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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 745 · 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 ₹540 and sells it for ₹432. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
  2. 2.What is 60% of 820? (a) 328 (b) 4920 (c) 984 (d) 492
  3. 3.A bag marked ₹1640 is sold at a 15% discount. What is its selling price? (a) ₹1625 (b) ₹1394 (c) ₹1886 (d) ₹246
  4. 4.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 20% (b) 30% (c) 70% (d) 25%
  5. 5.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 28%
  6. 6.What is 20% of 640? (a) 512 (b) 1280 (c) 256 (d) 128
  7. 7.What is 60% of 680? (a) 4080 (b) 272 (c) 816 (d) 408
  8. 8.What is 25% of 160? (a) 120 (b) 400 (c) 80 (d) 40
  9. 9.What is 30% of 140? (a) 84 (b) 98 (c) 42 (d) 420
  10. 10.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  11. 11.A bag marked ₹700 is sold at a 20% discount. What is its selling price? (a) ₹680 (b) ₹560 (c) ₹140 (d) ₹840
  12. 12.What is 10% of 520? (a) 468 (b) 52 (c) 104 (d) 520
  13. 13.What is 20% of 480? (a) 192 (b) 960 (c) 96 (d) 384
  14. 14.A shopkeeper buys a toy for ₹940 and sells it for ₹1410. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  15. 15.A shopkeeper buys a toy for ₹1000 and sells it for ₹1250. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  16. 16.What is 50% of 520? (a) 520 (b) 260 (c) 261 (d) 2600
  17. 17.A bag marked ₹600 is sold at a 10% discount. What is its selling price? (a) ₹660 (b) ₹590 (c) ₹60 (d) ₹540
  18. 18.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 25% (b) 52% (c) 20% (d) 15%
  19. 19.What is 5% of 60? (a) 3 (b) 30 (c) 6 (d) 57
  20. 20.A shopkeeper buys a toy for ₹240 and sells it for ₹180. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 60%
  21. 21.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 15% (b) 48% (c) 5% (d) 10%
  22. 22.A bag marked ₹1420 is sold at a 30% discount. What is its selling price? (a) ₹1846 (b) ₹1390 (c) ₹994 (d) ₹426
  23. 23.A bag marked ₹1340 is sold at a 30% discount. What is its selling price? (a) ₹402 (b) ₹1742 (c) ₹938 (d) ₹1310
  24. 24.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹84 (b) ₹196 (c) ₹250 (d) ₹364
  25. 25.A bag marked ₹1060 is sold at a 50% discount. What is its selling price? (a) ₹1590 (b) ₹1010 (c) ₹530 (d) ₹531
  26. 26.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 15%
  27. 27.What is 50% of 620? (a) 3100 (b) 310 (c) 620 (d) 311
  28. 28.What is 60% of 860? (a) 344 (b) 5160 (c) 1032 (d) 516
  29. 29.A bag marked ₹1720 is sold at a 50% discount. What is its selling price? (a) ₹1670 (b) ₹861 (c) ₹860 (d) ₹2580
  30. 30.What is 50% of 980? (a) 491 (b) 4900 (c) 980 (d) 490
  31. 31.A shopkeeper buys a toy for ₹620 and sells it for ₹589. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 31%
  32. 32.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 57%
  33. 33.What is 30% of 220? (a) 154 (b) 132 (c) 660 (d) 66
  34. 34.A bag marked ₹2000 is sold at a 50% discount. What is its selling price? (a) ₹3000 (b) ₹1001 (c) ₹1950 (d) ₹1000
  35. 35.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  36. 36.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 25% (b) 35% (c) 90% (d) 30%
  37. 37.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 96%
  38. 38.A shopkeeper buys a toy for ₹740 and sells it for ₹629. What is his loss percent? (a) 16% (b) 20% (c) 15% (d) 10%
  39. 39.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  40. 40.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 25%

Answer key

  1. 20%
  2. 492
  3. ₹1394
  4. 25%
  5. 10%
  6. 128
  7. 408
  8. 40
  9. 42
  10. 50%
  11. ₹560
  12. 52
  13. 96
  14. 50%
  15. 25%
  16. 260
  17. ₹540
  18. 20%
  19. 3
  20. 25%
  21. 10%
  22. ₹994
  23. ₹938
  24. ₹196
  25. ₹530
  26. 5%
  27. 310
  28. 516
  29. ₹860
  30. 490
  31. 5%
  32. 15%
  33. 66
  34. ₹1000
  35. 25%
  36. 30%
  37. 30%
  38. 15%
  39. 40%
  40. 5%

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