">4%<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q8. A sum amounts to \u20b92,916 in 2 years and \u20b93,149.28 in 3 years at compound interest. Find the principal.<\/p>\n <button data-correct=\"false\">\u20b92,200<\/button>\n <button data-correct=\"true\">\u20b92,400<\/button>\n <button data-correct=\"false\">\u20b92,500<\/button>\n <button data-correct=\"false\">\u20b92,000<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q9. Vikram borrowed \u20b980,000 at 9% per annum simple interest. After 2 years, he repaid \u20b950,000. How much must he pay at the end of 5 years from the start to clear the debt?<\/p>\n <button data-correct=\"true\">\u20b954,950<\/button>\n <button data-correct=\"false\">\u20b952,760<\/button>\n <button data-correct=\"false\">\u20b956,400<\/button>\n <button data-correct=\"false\">\u20b953,240<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q10. The simple interest on a sum for 5 years at 12% per annum equals the compound interest on \u20b918,000 for 2 years at 10% per annum. Find the principal for simple interest.<\/p>\n <button data-correct=\"false\">\u20b95,700<\/button>\n <button data-correct=\"true\">\u20b96,300<\/button>\n <button data-correct=\"false\">\u20b96,000<\/button>\n <button data-correct=\"false\">\u20b95,500<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q11. A trader marks his goods 40% above cost price and offers a discount of 15%. He uses a false weight of 800 g instead of 1000 g. Find his actual profit percentage.<\/p>\n <button data-correct=\"true\">48.75%<\/button>\n <button data-correct=\"false\">47.5%<\/button>\n <button data-correct=\"false\">50.25%<\/button>\n <button data-correct=\"false\">46.25%<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q12. A sells to B at 20% profit, B sells to C at 15% profit, and C sells to D at 10% loss. If D pays \u20b918,414, what did A pay (cost price for A)?<\/p>\n <button data-correct=\"false\">\u20b912,500<\/button>\n <button data-correct=\"true\">\u20b913,000<\/button>\n <button data-correct=\"false\">\u20b914,500<\/button>\n <button data-correct=\"false\">\u20b915,000<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q13. A shopkeeper sells 12 articles at the cost price of 15 articles. Find his profit percentage.<\/p>\n <button data-correct=\"false\">20%<\/button>\n <button data-correct=\"false\">22%<\/button>\n <button data-correct=\"true\">25%<\/button>\n <button data-correct=\"false\">18%<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q14. By selling 33 metres of cloth, a shopkeeper gains a profit equal to the selling price of 11 metres. Find the profit percentage.<\/p>\n <button data-correct=\"false\">45%<\/button>\n <button data-correct=\"true\">50%<\/button>\n <button data-correct=\"false\">40%<\/button>\n <button data-correct=\"false\">33.33%<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n <p>Q15. A man bought two watches. He sold one at 20% profit and the other at 20% loss. If the selling price of each watch was \u20b9960, find the net loss or profit in rupees.<\/p>\n <button data-correct=\"true\">Loss of \u20b980<\/button>\n <button data-correct=\"false\">Profit of \u20b980<\/button>\n <button data-correct=\"false\">Loss of \u20b9160<\/button>\n <button data-correct=\"false\">No loss no profit<\/button>\n<\/div>\n\n    <!-- FINAL SUMMARY -->\n    <div class=\"final-summary\">\n      <h3>Quiz Summary <\/h3>\n\n      <div class=\"summary-row\">\n        <span>Attempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-attempted\" data-summary=\"attempted\"><\/div><\/div>\n        <span data-count=\"attempted\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Correct<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-correct\" data-summary=\"correct\"><\/div><\/div>\n        <span data-count=\"correct\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        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Memorising the common values given below can help candidates reduce calculation time during Railway exams.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Fraction<\/strong><\/td><td><strong>Percentage<\/strong><\/td><\/tr><tr><td>1\/2<\/td><td>50%<\/td><\/tr><tr><td>1\/3<\/td><td>33.33%<\/td><\/tr><tr><td>1\/4<\/td><td>25%<\/td><\/tr><tr><td>1\/5<\/td><td>20%<\/td><\/tr><tr><td>1\/6<\/td><td>16.67%<\/td><\/tr><tr><td>1\/8<\/td><td>12.5%<\/td><\/tr><tr><td>1\/9<\/td><td>11.11%<\/td><\/tr><tr><td>1\/10<\/td><td>10%<\/td><\/tr><tr><td>1\/12<\/td><td>8.33%<\/td><\/tr><tr><td>1\/16<\/td><td>6.25%<\/td><\/tr><tr><td>2\/3<\/td><td>66.67%<\/td><\/tr><tr><td>3\/4<\/td><td>75%<\/td><\/tr><tr><td>3\/5<\/td><td>60%<\/td><\/tr><tr><td>5\/8<\/td><td>62.5%<\/td><\/tr><tr><td>7\/8<\/td><td>87.5%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Quick Percentage Tricks<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>50% of a number = Divide by 2<\/li>\n\n\n\n<li>25% of a number = Divide by 4<\/li>\n\n\n\n<li>20% of a number = Divide by 5<\/li>\n\n\n\n<li>12.5% of a number = Divide by 8<\/li>\n\n\n\n<li>10% of a number = Divide by 10<\/li>\n\n\n\n<li>5% of a number = Find 10% and divide by 2<\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong><br>12.5% of 640 = 640 \u00f7 8 = <strong>80<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Successive Percentage Change<\/h3>\n\n\n\n<p>If a quantity changes by a% and then by b%:<\/p>\n\n\n\n<p><strong>Net Change = a + b + ab\/100<\/strong><\/p>\n\n\n\n<p>Treat an increase as positive and a decrease as negative.<\/p>\n\n\n\n<p><strong>Example:<\/strong><br>20% increase followed by 10% decrease:<\/p>\n\n\n\n<p>20 &#8211; 10 &#8211; (20 \u00d7 10)\/100<br>= 10 &#8211; 2<br>= <strong>8% increase<\/strong><\/p>\n\n\n\n<p>If the same percentage x% is first increased and then decreased:<\/p>\n\n\n\n<p><strong>Net Decrease = x\u00b2\/100<\/strong><\/p>\n\n\n\n<p>For example:<\/p>\n\n\n\n<p>20% increase followed by 20% decrease<br>= 20\u00b2\/100<br>= <strong>4% decrease<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Reverse Percentage<\/h3>\n\n\n\n<p>If the final value after an x% increase is known:<\/p>\n\n\n\n<p><strong>Original Value = Final Value \u00d7 100\/(100 + x)<\/strong><\/p>\n\n\n\n<p>If the final value after an x% decrease is known:<\/p>\n\n\n\n<p><strong>Original Value = Final Value \u00d7 100\/(100 &#8211; x)<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-profit-loss-and-discount-short-tricks\"><span class=\"ez-toc-section\" id=\"Profit_Loss_and_Discount_Short_Tricks\"><\/span>Profit, Loss and Discount Short Tricks<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Profit &amp; Loss questions become easier when candidates understand the relationship between Cost Price, Selling Price, Marked Price, and Discount.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Important Formulas<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>Concept<\/th><th>Formula<\/th><\/tr><tr><td>Profit<\/td><td>SP &#8211; CP<\/td><\/tr><tr><td>Loss<\/td><td>CP &#8211; SP<\/td><\/tr><tr><td>Profit %<\/td><td>Profit\/CP \u00d7 100<\/td><\/tr><tr><td>Loss %<\/td><td>Loss\/CP \u00d7 100<\/td><\/tr><tr><td>SP at p% Profit<\/td><td>CP \u00d7 (100 + p)\/100<\/td><\/tr><tr><td>SP at l% Loss<\/td><td>CP \u00d7 (100 &#8211; l)\/100<\/td><\/tr><tr><td>Discount<\/td><td>MP &#8211; SP<\/td><\/tr><tr><td>Discount %<\/td><td>Discount\/MP \u00d7 100<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Where:<\/p>\n\n\n\n<p><strong>CP = Cost Price<\/strong><br><strong>SP = Selling Price<\/strong><br><strong>MP = Marked Price<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Ratio Shortcut<\/h3>\n\n\n\n<p>If an article is sold at 20% profit:<\/p>\n\n\n\n<p>CP : SP = 100 : 120 = <strong>5 : 6<\/strong><\/p>\n\n\n\n<p>If an article is sold at 20% loss:<\/p>\n\n\n\n<p>CP : SP = 100 : 80 = <strong>5 : 4<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Successive Discount Trick<\/h3>\n\n\n\n<p>For two successive discounts of a% and b%:<\/p>\n\n\n\n<p><strong>Equivalent Discount = a + b &#8211; ab\/100<\/strong><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>Discounts of 20% and 10%<\/p>\n\n\n\n<p>= 20 + 10 &#8211; (20 \u00d7 10)\/100<br>= <strong>28%<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">False Weight Shortcut<\/h3>\n\n\n\n<p>If a shopkeeper charges for 1000 g but gives only x grams:<\/p>\n\n\n\n<p><strong>Profit % = [(1000 &#8211; x)\/x] \u00d7 100<\/strong><\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<p>If only 800 g is given instead of 1000 g:<\/p>\n\n\n\n<p>Profit %<br>= (200\/800) \u00d7 100<br>= <strong>25%<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Time_Speed_and_Distance_Short_Tricks\"><\/span>Time, Speed and Distance Short Tricks<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Time, Speed and Distance questions in Railway exams often involve trains, platforms, relative speed, and average speed.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Basic Formulas<\/h3>\n\n\n\n<p><strong>Speed = Distance \/ Time<\/strong><\/p>\n\n\n\n<p><strong>Time = Distance \/ Speed<\/strong><\/p>\n\n\n\n<p><strong>Distance = Speed \u00d7 Time<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Speed Conversion<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>Conversion<\/th><th>Shortcut<\/th><\/tr><tr><td>km\/h to m\/s<\/td><td>\u00d7 5\/18<\/td><\/tr><tr><td>m\/s to km\/h<\/td><td>\u00d7 18\/5<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Useful direct conversions:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>km\/h<\/th><th>m\/s<\/th><\/tr><tr><td>18<\/td><td>5<\/td><\/tr><tr><td>36<\/td><td>10<\/td><\/tr><tr><td>54<\/td><td>15<\/td><\/tr><tr><td>72<\/td><td>20<\/td><\/tr><tr><td>90<\/td><td>25<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Relative Speed<\/h3>\n\n\n\n<p><strong>Same direction:<\/strong><br>Relative Speed = Difference of speeds<\/p>\n\n\n\n<p><strong>Opposite direction:<\/strong><br>Relative Speed = Sum of speeds<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Train Questions<\/h3>\n\n\n\n<p><strong>Train crossing a pole\/person:<\/strong><br>Distance = Length of Train<\/p>\n\n\n\n<p><strong>Train crossing a platform:<\/strong><br>Distance = Train Length + Platform Length<\/p>\n\n\n\n<p><strong>Two trains crossing each other:<\/strong><br>Distance = Sum of lengths of both trains<\/p>\n\n\n\n<p>Time can then be calculated using:<\/p>\n\n\n\n<p><strong>Time = Distance \/ Relative Speed<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Average Speed<\/h3>\n\n\n\n<p>For equal distances covered at speeds x and y:<\/p>\n\n\n\n<p><strong>Average Speed = 2xy\/(x + y)<\/strong><\/p>\n\n\n\n<p>For equal time spent at speeds x and y:<\/p>\n\n\n\n<p><strong>Average Speed = (x + y)\/2<\/strong><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>A person travels equal distances at 40 km\/h and 60 km\/h.<\/p>\n\n\n\n<p>Average Speed<br>= (2 \u00d7 40 \u00d7 60)\/(40 + 60)<br>= <strong>48 km\/h<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Simple_and_Compound_Interest_Short_Tricks\"><\/span>Simple and Compound Interest Short Tricks<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Simple Interest and Compound Interest questions are also common in Railway arithmetic sections and are useful to revise along with Percentage and Profit &amp; Loss.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Simple Interest<\/h3>\n\n\n\n<p><strong>SI = PRT\/100<\/strong><\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<p>P = Principal<br>R = Rate<br>T = Time<\/p>\n\n\n\n<p><strong>Amount = Principal + SI<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Compound Interest<\/h3>\n\n\n\n<p>For annual compounding:<\/p>\n\n\n\n<p><strong>Amount = P(1 + R\/100)\u1d40<\/strong><\/p>\n\n\n\n<p><strong>CI = Amount &#8211; Principal<\/strong><\/p>\n\n\n\n<p>For half-yearly compounding:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Rate becomes R\/2<\/li>\n\n\n\n<li>Number of periods becomes 2T<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Difference Between CI and SI for 2 Years<\/h3>\n\n\n\n<p><strong>Difference = P \u00d7 (R\/100)\u00b2<\/strong><\/p>\n\n\n\n<p><strong>Example:<\/strong><br>Principal = \u20b910,000<br>Rate = 10%<\/p>\n\n\n\n<p>Difference<br>= 10,000 \u00d7 (10\/100)\u00b2<br>= <strong>\u20b9100<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Quick_Calculation_Tricks_for_Railway_Exams\"><\/span>Quick Calculation Tricks for Railway Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Fast calculation can significantly improve performance in arithmetic questions.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>Calculation<\/th><th>Shortcut<\/th><\/tr><tr><td>Multiply by 5<\/td><td>Multiply by 10 and divide by 2<\/td><\/tr><tr><td>Multiply by 25<\/td><td>Multiply by 100 and divide by 4<\/td><\/tr><tr><td>Multiply by 125<\/td><td>Multiply by 1000 and divide by 8<\/td><\/tr><tr><td>Find 5%<\/td><td>Find 10% and divide by 2<\/td><\/tr><tr><td>Find 15%<\/td><td>Add 10% and 5%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<p>48 \u00d7 25<br>= 4800 \u00f7 4<br>= <strong>1200<\/strong><\/p>\n\n\n\n<p>32 \u00d7 125<br>= 32,000 \u00f7 8<br>= <strong>4,000<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid\"><\/span>Common Mistakes to Avoid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Candidates should avoid the following errors while applying short tricks:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profit % and Loss % are generally calculated on Cost Price.<\/li>\n\n\n\n<li>Discount is calculated on Marked Price.<\/li>\n\n\n\n<li>Do not directly add successive percentage changes.<\/li>\n\n\n\n<li>Do not use the simple average of two speeds when equal distances are covered.<\/li>\n\n\n\n<li>Convert km\/h into m\/s when distance is given in metres and time in seconds.<\/li>\n\n\n\n<li>In two-train crossing questions, include the lengths of both trains.<\/li>\n\n\n\n<li>Always identify the concept before applying a shortcut.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Railway_Maths_Short_Tricks_at_a_Glance\"><\/span>Railway Maths Short Tricks at a Glance<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>Topic<\/th><th>Formula \/ Trick<\/th><\/tr><tr><td>x% of y<\/td><td>x \u00d7 y \/ 100<\/td><\/tr><tr><td>Equal % increase and decrease<\/td><td>x\u00b2\/100% decrease<\/td><\/tr><tr><td>Successive increase<\/td><td>a + b + ab\/100<\/td><\/tr><tr><td>Successive discount<\/td><td>a + b &#8211; ab\/100<\/td><\/tr><tr><td>Profit %<\/td><td>Profit\/CP \u00d7 100<\/td><\/tr><tr><td>Loss %<\/td><td>Loss\/CP \u00d7 100<\/td><\/tr><tr><td>km\/h to m\/s<\/td><td>\u00d7 5\/18<\/td><\/tr><tr><td>m\/s to km\/h<\/td><td>\u00d7 18\/5<\/td><\/tr><tr><td>Equal-distance average speed<\/td><td>2xy\/(x + y)<\/td><\/tr><tr><td>Opposite-direction relative speed<\/td><td>Sum of speeds<\/td><\/tr><tr><td>Same-direction relative speed<\/td><td>Difference of speeds<\/td><\/tr><tr><td>Simple Interest<\/td><td>PRT\/100<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"How_to_Use_Short_Tricks_Effectively\"><\/span>How to Use Short Tricks Effectively<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Short tricks are most useful when combined with regular practice. Candidates should:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Memorise common fractions and percentages.<\/li>\n\n\n\n<li>Practise squares, cubes, and basic calculations.<\/li>\n\n\n\n<li>Solve previous-year Railway exam questions.<\/li>\n\n\n\n<li>Use approximation only when options are sufficiently far apart.<\/li>\n\n\n\n<li>Practise questions with a timer.<\/li>\n\n\n\n<li>Review calculation and conceptual mistakes after every mock test.<\/li>\n<\/ul>\n\n\n\n<p>The aim should be to improve both speed and accuracy rather than applying shortcuts blindly.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1756367618665\"><strong class=\"schema-faq-question\">Q.1 Why should I learn short tricks for railway exams?<\/strong> <p class=\"schema-faq-answer\"> With the knowledge of right short tricks and formulas, you can save time and solve more questions quickly.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1756367918293\"><strong class=\"schema-faq-question\">Q.2 How much time should I invest in one problem?<\/strong> <p class=\"schema-faq-answer\">As an applicant, it is recommended not to spend more than 40\u201350 seconds on one question.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1756367980899\"><strong class=\"schema-faq-question\">Q.3 Do I need to attempt mock tests regularly?<\/strong> <p class=\"schema-faq-answer\">Yes, it is recommended to attempt mock tests regularly to improve your performance.<br\/><\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1756368031487\"><strong class=\"schema-faq-question\">Q.4 Should I learn the formulas too for the exams?<\/strong> <p class=\"schema-faq-answer\">By learning formulas like net percentage change, net profit with discount, relative speed, and average speed, you can attempt more questions accurately within the time limit.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1756368076518\"><strong class=\"schema-faq-question\">Q.5 For which railway exams should I learn these short tricks?<\/strong> <p class=\"schema-faq-answer\">You must learn these short tricks and tips for competitive exams like RRB NTPC, Group D, ALP, and RPF.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-general-awareness-questions\/\">SSC CHSL General Awareness Questions, Download PDF &amp; Attempt Quiz<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/static-gk-topics\/\">Static GK Topics for SSC &amp; Railway Exams 2026, Check Topic-Wise Weightage<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-topic-wise-weightage\/\">SSC CHSL Topic Wise Weightage 2026 for Tier 1, Check now<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-tier-2-pyps\/\">SSC CHSL Tier 2 Question Papers, Shift-Wise PYPs, Download PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/best-books-for-ssc-chsl\/\">Best Books for SSC CHSL 2026, Check Subject-Wise Books<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-job-profile-and-salary\/\">SSC CHSL Job Profile and Salary with Career Growth, Check Now<\/a><\/li>\n<\/ul>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>Competitive exams such as RRB NTPC, RRB Group D, RRB ALP, and RPF require candidates to solve quantitative aptitude questions<\/p>\n","protected":false},"author":63,"featured_media":242362,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[555,10231],"tags":[],"class_list":["post-226103","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-railways-rrb","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Short Tricks for Railway Exams 2026, Solve Questions Live<\/title>\n<meta name=\"description\" content=\"Learning the Short Tricks for Railway Exams is very important to score good marks in the railway exams. 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