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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 708 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A bag marked ₹1580 is sold at a 30% discount. What is its selling price? (a) ₹1106 (b) ₹1550 (c) ₹474 (d) ₹2054
  2. 2.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 10% (b) 15% (c) 34% (d) 5%
  3. 3.A shopkeeper buys a toy for ₹900 and sells it for ₹1170. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  4. 4.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 81%
  5. 5.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 21% (b) 25% (c) 20% (d) 15%
  6. 6.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  7. 7.What is 50% of 400? (a) 201 (b) 400 (c) 2000 (d) 200
  8. 8.A bag marked ₹640 is sold at a 30% discount. What is its selling price? (a) ₹192 (b) ₹610 (c) ₹448 (d) ₹832
  9. 9.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 10% (b) 20% (c) 33% (d) 15%
  10. 10.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 10% (b) 15% (c) 6% (d) 5%
  11. 11.What is 40% of 620? (a) 372 (b) 496 (c) 248 (d) 2480
  12. 12.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 20% (b) 60% (c) 25% (d) 15%
  13. 13.What is 75% of 760? (a) 570 (b) 190 (c) 5700 (d) 1140
  14. 14.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  15. 15.A shopkeeper buys a toy for ₹740 and sells it for ₹962. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹220 and sells it for ₹264. What is his profit percent? (a) 15% (b) 20% (c) 44% (d) 25%
  17. 17.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 5% (b) 11% (c) 6% (d) 10%
  18. 18.What is 40% of 280? (a) 224 (b) 1120 (c) 112 (d) 168
  19. 19.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  20. 20.What is 5% of 980? (a) 490 (b) 931 (c) 98 (d) 49
  21. 21.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  22. 22.What is 25% of 880? (a) 220 (b) 2200 (c) 660 (d) 440
  23. 23.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
  24. 24.A bag marked ₹1040 is sold at a 10% discount. What is its selling price? (a) ₹104 (b) ₹1030 (c) ₹936 (d) ₹1144
  25. 25.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 35% (b) 36% (c) 30% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 15% (b) 5% (c) 11% (d) 10%
  28. 28.What is 25% of 220? (a) 110 (b) 55 (c) 165 (d) 550
  29. 29.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 20% (b) 15% (c) 60% (d) 25%
  30. 30.What is 20% of 620? (a) 1240 (b) 124 (c) 248 (d) 496
  31. 31.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  32. 32.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  33. 33.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  34. 34.What is 75% of 360? (a) 90 (b) 270 (c) 2700 (d) 540
  35. 35.A shopkeeper buys a toy for ₹660 and sells it for ₹759. What is his profit percent? (a) 10% (b) 99% (c) 20% (d) 15%
  36. 36.A shopkeeper buys a toy for ₹500 and sells it for ₹350. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  37. 37.A bag marked ₹700 is sold at a 15% discount. What is its selling price? (a) ₹595 (b) ₹105 (c) ₹805 (d) ₹685
  38. 38.What is 15% of 980? (a) 1470 (b) 294 (c) 833 (d) 147
  39. 39.A shopkeeper buys a toy for ₹140 and sells it for ₹154. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 14%
  40. 40.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 28%

Answer key

  1. ₹1106
  2. 10%
  3. 30%
  4. 15%
  5. 20%
  6. 20%
  7. 200
  8. ₹448
  9. 15%
  10. 5%
  11. 248
  12. 20%
  13. 570
  14. 50%
  15. 30%
  16. 20%
  17. 5%
  18. 112
  19. 30%
  20. 49
  21. 30%
  22. 220
  23. 40%
  24. ₹936
  25. 15%
  26. 30%
  27. 10%
  28. 55
  29. 20%
  30. 124
  31. 30%
  32. 40%
  33. 30%
  34. 270
  35. 15%
  36. 30%
  37. ₹595
  38. 147
  39. 10%
  40. 5%

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