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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 533 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A bag marked ₹1620 is sold at a 50% discount. What is its selling price? (a) ₹2430 (b) ₹1570 (c) ₹810 (d) ₹811
  2. 2.A bag marked ₹340 is sold at a 20% discount. What is its selling price? (a) ₹320 (b) ₹272 (c) ₹408 (d) ₹68
  3. 3.What is 30% of 420? (a) 294 (b) 1260 (c) 252 (d) 126
  4. 4.What is 60% of 580? (a) 3480 (b) 348 (c) 696 (d) 232
  5. 5.A shopkeeper buys a toy for ₹360 and sells it for ₹414. What is his profit percent? (a) 54% (b) 20% (c) 10% (d) 15%
  6. 6.A bag marked ₹2000 is sold at a 30% discount. What is its selling price? (a) ₹1970 (b) ₹600 (c) ₹1400 (d) ₹2600
  7. 7.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  8. 8.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 35% (b) 41% (c) 40% (d) 45%
  9. 9.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 88% (b) 5% (c) 15% (d) 10%
  10. 10.What is 5% of 520? (a) 494 (b) 260 (c) 52 (d) 26
  11. 11.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 6% (b) 10% (c) 16% (d) 5%
  12. 12.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  13. 13.A shopkeeper buys a toy for ₹140 and sells it for ₹154. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 14%
  14. 14.A shopkeeper buys a toy for ₹800 and sells it for ₹640. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  15. 15.A shopkeeper buys a toy for ₹520 and sells it for ₹572. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 52%
  16. 16.What is 20% of 320? (a) 64 (b) 640 (c) 256 (d) 128
  17. 17.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 14% (b) 5% (c) 10% (d) 6%
  18. 18.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹265 (b) ₹238 (c) ₹42 (d) ₹322
  19. 19.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
  20. 20.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 18% (b) 5% (c) 15% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 29%
  22. 22.A shopkeeper buys a toy for ₹740 and sells it for ₹629. What is his loss percent? (a) 15% (b) 16% (c) 10% (d) 20%
  23. 23.What is 5% of 340? (a) 323 (b) 170 (c) 34 (d) 17
  24. 24.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 30% (b) 75% (c) 20% (d) 25%
  25. 25.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 48%
  26. 26.A bag marked ₹560 is sold at a 15% discount. What is its selling price? (a) ₹476 (b) ₹84 (c) ₹644 (d) ₹545
  27. 27.A bag marked ₹1800 is sold at a 25% discount. What is its selling price? (a) ₹2250 (b) ₹450 (c) ₹1350 (d) ₹1775
  28. 28.What is 75% of 160? (a) 240 (b) 40 (c) 1200 (d) 120
  29. 29.What is 50% of 80? (a) 400 (b) 80 (c) 41 (d) 40
  30. 30.A bag marked ₹640 is sold at a 40% discount. What is its selling price? (a) ₹256 (b) ₹896 (c) ₹600 (d) ₹384
  31. 31.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  32. 32.What is 20% of 800? (a) 640 (b) 320 (c) 1600 (d) 160
  33. 33.A shopkeeper buys a toy for ₹240 and sells it for ₹312. What is his profit percent? (a) 35% (b) 30% (c) 72% (d) 25%
  34. 34.What is 30% of 520? (a) 312 (b) 156 (c) 1560 (d) 364
  35. 35.What is 15% of 860? (a) 731 (b) 1290 (c) 258 (d) 129
  36. 36.A shopkeeper buys a toy for ₹900 and sells it for ₹1350. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  37. 37.A bag marked ₹1400 is sold at a 10% discount. What is its selling price? (a) ₹140 (b) ₹1390 (c) ₹1260 (d) ₹1540
  38. 38.A shopkeeper buys a toy for ₹960 and sells it for ₹1248. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
  39. 39.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 75%
  40. 40.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%

Answer key

  1. ₹810
  2. ₹272
  3. 126
  4. 348
  5. 15%
  6. ₹1400
  7. 40%
  8. 40%
  9. 10%
  10. 26
  11. 5%
  12. 30%
  13. 10%
  14. 20%
  15. 10%
  16. 64
  17. 5%
  18. ₹238
  19. 20%
  20. 10%
  21. 5%
  22. 15%
  23. 17
  24. 25%
  25. 40%
  26. ₹476
  27. ₹1350
  28. 120
  29. 40
  30. ₹384
  31. 30%
  32. 160
  33. 30%
  34. 156
  35. 129
  36. 50%
  37. ₹1260
  38. 30%
  39. 15%
  40. 40%

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