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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 344 · 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 bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹230 (b) ₹231 (c) ₹690 (d) ₹410
  2. 2.What is 5% of 360? (a) 36 (b) 342 (c) 180 (d) 18
  3. 3.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
  4. 4.What is 40% of 780? (a) 3120 (b) 312 (c) 468 (d) 624
  5. 5.What is 20% of 700? (a) 1400 (b) 560 (c) 280 (d) 140
  6. 6.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 6%
  7. 7.What is 40% of 640? (a) 2560 (b) 384 (c) 256 (d) 512
  8. 8.A shopkeeper buys a toy for ₹160 and sells it for ₹96. What is his loss percent? (a) 64% (b) 45% (c) 35% (d) 40%
  9. 9.What is 15% of 120? (a) 18 (b) 102 (c) 180 (d) 36
  10. 10.What is 40% of 420? (a) 1680 (b) 336 (c) 168 (d) 252
  11. 11.What is 10% of 640? (a) 64 (b) 128 (c) 640 (d) 576
  12. 12.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹2310 (b) ₹770 (c) ₹1490 (d) ₹771
  13. 13.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 11%
  14. 14.What is 40% of 760? (a) 304 (b) 3040 (c) 608 (d) 456
  15. 15.A bag marked ₹1540 is sold at a 40% discount. What is its selling price? (a) ₹1500 (b) ₹616 (c) ₹2156 (d) ₹924
  16. 16.A shopkeeper buys a toy for ₹800 and sells it for ₹1200. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  17. 17.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 33% (b) 15% (c) 20% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 5% (b) 10% (c) 22% (d) 6%
  19. 19.A bag marked ₹1440 is sold at a 50% discount. What is its selling price? (a) ₹721 (b) ₹1390 (c) ₹720 (d) ₹2160
  20. 20.A shopkeeper buys a toy for ₹800 and sells it for ₹840. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 40%
  21. 21.A bag marked ₹1380 is sold at a 20% discount. What is its selling price? (a) ₹276 (b) ₹1360 (c) ₹1656 (d) ₹1104
  22. 22.What is 5% of 320? (a) 16 (b) 32 (c) 160 (d) 304
  23. 23.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 15% (b) 5% (c) 46% (d) 10%
  24. 24.What is 10% of 500? (a) 100 (b) 450 (c) 500 (d) 50
  25. 25.A bag marked ₹560 is sold at a 20% discount. What is its selling price? (a) ₹540 (b) ₹448 (c) ₹672 (d) ₹112
  26. 26.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  27. 27.A bag marked ₹760 is sold at a 10% discount. What is its selling price? (a) ₹684 (b) ₹750 (c) ₹836 (d) ₹76
  28. 28.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 14%
  29. 29.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
  30. 30.What is 25% of 500? (a) 1250 (b) 375 (c) 250 (d) 125
  31. 31.What is 20% of 680? (a) 1360 (b) 272 (c) 544 (d) 136
  32. 32.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 15% (b) 28% (c) 25% (d) 20%
  33. 33.A bag marked ₹1080 is sold at a 40% discount. What is its selling price? (a) ₹1512 (b) ₹648 (c) ₹1040 (d) ₹432
  34. 34.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 27%
  35. 35.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 13% (b) 5% (c) 10% (d) 6%
  36. 36.What is 10% of 680? (a) 612 (b) 136 (c) 68 (d) 680
  37. 37.What is 60% of 80? (a) 480 (b) 32 (c) 48 (d) 96
  38. 38.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 10% (b) 82% (c) 15% (d) 5%
  39. 39.What is 10% of 760? (a) 684 (b) 152 (c) 760 (d) 76
  40. 40.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%

Answer key

  1. ₹230
  2. 18
  3. 40%
  4. 312
  5. 140
  6. 5%
  7. 256
  8. 40%
  9. 18
  10. 168
  11. 64
  12. ₹770
  13. 10%
  14. 304
  15. ₹924
  16. 50%
  17. 15%
  18. 5%
  19. ₹720
  20. 5%
  21. ₹1104
  22. 16
  23. 10%
  24. 50
  25. ₹448
  26. 40%
  27. ₹684
  28. 10%
  29. 15%
  30. 125
  31. 136
  32. 20%
  33. ₹648
  34. 5%
  35. 5%
  36. 68
  37. 48
  38. 10%
  39. 76
  40. 15%

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