Important RPF Constable Maths Questions, Download PDF

Q1. Ramesh invested ₹45,000 at 8% per annum simple interest and ₹30,000 at 12% per annum compound interest (compounded annually). What is the total interest earned after 3 years? (Round to nearest ₹)

Q2. A sum of money doubles itself at compound interest in 4 years. In how many years will it become 8 times?

Q3. The difference between compound interest and simple interest on a sum for 3 years at 10% per annum is ₹620. Find the principal.

Q4. Seema took a loan of ₹1,20,000 at 15% per annum compound interest, compounded half-yearly. What amount will she pay after 1.5 years?

Q5. Two equal sums are lent at 6% simple interest and 6% compound interest respectively for 2 years. If the difference in interest is ₹108, find the sum lent in each case.

Q6. A man invests a certain sum at 10% per annum simple interest and gets ₹4,500 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?

Q7. At what rate of compound interest per annum will ₹64,000 amount to ₹68,921 in 3 years?

Q8. A sum amounts to ₹2,916 in 2 years and ₹3,149.28 in 3 years at compound interest. Find the principal.

Q9. Vikram borrowed ₹80,000 at 9% per annum simple interest. After 2 years, he repaid ₹50,000. How much must he pay at the end of 5 years from the start to clear the debt?

Q10. The simple interest on a sum for 5 years at 12% per annum equals the compound interest on ₹18,000 for 2 years at 10% per annum. Find the principal for simple interest.

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.

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 ₹18,414, what did A pay (cost price for A)?

Q13. A shopkeeper sells 12 articles at the cost price of 15 articles. Find his profit percentage.

Q14. By selling 33 metres of cloth, a shopkeeper gains a profit equal to the selling price of 11 metres. Find the profit percentage.

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 ₹960, find the net loss or profit in rupees.

Q16. A dealer sells goods at 6% loss on cost price but uses 900 g weight instead of 1 kg. Find his actual profit or loss percentage.

Q17. On selling 17 balls at ₹720, there is a loss equal to the cost of 5 balls. The cost price of a ball is:

Q18. A man bought a plot of land for ₹3,60,000. He sells 3/5 of it at a 20% loss. At what percentage profit should he sell the remaining land to achieve an overall profit of 10%?

Q19. A manufacturer sells to a wholesaler at 20% profit, the wholesaler sells to a retailer at 15% profit, and the retailer sells at 10% profit. If the consumer pays ₹15,180, what is the manufacturer’s cost price?

Q20. A and B invested ₹36,000 and ₹44,000 in a business. A is a working partner and gets 25% of the profit as salary. The remaining profit is shared in the investment ratio. If the total profit is ₹40,000, what does B receive?

Q21. Two trains of lengths 180 m and 220 m run on parallel tracks. When running in the same direction, the faster train crosses the slower one in 50 seconds. When running in opposite directions, they cross each other in 10 seconds. Find the speeds of both trains.

Q22. A man can row 7.5 km/h in still water. If the river flows at 1.5 km/h, it takes him 50 minutes to row to a place and come back. How far is the place?

Q23. A car covers the first 60 km at 30 km/h, the next 60 km at 40 km/h, and the last 60 km at 60 km/h. What is the average speed for the entire journey?

Q24. A thief is spotted by a policeman from 200 m. The thief starts running and the policeman chases. If the thief’s speed is 10 km/h and the policeman’s speed is 12 km/h, after how many minutes will the policeman catch the thief?

Q25. A 300 m long train, travelling at 90 km/h, overtakes another 200 m long train travelling at 54 km/h in the same direction. How long does it take?

Q26. Two cyclists start from cities A and B simultaneously towards each other. One goes at 20 km/h and the other at 25 km/h. When they meet, the faster cyclist has covered 25 km more than the slower one. Find the distance between A and B.

Q27. A boat covers 24 km upstream and 36 km downstream in 6 hours each. Find the speed of the current.

Q28. A train travels from A to B. If it travels at 80 km/h it arrives 30 minutes early; if it travels at 60 km/h it arrives 30 minutes late. Find the distance AB.

Q29. Two trains start at the same time from A and B, moving towards each other. When they meet, the first has covered 120 km and the second 80 km. If the first train reaches B in 2 more hours after meeting, how long does the second take to reach A after meeting?

Q30. A person goes to office at 3/4 of his usual speed and reaches 20 minutes late. What is his usual travel time?