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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 753 · 40 questions
TalentJR

How to solve it (Always out of the cost): p% of N = N × p ÷ 100. Profit = selling price − cost price; profit % = profit ÷ cost price × 100 (loss works the same way). Discount = p% of the marked price; selling price = marked price − discount.

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  1. 1.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 5% (b) 6% (c) 26% (d) 10%
  2. 2.A bag marked ₹320 is sold at a 30% discount. What is its selling price? (a) ₹416 (b) ₹224 (c) ₹290 (d) ₹96
  3. 3.A shopkeeper buys a toy for ₹960 and sells it for ₹1440. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  4. 4.A shopkeeper buys a toy for ₹720 and sells it for ₹504. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  5. 5.A shopkeeper buys a toy for ₹440 and sells it for ₹484. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 44%
  6. 6.A bag marked ₹1880 is sold at a 30% discount. What is its selling price? (a) ₹2444 (b) ₹1850 (c) ₹564 (d) ₹1316
  7. 7.What is 15% of 700? (a) 210 (b) 595 (c) 1050 (d) 105
  8. 8.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 15% (b) 28% (c) 10% (d) 5%
  9. 9.A bag marked ₹1100 is sold at a 10% discount. What is its selling price? (a) ₹990 (b) ₹1090 (c) ₹1210 (d) ₹110
  10. 10.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
  11. 11.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  12. 12.What is 75% of 580? (a) 145 (b) 435 (c) 4350 (d) 870
  13. 13.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 40% (b) 48% (c) 35% (d) 45%
  14. 14.What is 20% of 960? (a) 768 (b) 1920 (c) 384 (d) 192
  15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 6% (b) 10% (c) 12% (d) 5%
  16. 16.What is 15% of 960? (a) 1440 (b) 816 (c) 288 (d) 144
  17. 17.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 5% (b) 15% (c) 26% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  19. 19.A bag marked ₹960 is sold at a 10% discount. What is its selling price? (a) ₹1056 (b) ₹96 (c) ₹950 (d) ₹864
  20. 20.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 5% (b) 9% (c) 6% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  22. 22.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹250 (b) ₹50 (c) ₹150 (d) ₹175
  23. 23.A bag marked ₹1280 is sold at a 10% discount. What is its selling price? (a) ₹1270 (b) ₹1408 (c) ₹1152 (d) ₹128
  24. 24.What is 5% of 180? (a) 9 (b) 171 (c) 18 (d) 90
  25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 66%
  26. 26.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 93% (b) 15% (c) 20% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  28. 28.A shopkeeper buys a toy for ₹500 and sells it for ₹700. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  29. 29.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 20% (b) 15% (c) 39% (d) 10%
  30. 30.A bag marked ₹820 is sold at a 20% discount. What is its selling price? (a) ₹164 (b) ₹800 (c) ₹984 (d) ₹656
  31. 31.What is 25% of 200? (a) 500 (b) 100 (c) 50 (d) 150
  32. 32.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 10% (b) 66% (c) 20% (d) 15%
  33. 33.What is 25% of 40? (a) 100 (b) 30 (c) 10 (d) 20
  34. 34.What is 30% of 500? (a) 300 (b) 1500 (c) 150 (d) 350
  35. 35.A shopkeeper buys a toy for ₹100 and sells it for ₹110. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 11%
  36. 36.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  37. 37.What is 25% of 60? (a) 45 (b) 15 (c) 30 (d) 150
  38. 38.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 23%
  39. 39.What is 25% of 880? (a) 660 (b) 220 (c) 440 (d) 2200
  40. 40.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 6% (b) 13% (c) 10% (d) 5%

Answer key

  1. 5%
  2. ₹224
  3. 50%
  4. 30%
  5. 10%
  6. ₹1316
  7. 105
  8. 10%
  9. ₹990
  10. 30%
  11. 30%
  12. 435
  13. 40%
  14. 192
  15. 5%
  16. 144
  17. 10%
  18. 20%
  19. ₹864
  20. 5%
  21. 25%
  22. ₹150
  23. ₹1152
  24. 9
  25. 10%
  26. 15%
  27. 25%
  28. 40%
  29. 15%
  30. ₹656
  31. 50
  32. 15%
  33. 10
  34. 150
  35. 10%
  36. 40%
  37. 15
  38. 5%
  39. 220
  40. 5%

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