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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 298 · 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 ₹560 and sells it for ₹420. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  2. 2.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  3. 3.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 12%
  4. 4.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹1705 (b) ₹1978 (c) ₹1462 (d) ₹258
  5. 5.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 10% (b) 15% (c) 42% (d) 20%
  6. 6.A shopkeeper buys a toy for ₹980 and sells it for ₹686. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  7. 7.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 21%
  8. 8.A bag marked ₹1660 is sold at a 30% discount. What is its selling price? (a) ₹2158 (b) ₹1162 (c) ₹1630 (d) ₹498
  9. 9.What is 15% of 240? (a) 204 (b) 36 (c) 360 (d) 72
  10. 10.A shopkeeper buys a toy for ₹360 and sells it for ₹324. What is his loss percent? (a) 15% (b) 36% (c) 10% (d) 5%
  11. 11.What is 5% of 380? (a) 190 (b) 19 (c) 38 (d) 361
  12. 12.A bag marked ₹940 is sold at a 20% discount. What is its selling price? (a) ₹188 (b) ₹1128 (c) ₹752 (d) ₹920
  13. 13.A bag marked ₹1660 is sold at a 25% discount. What is its selling price? (a) ₹2075 (b) ₹415 (c) ₹1635 (d) ₹1245
  14. 14.A shopkeeper buys a toy for ₹300 and sells it for ₹420. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
  15. 15.A bag marked ₹1240 is sold at a 30% discount. What is its selling price? (a) ₹868 (b) ₹1612 (c) ₹372 (d) ₹1210
  16. 16.What is 5% of 160? (a) 16 (b) 152 (c) 8 (d) 80
  17. 17.A shopkeeper buys a toy for ₹400 and sells it for ₹600. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  18. 18.What is 40% of 640? (a) 256 (b) 2560 (c) 384 (d) 512
  19. 19.A bag marked ₹680 is sold at a 25% discount. What is its selling price? (a) ₹170 (b) ₹510 (c) ₹850 (d) ₹655
  20. 20.A shopkeeper buys a toy for ₹760 and sells it for ₹988. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  21. 21.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  22. 22.A shopkeeper buys a toy for ₹360 and sells it for ₹270. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 90%
  23. 23.What is 40% of 440? (a) 352 (b) 176 (c) 1760 (d) 264
  24. 24.What is 75% of 660? (a) 495 (b) 990 (c) 165 (d) 4950
  25. 25.A bag marked ₹1600 is sold at a 40% discount. What is its selling price? (a) ₹1560 (b) ₹640 (c) ₹2240 (d) ₹960
  26. 26.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  27. 27.A shopkeeper buys a toy for ₹620 and sells it for ₹651. What is his profit percent? (a) 31% (b) 6% (c) 10% (d) 5%
  28. 28.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 6% (b) 10% (c) 24% (d) 5%
  29. 29.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹390 (b) ₹210 (c) ₹130 (d) ₹131
  30. 30.What is 75% of 520? (a) 780 (b) 130 (c) 390 (d) 3900
  31. 31.A shopkeeper buys a toy for ₹280 and sells it for ₹392. What is his profit percent? (a) 35% (b) 41% (c) 40% (d) 45%
  32. 32.A shopkeeper buys a toy for ₹460 and sells it for ₹322. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  33. 33.What is 60% of 960? (a) 384 (b) 1152 (c) 5760 (d) 576
  34. 34.What is 30% of 580? (a) 406 (b) 174 (c) 348 (d) 1740
  35. 35.What is 60% of 160? (a) 64 (b) 192 (c) 96 (d) 960
  36. 36.What is 30% of 360? (a) 1080 (b) 108 (c) 216 (d) 252
  37. 37.A bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹410 (b) ₹230 (c) ₹690 (d) ₹231
  38. 38.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 15% (b) 16% (c) 10% (d) 20%
  39. 39.What is 30% of 460? (a) 276 (b) 322 (c) 138 (d) 1380
  40. 40.What is 60% of 620? (a) 3720 (b) 372 (c) 248 (d) 744

Answer key

  1. 25%
  2. 25%
  3. 5%
  4. ₹1462
  5. 15%
  6. 30%
  7. 15%
  8. ₹1162
  9. 36
  10. 10%
  11. 19
  12. ₹752
  13. ₹1245
  14. 40%
  15. ₹868
  16. 8
  17. 50%
  18. 256
  19. ₹510
  20. 30%
  21. 30%
  22. 25%
  23. 176
  24. 495
  25. ₹960
  26. 25%
  27. 5%
  28. 5%
  29. ₹130
  30. 390
  31. 40%
  32. 30%
  33. 576
  34. 174
  35. 96
  36. 108
  37. ₹230
  38. 15%
  39. 138
  40. 372

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