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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 410 · 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 ₹1000 and sells it for ₹900. What is his loss percent? (a) 15% (b) 11% (c) 5% (d) 10%
  2. 2.A shopkeeper buys a toy for ₹480 and sells it for ₹552. What is his profit percent? (a) 10% (b) 20% (c) 72% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 28% (b) 5% (c) 10% (d) 6%
  4. 4.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 35% (b) 25% (c) 96% (d) 30%
  5. 5.What is 20% of 420? (a) 168 (b) 336 (c) 84 (d) 840
  6. 6.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  7. 7.A bag marked ₹620 is sold at a 50% discount. What is its selling price? (a) ₹570 (b) ₹930 (c) ₹310 (d) ₹311
  8. 8.What is 5% of 400? (a) 20 (b) 380 (c) 40 (d) 200
  9. 9.What is 5% of 460? (a) 46 (b) 230 (c) 23 (d) 437
  10. 10.A bag marked ₹1140 is sold at a 25% discount. What is its selling price? (a) ₹1425 (b) ₹855 (c) ₹1115 (d) ₹285
  11. 11.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 36% (b) 10% (c) 15% (d) 20%
  12. 12.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 10% (b) 20% (c) 18% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 20%
  14. 14.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 16% (b) 20% (c) 15% (d) 10%
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  16. 16.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 99%
  17. 17.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 50% (b) 25% (c) 20% (d) 30%
  18. 18.What is 50% of 720? (a) 360 (b) 3600 (c) 361 (d) 720
  19. 19.A shopkeeper buys a toy for ₹440 and sells it for ₹352. What is his loss percent? (a) 88% (b) 20% (c) 15% (d) 25%
  20. 20.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 20% (b) 80% (c) 30% (d) 25%
  22. 22.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 20% (b) 30% (c) 40% (d) 25%
  23. 23.What is 75% of 1000? (a) 750 (b) 7500 (c) 1500 (d) 250
  24. 24.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 5% (b) 14% (c) 10% (d) 6%
  25. 25.A bag marked ₹1700 is sold at a 40% discount. What is its selling price? (a) ₹1020 (b) ₹680 (c) ₹2380 (d) ₹1660
  26. 26.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  27. 27.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 15% (b) 72% (c) 25% (d) 20%
  28. 28.A shopkeeper buys a toy for ₹940 and sells it for ₹1081. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
  29. 29.A bag marked ₹1420 is sold at a 15% discount. What is its selling price? (a) ₹213 (b) ₹1207 (c) ₹1405 (d) ₹1633
  30. 30.A bag marked ₹800 is sold at a 10% discount. What is its selling price? (a) ₹880 (b) ₹720 (c) ₹790 (d) ₹80
  31. 31.A bag marked ₹960 is sold at a 20% discount. What is its selling price? (a) ₹192 (b) ₹1152 (c) ₹768 (d) ₹940
  32. 32.A bag marked ₹280 is sold at a 20% discount. What is its selling price? (a) ₹56 (b) ₹260 (c) ₹336 (d) ₹224
  33. 33.What is 10% of 500? (a) 450 (b) 500 (c) 100 (d) 50
  34. 34.A shopkeeper buys a toy for ₹1000 and sells it for ₹950. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 50%
  35. 35.A shopkeeper buys a toy for ₹120 and sells it for ₹168. What is his profit percent? (a) 48% (b) 40% (c) 45% (d) 35%
  36. 36.A shopkeeper buys a toy for ₹400 and sells it for ₹460. What is his profit percent? (a) 20% (b) 15% (c) 60% (d) 10%
  37. 37.A bag marked ₹940 is sold at a 50% discount. What is its selling price? (a) ₹890 (b) ₹1410 (c) ₹471 (d) ₹470
  38. 38.A shopkeeper buys a toy for ₹980 and sells it for ₹686. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  39. 39.What is 30% of 40? (a) 24 (b) 12 (c) 120 (d) 28
  40. 40.A shopkeeper buys a toy for ₹900 and sells it for ₹990. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 90%

Answer key

  1. 10%
  2. 15%
  3. 5%
  4. 30%
  5. 84
  6. 20%
  7. ₹310
  8. 20
  9. 23
  10. ₹855
  11. 15%
  12. 15%
  13. 15%
  14. 15%
  15. 20%
  16. 15%
  17. 25%
  18. 360
  19. 20%
  20. 25%
  21. 25%
  22. 25%
  23. 750
  24. 5%
  25. ₹1020
  26. 40%
  27. 20%
  28. 15%
  29. ₹1207
  30. ₹720
  31. ₹768
  32. ₹224
  33. 50
  34. 5%
  35. 40%
  36. 15%
  37. ₹470
  38. 30%
  39. 12
  40. 10%

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