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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 584 · 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 ₹220 and sells it for ₹187. What is his loss percent? (a) 33% (b) 10% (c) 20% (d) 15%
  2. 2.What is 60% of 960? (a) 5760 (b) 1152 (c) 384 (d) 576
  3. 3.A bag marked ₹340 is sold at a 15% discount. What is its selling price? (a) ₹289 (b) ₹51 (c) ₹391 (d) ₹325
  4. 4.What is 15% of 540? (a) 162 (b) 81 (c) 810 (d) 459
  5. 5.A bag marked ₹560 is sold at a 15% discount. What is its selling price? (a) ₹644 (b) ₹545 (c) ₹84 (d) ₹476
  6. 6.A shopkeeper buys a toy for ₹980 and sells it for ₹882. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 98%
  7. 7.A bag marked ₹1460 is sold at a 30% discount. What is its selling price? (a) ₹1898 (b) ₹1022 (c) ₹438 (d) ₹1430
  8. 8.A bag marked ₹1660 is sold at a 40% discount. What is its selling price? (a) ₹1620 (b) ₹2324 (c) ₹664 (d) ₹996
  9. 9.A shopkeeper buys a toy for ₹620 and sells it for ₹465. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  10. 10.A shopkeeper buys a toy for ₹840 and sells it for ₹1260. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  11. 11.What is 10% of 640? (a) 64 (b) 128 (c) 576 (d) 640
  12. 12.A bag marked ₹360 is sold at a 20% discount. What is its selling price? (a) ₹340 (b) ₹432 (c) ₹288 (d) ₹72
  13. 13.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 15% (b) 21% (c) 20% (d) 25%
  14. 14.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹690 (b) ₹1150 (c) ₹895 (d) ₹230
  15. 15.A bag marked ₹1600 is sold at a 15% discount. What is its selling price? (a) ₹1585 (b) ₹240 (c) ₹1840 (d) ₹1360
  16. 16.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 8%
  17. 17.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  18. 18.A shopkeeper buys a toy for ₹520 and sells it for ₹442. What is his loss percent? (a) 78% (b) 20% (c) 15% (d) 10%
  19. 19.A shopkeeper buys a toy for ₹380 and sells it for ₹285. What is his loss percent? (a) 95% (b) 25% (c) 20% (d) 30%
  20. 20.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 40% (b) 45% (c) 88% (d) 35%
  21. 21.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 32% (b) 15% (c) 5% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 24% (b) 5% (c) 10% (d) 6%
  23. 23.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 30% (b) 25% (c) 36% (d) 35%
  24. 24.What is 15% of 140? (a) 119 (b) 42 (c) 21 (d) 210
  25. 25.What is 20% of 720? (a) 576 (b) 288 (c) 1440 (d) 144
  26. 26.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 5% (b) 10% (c) 54% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 9%
  28. 28.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 25% (b) 21% (c) 15% (d) 20%
  29. 29.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 15% (b) 72% (c) 20% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  31. 31.A shopkeeper buys a toy for ₹340 and sells it for ₹357. What is his profit percent? (a) 5% (b) 10% (c) 17% (d) 6%
  32. 32.A bag marked ₹1360 is sold at a 20% discount. What is its selling price? (a) ₹1088 (b) ₹1632 (c) ₹1340 (d) ₹272
  33. 33.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  34. 34.A shopkeeper buys a toy for ₹640 and sells it for ₹704. What is his profit percent? (a) 64% (b) 15% (c) 10% (d) 5%
  35. 35.A bag marked ₹240 is sold at a 30% discount. What is its selling price? (a) ₹210 (b) ₹312 (c) ₹168 (d) ₹72
  36. 36.What is 15% of 700? (a) 1050 (b) 210 (c) 105 (d) 595
  37. 37.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  38. 38.A bag marked ₹980 is sold at a 10% discount. What is its selling price? (a) ₹1078 (b) ₹970 (c) ₹98 (d) ₹882
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 72%
  40. 40.What is 40% of 160? (a) 640 (b) 96 (c) 128 (d) 64

Answer key

  1. 15%
  2. 576
  3. ₹289
  4. 81
  5. ₹476
  6. 10%
  7. ₹1022
  8. ₹996
  9. 25%
  10. 50%
  11. 64
  12. ₹288
  13. 20%
  14. ₹690
  15. ₹1360
  16. 5%
  17. 25%
  18. 15%
  19. 25%
  20. 40%
  21. 10%
  22. 5%
  23. 30%
  24. 21
  25. 144
  26. 10%
  27. 5%
  28. 20%
  29. 20%
  30. 20%
  31. 5%
  32. ₹1088
  33. 30%
  34. 10%
  35. ₹168
  36. 105
  37. 50%
  38. ₹882
  39. 40%
  40. 64

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