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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 985 · 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 bag marked ₹720 is sold at a 50% discount. What is its selling price? (a) ₹1080 (b) ₹670 (c) ₹361 (d) ₹360
  2. 2.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 20% (b) 54% (c) 10% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹900 and sells it for ₹1080. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 24%
  5. 5.A shopkeeper buys a toy for ₹840 and sells it for ₹966. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 16%
  6. 6.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  7. 7.What is 60% of 520? (a) 3120 (b) 624 (c) 208 (d) 312
  8. 8.A shopkeeper buys a toy for ₹960 and sells it for ₹1200. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  9. 9.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 15% (b) 38% (c) 10% (d) 5%
  10. 10.A bag marked ₹1820 is sold at a 10% discount. What is its selling price? (a) ₹2002 (b) ₹1810 (c) ₹1638 (d) ₹182
  11. 11.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹84 (b) ₹504 (c) ₹336 (d) ₹400
  12. 12.A bag marked ₹1160 is sold at a 10% discount. What is its selling price? (a) ₹116 (b) ₹1044 (c) ₹1276 (d) ₹1150
  13. 13.A bag marked ₹1880 is sold at a 10% discount. What is its selling price? (a) ₹1692 (b) ₹1870 (c) ₹2068 (d) ₹188
  14. 14.A bag marked ₹1500 is sold at a 20% discount. What is its selling price? (a) ₹1480 (b) ₹1800 (c) ₹1200 (d) ₹300
  15. 15.A bag marked ₹1020 is sold at a 15% discount. What is its selling price? (a) ₹153 (b) ₹1173 (c) ₹867 (d) ₹1005
  16. 16.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  17. 17.What is 60% of 580? (a) 3480 (b) 232 (c) 348 (d) 696
  18. 18.What is 75% of 480? (a) 120 (b) 360 (c) 720 (d) 3600
  19. 19.A bag marked ₹1860 is sold at a 15% discount. What is its selling price? (a) ₹1845 (b) ₹279 (c) ₹2139 (d) ₹1581
  20. 20.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 6% (b) 16% (c) 10% (d) 5%
  21. 21.A bag marked ₹780 is sold at a 40% discount. What is its selling price? (a) ₹1092 (b) ₹740 (c) ₹468 (d) ₹312
  22. 22.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 10% (b) 5% (c) 50% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 5% (b) 88% (c) 15% (d) 10%
  24. 24.A bag marked ₹520 is sold at a 20% discount. What is its selling price? (a) ₹624 (b) ₹416 (c) ₹500 (d) ₹104
  25. 25.What is 10% of 280? (a) 28 (b) 252 (c) 56 (d) 280
  26. 26.A shopkeeper buys a toy for ₹360 and sells it for ₹432. What is his profit percent? (a) 72% (b) 15% (c) 20% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹380 and sells it for ₹285. What is his loss percent? (a) 30% (b) 25% (c) 95% (d) 20%
  28. 28.A shopkeeper buys a toy for ₹220 and sells it for ₹242. What is his profit percent? (a) 15% (b) 22% (c) 5% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹400 and sells it for ₹300. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  30. 30.A bag marked ₹400 is sold at a 40% discount. What is its selling price? (a) ₹560 (b) ₹360 (c) ₹240 (d) ₹160
  31. 31.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 5% (b) 10% (c) 56% (d) 15%
  32. 32.What is 10% of 880? (a) 792 (b) 880 (c) 88 (d) 176
  33. 33.A shopkeeper buys a toy for ₹980 and sells it for ₹1470. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  34. 34.What is 15% of 400? (a) 600 (b) 340 (c) 120 (d) 60
  35. 35.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 25% (b) 20% (c) 26% (d) 30%
  36. 36.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 5% (c) 15% (d) 10%
  38. 38.What is 10% of 140? (a) 28 (b) 140 (c) 14 (d) 126
  39. 39.What is 10% of 460? (a) 92 (b) 414 (c) 460 (d) 46
  40. 40.A shopkeeper buys a toy for ₹620 and sells it for ₹434. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%

Answer key

  1. ₹360
  2. 15%
  3. 20%
  4. 20%
  5. 15%
  6. 25%
  7. 312
  8. 25%
  9. 10%
  10. ₹1638
  11. ₹336
  12. ₹1044
  13. ₹1692
  14. ₹1200
  15. ₹867
  16. 20%
  17. 348
  18. 360
  19. ₹1581
  20. 5%
  21. ₹468
  22. 10%
  23. 10%
  24. ₹416
  25. 28
  26. 20%
  27. 25%
  28. 10%
  29. 25%
  30. ₹240
  31. 10%
  32. 88
  33. 50%
  34. 60
  35. 25%
  36. 15%
  37. 10%
  38. 14
  39. 46
  40. 30%

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