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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 71 · 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 20% discount. What is its selling price? (a) ₹324 (b) ₹1600 (c) ₹1296 (d) ₹1944
  2. 2.A shopkeeper buys a toy for ₹400 and sells it for ₹340. What is his loss percent? (a) 20% (b) 60% (c) 15% (d) 10%
  3. 3.A bag marked ₹460 is sold at a 25% discount. What is its selling price? (a) ₹575 (b) ₹345 (c) ₹435 (d) ₹115
  4. 4.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  5. 5.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹380 and sells it for ₹304. What is his loss percent? (a) 15% (b) 20% (c) 76% (d) 25%
  7. 7.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 75% (b) 25% (c) 20% (d) 30%
  8. 8.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 20% (b) 33% (c) 10% (d) 15%
  9. 9.A shopkeeper buys a toy for ₹320 and sells it for ₹368. What is his profit percent? (a) 48% (b) 10% (c) 15% (d) 20%
  10. 10.A bag marked ₹940 is sold at a 10% discount. What is its selling price? (a) ₹1034 (b) ₹94 (c) ₹930 (d) ₹846
  11. 11.A bag marked ₹620 is sold at a 40% discount. What is its selling price? (a) ₹868 (b) ₹372 (c) ₹580 (d) ₹248
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹160. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 40%
  13. 13.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  14. 14.A shopkeeper buys a toy for ₹620 and sells it for ₹496. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 10% (b) 78% (c) 5% (d) 15%
  16. 16.A bag marked ₹800 is sold at a 30% discount. What is its selling price? (a) ₹1040 (b) ₹770 (c) ₹240 (d) ₹560
  17. 17.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  18. 18.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 20% (b) 95% (c) 30% (d) 25%
  19. 19.A shopkeeper buys a toy for ₹960 and sells it for ₹1008. What is his profit percent? (a) 10% (b) 5% (c) 48% (d) 6%
  20. 20.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 15% (b) 20% (c) 24% (d) 25%
  21. 21.A bag marked ₹1360 is sold at a 15% discount. What is its selling price? (a) ₹1564 (b) ₹1156 (c) ₹204 (d) ₹1345
  22. 22.What is 60% of 980? (a) 392 (b) 588 (c) 1176 (d) 5880
  23. 23.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 10% (b) 9% (c) 6% (d) 5%
  24. 24.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 68% (b) 20% (c) 15% (d) 25%
  25. 25.A shopkeeper buys a toy for ₹880 and sells it for ₹748. What is his loss percent? (a) 16% (b) 15% (c) 20% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 30%
  27. 27.A bag marked ₹900 is sold at a 25% discount. What is its selling price? (a) ₹1125 (b) ₹225 (c) ₹875 (d) ₹675
  28. 28.A shopkeeper buys a toy for ₹580 and sells it for ₹725. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 26%
  29. 29.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 45% (b) 40% (c) 41% (d) 35%
  30. 30.A bag marked ₹1100 is sold at a 20% discount. What is its selling price? (a) ₹1320 (b) ₹220 (c) ₹1080 (d) ₹880
  31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹777. What is his profit percent? (a) 10% (b) 37% (c) 5% (d) 6%
  32. 32.What is 10% of 160? (a) 144 (b) 16 (c) 32 (d) 160
  33. 33.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 12% (b) 5% (c) 6% (d) 10%
  34. 34.A bag marked ₹1040 is sold at a 40% discount. What is its selling price? (a) ₹624 (b) ₹1000 (c) ₹416 (d) ₹1456
  35. 35.What is 5% of 620? (a) 589 (b) 31 (c) 310 (d) 62
  36. 36.A shopkeeper buys a toy for ₹920 and sells it for ₹690. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
  37. 37.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹322 (b) ₹430 (c) ₹138 (d) ₹598
  38. 38.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 25% (b) 26% (c) 30% (d) 20%
  39. 39.A bag marked ₹1400 is sold at a 20% discount. What is its selling price? (a) ₹1680 (b) ₹1120 (c) ₹280 (d) ₹1380
  40. 40.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%

Answer key

  1. ₹1296
  2. 15%
  3. ₹345
  4. 25%
  5. 20%
  6. 20%
  7. 25%
  8. 15%
  9. 15%
  10. ₹846
  11. ₹372
  12. 20%
  13. 50%
  14. 20%
  15. 10%
  16. ₹560
  17. 30%
  18. 25%
  19. 5%
  20. 20%
  21. ₹1156
  22. 588
  23. 5%
  24. 20%
  25. 15%
  26. 10%
  27. ₹675
  28. 25%
  29. 40%
  30. ₹880
  31. 5%
  32. 16
  33. 5%
  34. ₹624
  35. 31
  36. 25%
  37. ₹322
  38. 25%
  39. ₹1120
  40. 40%

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