{"id":49906,"date":"2025-08-25T20:42:43","date_gmt":"2025-08-25T15:12:43","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=49906"},"modified":"2025-08-25T20:42:44","modified_gmt":"2025-08-25T15:12:44","slug":"mixture-alligation-short-tricks","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/","title":{"rendered":"Mixture and Alligation, Short Tricks, Concepts, and Usage"},"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\/mixture-alligation-short-tricks\/#What_Is_Mixture_and_Alligation_in_Quantitative_Aptitude\" >What Is Mixture and Alligation in Quantitative Aptitude?<\/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\/mixture-alligation-short-tricks\/#Why_is_Mixture_and_Alligation_an_Important_Topic_in_Competitive_Exams\" >Why is Mixture and Alligation an Important Topic in Competitive Exams?<\/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\/mixture-alligation-short-tricks\/#Terms_Used_in_Mixture_and_Alligation_Questions\" >Terms Used in Mixture and Alligation Questions<\/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\/mixture-alligation-short-tricks\/#What_are_the_Different_Types_of_Mixtures_in_Alligation\" >What are the Different Types of Mixtures in Alligation?<\/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\/mixture-alligation-short-tricks\/#What_Are_the_Types_of_Mixture_and_Alligation_Questions_in_Quantitative_Aptitude\" >What Are the Types of Mixture and Alligation Questions in Quantitative Aptitude?<\/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\/mixture-alligation-short-tricks\/#Mixture_and_Alligation_Formulas_for_Quantitative_Aptitude\" >Mixture and Alligation Formulas for Quantitative Aptitude<\/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\/mixture-alligation-short-tricks\/#Properties_of_Mixture_and_Alligation\" >Properties of Mixture and Alligation<\/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\/mixture-alligation-short-tricks\/#Mixture_and_Alligation_Tricks_for_SSC_CGL_and_Other_Exams\" >Mixture and Alligation Tricks for SSC CGL and Other Exams<\/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\/mixture-alligation-short-tricks\/#Solved_Mixture_and_Alligation_Questions_from_2024%E2%80%9325_Exams\" >Solved Mixture and Alligation Questions from 2024\u201325 Exams<\/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\/mixture-alligation-short-tricks\/#Mixture_and_Allegation_Concepts_for_Bank_Exams\" >Mixture and Allegation Concepts for Bank Exams<\/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\/mixture-alligation-short-tricks\/#Common_Mistakes_to_Avoid_while_Solving_Mixture_and_Alligation\" >Common Mistakes to Avoid while Solving Mixture and Alligation<\/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\/mixture-alligation-short-tricks\/#What_Are_Related_Topics_I_Should_Revise_Next\" >What Are Related Topics I Should Revise Next?<\/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\/mixture-alligation-short-tricks\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Mixture and Alligation is a part of the Quantitative Aptitude syllabus, and questions from this topic are asked in Bank, SSC, and other competitive exams. These questions can be tricky and time-consuming if solved using basic formulas. However, by applying the alligation rule and various short tricks, they can be solved quickly. <\/p>\n\n\n\n<p>In the prelims exam, usually 1 to 2 questions are asked, whereas in the mains exam, 4\u20135 questions, including DI based on this concept, may be included. In this blog, we will explain the detailed concept of mixture and alligation along with short tricks, key concepts, and important notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Is_Mixture_and_Alligation_in_Quantitative_Aptitude\"><\/span>What Is Mixture and Alligation in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>Mixture and Allegation<\/strong> is a mathematical method used to determine the ratio in which two or more ingredients or quantities at different prices or concentrations are mixed to obtain a mixture with a desired average value.<\/p>\n\n\n\n<p>This topic is common in quantitative aptitude because it tests both logical reasoning and arithmetic speed.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why It Appears in Exams:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Frequently used in questions involving <strong>milk-water<\/strong>, <strong>acid-base<\/strong>, or <strong>cost-price<\/strong> mixing problems.<\/li><li>Tests the candidate\u2019s ability to visualize and balance quantities logically.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Skills Required:<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Ratio and proportion understanding<\/li><li>Basic arithmetic<\/li><li>Logical visualization<\/li><li>Diagrammatic reasoning (for the allegation rule)<\/li><\/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\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Why_is_Mixture_and_Alligation_an_Important_Topic_in_Competitive_Exams\"><\/span>Why is Mixture and Alligation an Important Topic in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Every competitive exam includes one to two questions from this topic. The details of the number of questions being asked from this topic are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td>SSC CGL \/ CHSL<\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td>IBPS PO \/ SBI PO<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><tr><td>RRB NTPC \/ Group D<\/td><td>1<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Terms_Used_in_Mixture_and_Alligation_Questions\"><\/span>Terms Used in Mixture and Alligation Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The terms that are most commonly used in Mixture and Alligation type questions are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Term<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Mixture<\/td><td>A combination of two or more components (e.g., milk and water, acid and base).<\/td><\/tr><tr><td>Mean Price \/ Mean Value (M)<\/td><td>The average value or price of the mixture. Formula: (Q\u2081\u00d7V\u2081 + Q\u2082\u00d7V\u2082) \u00f7 (Q\u2081 + Q\u2082)<\/td><\/tr><tr><td>Allegation Rule<\/td><td>Shortcut method to find the ratio in which two or more ingredients are mixed.<\/td><\/tr><tr><td>Alligation Diagram<\/td><td>A visual tool to apply: (D1 &#8211; M):(M &#8211; D2), where D1 and D2 are individual values.<\/td><\/tr><tr><td>D1 &amp; D2<\/td><td>Values of the individual components (e.g., cost or concentration).<\/td><\/tr><tr><td>Replacement<\/td><td>Removing a portion of a mixture and replacing it with another component.<\/td><\/tr><tr><td>Replacement Formula<\/td><td>Final = Initial \u00d7 (1 &#8211; Removed\/Total)\u207f, where n = number of times replaced.<\/td><\/tr><tr><td>Cross Difference Trick<\/td><td>Used in alligation: (Higher &#8211; Mean) : (Mean &#8211; Lower) forms the mixing ratio.<\/td><\/tr><tr><td>Successive Replacement<\/td><td>Used when the process of replacement happens more than once.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_are_the_Different_Types_of_Mixtures_in_Alligation\"><\/span>What are the Different Types of Mixtures in Alligation?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>When two or more substances are combined, they form a <strong>mixture<\/strong>. <strong>Alligation<\/strong> is a quick mathematical method to solve problems related to mixtures and their proportions. It helps in finding either the <strong>mean value<\/strong> of a mixture or the <strong>ratio<\/strong> in which items should be combined. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Mixture<\/h3>\n\n\n\n<p>Mixtures can be of two types:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">1. Simple Mixtures<\/h4>\n\n\n\n<p>These are created by directly combining two or more different items. They are the most basic type of mixtures and are often easy to understand.<\/p>\n\n\n\n<p><strong>Example:<\/strong> An <strong>alloy<\/strong> like <em>bronze<\/em> (made from copper and tin) or <em>steel<\/em> (made from iron and carbon) is a simple mixture.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. Complex Mixtures<\/h4>\n\n\n\n<p>A complex mixture is formed when the substances being mixed are themselves already mixtures. Solving problems on these requires more steps because you deal with multiple ratios.<\/p>\n\n\n\n<p><strong>Example:<\/strong> If you mix two different alloys (each made from different metals), you get a complex mixture.<\/p>\n\n\n<figure class=\"wp-block-embed wp-embed-aspect-16-9 wp-has-aspect-ratio  is-type-video is-provider-youtube wp-block-embed-youtube\"><div class=\"wp-block-embed__wrapper video-seo-youtube-embed-wrapper\"><div class=\"video-seo-youtube-player\" data-id=\"undNlrF_hwg\"><\/div><\/div><\/figure>\n\n\n<h3 class=\"wp-block-heading\">Alligation<\/h3>\n\n\n\n<p>There are two main types of alligation:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">1. Alligation Medial<\/h4>\n\n\n\n<p>This is used when the <strong>quantity<\/strong> and <strong>value<\/strong> (price, percentage, or concentration) of the ingredients are known. Here, you calculate the average or overall value of the mixture.<\/p>\n\n\n\n<p>It works just like a <strong>weighted average<\/strong>.<\/p>\n\n\n\n<p><strong>Example:<\/strong> If you mix milk worth \u20b940 per litre with water worth \u20b90, the average price of the mixture will lie between \u20b90 and \u20b940.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. Alligation Alternate<\/h4>\n\n\n\n<p>This method is used when you already know the <strong>final value<\/strong> of the mixture and want to find the ratio in which two ingredients should be mixed.<\/p>\n\n\n\n<p>It is slightly more advanced but very useful in creating mixtures of a desired value.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_the_Types_of_Mixture_and_Alligation_Questions_in_Quantitative_Aptitude\"><\/span>What Are the Types of Mixture and Alligation Questions in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>There are various types of Mixture and Alligation questions that are commonly asked in examinations. The details are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Direct Mixture Questions<\/strong>: Simple average or weighted mean calculation<\/li><li><strong>Allegation Rule Application<\/strong>: Find ratio using cross-difference<\/li><li><strong>Replacement Type<\/strong>: Quantity removed and replaced repeatedly<\/li><li><strong>Mixed Concept<\/strong>: Mixture + profit-loss or percentage-based puzzles<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mixture_and_Alligation_Formulas_for_Quantitative_Aptitude\"><\/span>Mixture and Alligation Formulas for Quantitative Aptitude<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The details of the formulas used to solve Mixture and Alligation questions are as follows:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"786\" height=\"408\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-2.png\" alt=\"\" class=\"wp-image-223574\"\/><\/figure><\/div>\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\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Properties_of_Mixture_and_Alligation\"><\/span>Properties of Mixture and Alligation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>When substances are mixed, whether liquids or solids, some fixed rules always apply. These rules help in solving mixture problems in maths and in real life.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Property<\/strong><\/td><td><strong>Details<\/strong><\/td><td><strong>Example<\/strong><\/td><\/tr><tr><td><strong>1. Mean Value or Mean Price<\/strong><\/td><td>The mean value is the average cost, concentration, or percentage of the mixture. It always lies between the values of the two ingredients.<\/td><td>If rice costs \u20b960\/kg and wheat costs \u20b940\/kg, then the mixture price will lie between \u20b940 and \u20b960.<\/td><\/tr><tr><td><strong>2. Rule of Alligation<\/strong><\/td><td>This rule helps to find the ratio in which two items should be mixed to obtain a mixture of a required value.<\/td><td>If tea costs \u20b9300\/kg and another tea costs \u20b9200\/kg, and the average value required is \u20b9250\/kg: <strong>Ratio = (250\u2013200):(300\u2013250) = 50:50 = 1:1<\/strong>.<\/td><\/tr><tr><td><strong>3. Mean Value Always Lies Between the Two Costs<\/strong><\/td><td>The value of a mixture will never be lower than the cheaper item or higher than the costlier item.<\/td><td>If petrol costs \u20b9110\/litre and kerosene costs \u20b980\/litre, the mixture price will always lie between \u20b980 and \u20b9110.<\/td><\/tr><tr><td><strong>4. Proportional Relation of Quantity and Value<\/strong><\/td><td>The closer the mean value is to one item, the more of that item is used in the mixture.<\/td><td>If the average cost is closer to kerosene (\u20b980\/litre) than to petrol (\u20b9110\/litre), then more kerosene will be used in the mixture.<\/td><\/tr><tr><td><strong>5. Application in Percentages and Concentrations<\/strong><\/td><td>The same rule applies when working with percentages or concentrations.<\/td><td>Mixing a 10% salt solution with a 40% salt solution will give a concentration between 10% and 40%.<\/td><\/tr><tr><td><strong>6. Additive Value of Mixtures<\/strong><\/td><td>The total value of the mixture equals the sum of values of all ingredients.<\/td><td>If 3 kg of rice (\u20b950\/kg) and 2 kg of wheat (\u20b940\/kg) are mixed, total value = (3 \u00d7 50) + (2 \u00d7 40) = \u20b9150 + \u20b980 = \u20b9230.<\/td><\/tr><tr><td><strong>7. Replacement Property<\/strong><\/td><td>When part of a mixture is removed and replaced with another substance, the concentration\/value changes but can still be calculated by alligation.<\/td><td>If 2 litres of a 30% sugar solution are taken out from a 10-litre container and replaced with water, the final concentration reduces and can be found using alligation.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mixture_and_Alligation_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>Mixture and Alligation Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Some of the solved questions from the Mixture and Alligation topic are as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>Use Alligation Diagram<\/strong> to reduce steps in ratio problems.<\/li><li><strong>Memorize cross-difference trick<\/strong> to apply allegation instantly.<\/li><li><strong>In replacement problems<\/strong>, directly apply geometric formula.<\/li><li><strong>Use weighted average<\/strong> only when quantities differ significantly.<\/li><li><strong>For profit-based mixtures<\/strong>, set up mean as SP and inputs as CPs.<\/li><li><strong>Mark options &amp; back-solve<\/strong> when allegation is confusing.<\/li><\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solved_Mixture_and_Alligation_Questions_from_2024%E2%80%9325_Exams\"><\/span>Solved Mixture and Alligation Questions from 2024\u201325 Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Some of the solved questions from <a href=\"https:\/\/www.oliveboard.in\/blog\/mixture-and-alligation\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mixture and Alligation <\/a>topic are as follows:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Asked in SSC CGL 2024 Tier 1 Shift 2 \u2013 Memory-Based<\/h3>\n\n\n\n<p><strong>Q:<\/strong> A mixture contains milk and water in the ratio 3:1. 20 liters of the mixture is replaced by water. New ratio becomes 1:1. Find initial quantity.<br><strong>Answer:<\/strong> 40 liters<br><strong>Explanation:<\/strong> Let total = 40 \u2192 milk = 30, water = 10 \u2192 remove 20 liters \u2192 milk left = 15 \u2192 add 20 water \u2192 new ratio = 15:25 = 3:5 \u2192 Not 1:1<br>Try 60 \u2192 works.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">From IBPS PO Prelims 2024<\/h3>\n\n\n\n<p><strong>Q:<\/strong> In what ratio should tea worth \u20b930\/kg be mixed with tea worth \u20b950\/kg so that the mixture is worth \u20b936\/kg?<br><strong>Answer:<\/strong> 7:1<br><strong>Explanation:<\/strong><br>Use alligation:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"507\" height=\"109\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-3.png\" alt=\"\" class=\"wp-image-223575\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">Based on memory \u2013 RRB Group D 2025<\/h3>\n\n\n\n<p><strong>Q:<\/strong> A container has 40L milk. 10L is removed and replaced with water. This is repeated once more. Final quantity of milk?<br><strong>Answer:<\/strong> 24.75L<br><strong>Explanation:<\/strong><br>Use replacement formula:<br><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-4.png\" alt=\"\" class=\"wp-image-223576\" width=\"504\" height=\"75\"\/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mixture_and_Allegation_Concepts_for_Bank_Exams\"><\/span>Mixture and Allegation Concepts for Bank Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In <strong>IBPS and SBI<\/strong>, the focus is often on:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Coded Allegation<\/strong>: prices or concentrations are represented by symbols.<\/li><li><strong>Mixture + Profit<\/strong>: Calculate gain on spurious mixtures.<\/li><li><strong>Successive Replacement<\/strong>: Repeated removal and addition of components.<\/li><\/ul>\n\n\n\n<p><strong>Example:<\/strong><br><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"888\" height=\"134\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/image-5.png\" alt=\"\" class=\"wp-image-223580\"\/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_Mixture_and_Alligation\"><\/span>Common Mistakes to Avoid while Solving Mixture and Alligation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Most aspirants make common mistakes while solving questions from this topic. You must avoid the following mistakes while solving Mixture and Alligation questions:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Using simple average instead of weighted mean.<\/li><li>Misapplying the allegation rule with wrong order.<\/li><li>Forgetting the replacement formula\u2019s exponent.<\/li><li>Not converting percentages into proper ratios.<\/li><li>Mixing quantity units (litres vs kgs) without checking context.<\/li><\/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\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_Related_Topics_I_Should_Revise_Next\"><\/span>What Are Related Topics I Should Revise Next?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Topics you should revise next are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Questions based on Time and Distance<\/li><li>Rules and Practice Questions of Simplification<\/li><li>Shortcuts and Patterns of Number Series<\/li><li>Various types of Questions Based on Data Interpretation<\/li><li>Tricks &amp; Examples of Inequalities<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><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-1754299761600\"><strong class=\"schema-faq-question\">Q1. Can Mixture and Alligation be used in Data Interpretation (DI)?<\/strong> <p class=\"schema-faq-answer\">Yes. In <strong>Banking Mains exams<\/strong>, especially <strong>IBPS PO<\/strong> or <strong>SBI PO<\/strong>, the concept is embedded within DI charts, pie graphs, or caselets involving milk-water or price-mixture-based sets.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754299762387\"><strong class=\"schema-faq-question\">Q2. What is the formula for Alligation Rule?<\/strong> <p class=\"schema-faq-answer\">The basic formula is:<br\/>Quantity\u00a0of\u00a0B\/Quantity\u00a0of\u00a0A\u200b=M\u2212D1 <strong>\u200b\/<\/strong> D2\u200b\u2212M\u200b<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754299762945\"><strong class=\"schema-faq-question\">Q3. When should I use Alligation instead of Average?<\/strong> <p class=\"schema-faq-answer\">Use alligation when you know the values and mean, and need to find the ratio or quantity of components to mix.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754299764163\"><strong class=\"schema-faq-question\">Q4. Can Alligation be applied when mixing more than two items?<\/strong> <p class=\"schema-faq-answer\">Yes, but it becomes complex. Use pairwise or weighted average methods instead for three or more items.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754299764842\"><strong class=\"schema-faq-question\">Q5. What is the trick to solve questions with unequal quantities?<\/strong> <p class=\"schema-faq-answer\">Use the weighted average formula, then apply alligation to derive the ratio for unequal quantities.<\/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\/most-important-questions-asked-in-ssc-selection-post-exam\/\">Most Important Questions Asked in SSC Selection Post Exam 2026, Attempt Now<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-selection-post-practice-quiz\/\">SSC Selection Post Exam 2026 Phase 14 Practice Quiz, Attempt Now<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/quant-practice-questions-for-bank-exams\/\">Quant Practice Questions for Bank Exams, FREE PDF and Live Quiz<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-pharmacist-vacancy\/\">SSC Selection Post Pharmacist Vacancy 2026, Total Posts, Eligibility &amp; Details<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ibps-po-eligibility-check-tool\/\">Are You Eligible for IBPS PO 2026? Check Eligibility with FREE Live Tool<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ibps-clerk-eligibility-check-tool\/\">Are You Eligible for IBPS Clerk 2026? Check Eligibility with FREE Live Tool<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Mixture and Alligation is a part of the Quantitative Aptitude syllabus, and questions from this topic are asked in Bank,<\/p>\n","protected":false},"author":58,"featured_media":223581,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,10231],"tags":[],"class_list":["post-49906","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bank-exams","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>Mixture and Alligation, Short Tricks, Concepts, and Usage<\/title>\n<meta name=\"description\" content=\"Check out the formulas for Mixture and Alligation, along with time-saving short tricks and tips to solve questions based on this topic.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mixture and Alligation, Short Tricks, Concepts, and Usage\" \/>\n<meta property=\"og:description\" content=\"Mixture and Alligation is a part of the Quantitative Aptitude syllabus, and questions from this topic are asked in Bank, SSC, and other competitive exams.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/\" \/>\n<meta property=\"og:site_name\" content=\"Oliveboard\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Oliveboard\" \/>\n<meta property=\"article:published_time\" content=\"2025-08-25T15:12:43+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-08-25T15:12:44+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/mixture-and-alligation.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"730\" \/>\n\t<meta property=\"og:image:height\" content=\"480\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"AditiOB\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@Oliveboard\" \/>\n<meta name=\"twitter:site\" content=\"@Oliveboard\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"AditiOB\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"NewsArticle\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/\"},\"author\":{\"name\":\"AditiOB\",\"@id\":\"https:\/\/www.oliveboard.in\/blog\/#\/schema\/person\/0cbc4ac8555ced346681804861de062c\"},\"headline\":\"Mixture and Alligation, Short Tricks, Concepts, and Usage\",\"datePublished\":\"2025-08-25T15:12:43+00:00\",\"dateModified\":\"2025-08-25T15:12:44+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/\"},\"wordCount\":1642,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/08\/mixture-and-alligation.webp\",\"articleSection\":[\"Bank Exams\",\"SSC &amp; 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I work as a Content Writer at Oliveboard, where I have been simplifying exam-related content for the past 4 years. I create clear and easy-to-understand guides for JAIIB, CAIIB, and UGC exams. My work includes breaking down notifications, admit cards, and exam updates, as well as preparing study plans and subject-wise strategies. My goal is to support working professionals in managing their exam preparation alongside a full-time job and to help them achieve career growth.","sameAs":["www.linkedin.com\/in\/aditi-chakraborty-131b3b379"]},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#faq-question-1754299761600","position":1,"url":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#faq-question-1754299761600","name":"Q1. Can Mixture and Alligation be used in Data Interpretation (DI)?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Yes. In <strong>Banking Mains exams<\/strong>, especially <strong>IBPS PO<\/strong> or <strong>SBI PO<\/strong>, the concept is embedded within DI charts, pie graphs, or caselets involving milk-water or price-mixture-based sets.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#faq-question-1754299762387","position":2,"url":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#faq-question-1754299762387","name":"Q2. What is the formula for Alligation Rule?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The basic formula is:<br\/>Quantity\u00a0of\u00a0B\/Quantity\u00a0of\u00a0A\u200b=M\u2212D1 <strong>\u200b\/<\/strong> D2\u200b\u2212M\u200b","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#faq-question-1754299762945","position":3,"url":"https:\/\/www.oliveboard.in\/blog\/mixture-alligation-short-tricks\/#faq-question-1754299762945","name":"Q3. 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