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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 780 · 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 ₹260 and sells it for ₹195. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 65%
  2. 2.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  3. 3.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 10% (b) 6% (c) 4% (d) 5%
  4. 4.A bag marked ₹1800 is sold at a 20% discount. What is its selling price? (a) ₹360 (b) ₹1780 (c) ₹2160 (d) ₹1440
  5. 5.What is 60% of 860? (a) 344 (b) 5160 (c) 516 (d) 1032
  6. 6.A bag marked ₹1260 is sold at a 15% discount. What is its selling price? (a) ₹1245 (b) ₹1071 (c) ₹189 (d) ₹1449
  7. 7.A bag marked ₹1000 is sold at a 15% discount. What is its selling price? (a) ₹985 (b) ₹850 (c) ₹150 (d) ₹1150
  8. 8.What is 75% of 260? (a) 390 (b) 65 (c) 195 (d) 1950
  9. 9.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
  10. 10.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 16%
  11. 11.What is 50% of 780? (a) 780 (b) 3900 (c) 390 (d) 391
  12. 12.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 10% (b) 15% (c) 18% (d) 5%
  13. 13.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
  14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 35% (b) 48% (c) 25% (d) 30%
  15. 15.A bag marked ₹1800 is sold at a 25% discount. What is its selling price? (a) ₹1350 (b) ₹2250 (c) ₹450 (d) ₹1775
  16. 16.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 34%
  17. 17.A bag marked ₹1640 is sold at a 50% discount. What is its selling price? (a) ₹820 (b) ₹1590 (c) ₹2460 (d) ₹821
  18. 18.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  19. 19.A bag marked ₹1840 is sold at a 20% discount. What is its selling price? (a) ₹2208 (b) ₹1820 (c) ₹1472 (d) ₹368
  20. 20.A bag marked ₹360 is sold at a 50% discount. What is its selling price? (a) ₹540 (b) ₹180 (c) ₹310 (d) ₹181
  21. 21.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 56% (b) 10% (c) 5% (d) 15%
  22. 22.What is 75% of 120? (a) 900 (b) 180 (c) 30 (d) 90
  23. 23.What is 60% of 240? (a) 288 (b) 96 (c) 1440 (d) 144
  24. 24.A bag marked ₹1500 is sold at a 50% discount. What is its selling price? (a) ₹750 (b) ₹2250 (c) ₹1450 (d) ₹751
  25. 25.A bag marked ₹840 is sold at a 15% discount. What is its selling price? (a) ₹714 (b) ₹126 (c) ₹825 (d) ₹966
  26. 26.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 50%
  27. 27.What is 30% of 580? (a) 174 (b) 1740 (c) 348 (d) 406
  28. 28.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  29. 29.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  30. 30.What is 40% of 460? (a) 1840 (b) 184 (c) 368 (d) 276
  31. 31.What is 25% of 740? (a) 555 (b) 370 (c) 1850 (d) 185
  32. 32.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹1410 (b) ₹1278 (c) ₹1562 (d) ₹142
  33. 33.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 30% (b) 35% (c) 36% (d) 25%
  34. 34.A shopkeeper buys a toy for ₹860 and sells it for ₹1075. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
  35. 35.A bag marked ₹680 is sold at a 40% discount. What is its selling price? (a) ₹272 (b) ₹408 (c) ₹640 (d) ₹952
  36. 36.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 27% (b) 10% (c) 6% (d) 5%
  37. 37.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 10% (b) 15% (c) 6% (d) 5%
  38. 38.A shopkeeper buys a toy for ₹760 and sells it for ₹836. What is his profit percent? (a) 76% (b) 10% (c) 15% (d) 5%
  39. 39.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  40. 40.What is 10% of 700? (a) 700 (b) 630 (c) 140 (d) 70

Answer key

  1. 25%
  2. 20%
  3. 5%
  4. ₹1440
  5. 516
  6. ₹1071
  7. ₹850
  8. 195
  9. 20%
  10. 15%
  11. 390
  12. 10%
  13. 20%
  14. 30%
  15. ₹1350
  16. 10%
  17. ₹820
  18. 25%
  19. ₹1472
  20. ₹180
  21. 10%
  22. 90
  23. 144
  24. ₹750
  25. ₹714
  26. 10%
  27. 174
  28. 15%
  29. 50%
  30. 184
  31. 185
  32. ₹1278
  33. 30%
  34. 25%
  35. ₹408
  36. 5%
  37. 5%
  38. 10%
  39. 40%
  40. 70

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