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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 511 · 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 ₹240 and sells it for ₹228. What is his loss percent? (a) 6% (b) 10% (c) 12% (d) 5%
  2. 2.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹1490 (b) ₹770 (c) ₹771 (d) ₹2310
  3. 3.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 39%
  4. 4.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 15% (b) 10% (c) 42% (d) 5%
  5. 5.A shopkeeper buys a toy for ₹440 and sells it for ₹506. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 66%
  6. 6.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 15% (b) 68% (c) 25% (d) 20%
  7. 7.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  8. 8.A bag marked ₹240 is sold at a 40% discount. What is its selling price? (a) ₹200 (b) ₹96 (c) ₹336 (d) ₹144
  9. 9.A shopkeeper buys a toy for ₹500 and sells it for ₹300. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  10. 10.What is 15% of 1000? (a) 150 (b) 300 (c) 1500 (d) 850
  11. 11.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  12. 12.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  13. 13.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 10% (b) 46% (c) 6% (d) 5%
  14. 14.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  15. 15.A shopkeeper buys a toy for ₹840 and sells it for ₹504. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
  16. 16.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 6% (b) 10% (c) 23% (d) 5%
  17. 17.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 10% (b) 24% (c) 20% (d) 15%
  18. 18.A bag marked ₹880 is sold at a 15% discount. What is its selling price? (a) ₹748 (b) ₹865 (c) ₹1012 (d) ₹132
  19. 19.A bag marked ₹980 is sold at a 30% discount. What is its selling price? (a) ₹294 (b) ₹950 (c) ₹686 (d) ₹1274
  20. 20.What is 30% of 400? (a) 1200 (b) 280 (c) 240 (d) 120
  21. 21.What is 40% of 400? (a) 1600 (b) 240 (c) 320 (d) 160
  22. 22.What is 25% of 980? (a) 2450 (b) 490 (c) 735 (d) 245
  23. 23.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 5% (b) 15% (c) 30% (d) 10%
  24. 24.A shopkeeper buys a toy for ₹840 and sells it for ₹1260. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  25. 25.A bag marked ₹220 is sold at a 25% discount. What is its selling price? (a) ₹165 (b) ₹195 (c) ₹55 (d) ₹275
  26. 26.What is 15% of 420? (a) 357 (b) 126 (c) 630 (d) 63
  27. 27.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 15% (b) 5% (c) 16% (d) 10%
  28. 28.What is 75% of 180? (a) 1350 (b) 45 (c) 270 (d) 135
  29. 29.What is 15% of 760? (a) 646 (b) 114 (c) 228 (d) 1140
  30. 30.What is 40% of 80? (a) 48 (b) 32 (c) 320 (d) 64
  31. 31.A bag marked ₹1560 is sold at a 20% discount. What is its selling price? (a) ₹1872 (b) ₹1540 (c) ₹312 (d) ₹1248
  32. 32.A shopkeeper buys a toy for ₹680 and sells it for ₹544. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%
  33. 33.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 20% (b) 50% (c) 25% (d) 30%
  34. 34.What is 15% of 520? (a) 156 (b) 780 (c) 442 (d) 78
  35. 35.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  36. 36.What is 5% of 60? (a) 30 (b) 6 (c) 3 (d) 57
  37. 37.What is 75% of 580? (a) 435 (b) 145 (c) 4350 (d) 870
  38. 38.A bag marked ₹1500 is sold at a 20% discount. What is its selling price? (a) ₹1200 (b) ₹1800 (c) ₹300 (d) ₹1480
  39. 39.A shopkeeper buys a toy for ₹400 and sells it for ₹300. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹640 and sells it for ₹960. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%

Answer key

  1. 5%
  2. ₹770
  3. 5%
  4. 10%
  5. 15%
  6. 20%
  7. 30%
  8. ₹144
  9. 40%
  10. 150
  11. 50%
  12. 30%
  13. 5%
  14. 50%
  15. 40%
  16. 5%
  17. 15%
  18. ₹748
  19. ₹686
  20. 120
  21. 160
  22. 245
  23. 10%
  24. 50%
  25. ₹165
  26. 63
  27. 10%
  28. 135
  29. 114
  30. 32
  31. ₹1248
  32. 20%
  33. 25%
  34. 78
  35. 40%
  36. 3
  37. 435
  38. ₹1200
  39. 25%
  40. 50%

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