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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 733 · 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 shopkeeper buys a toy for ₹760 and sells it for ₹532. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  2. 2.A bag marked ₹840 is sold at a 50% discount. What is its selling price? (a) ₹420 (b) ₹790 (c) ₹1260 (d) ₹421
  3. 3.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 78%
  4. 4.A bag marked ₹660 is sold at a 15% discount. What is its selling price? (a) ₹561 (b) ₹99 (c) ₹645 (d) ₹759
  5. 5.A shopkeeper buys a toy for ₹720 and sells it for ₹828. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 16%
  6. 6.A bag marked ₹1040 is sold at a 15% discount. What is its selling price? (a) ₹1196 (b) ₹1025 (c) ₹156 (d) ₹884
  7. 7.What is 15% of 980? (a) 833 (b) 1470 (c) 147 (d) 294
  8. 8.A bag marked ₹380 is sold at a 25% discount. What is its selling price? (a) ₹95 (b) ₹285 (c) ₹355 (d) ₹475
  9. 9.A shopkeeper buys a toy for ₹980 and sells it for ₹1127. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  10. 10.A bag marked ₹240 is sold at a 15% discount. What is its selling price? (a) ₹225 (b) ₹36 (c) ₹204 (d) ₹276
  11. 11.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 5%
  13. 13.A shopkeeper buys a toy for ₹720 and sells it for ₹432. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  14. 14.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  15. 15.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 10% (b) 5% (c) 34% (d) 15%
  16. 16.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹800 (b) ₹200 (c) ₹980 (d) ₹1200
  17. 17.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  18. 18.A bag marked ₹440 is sold at a 50% discount. What is its selling price? (a) ₹220 (b) ₹221 (c) ₹390 (d) ₹660
  19. 19.A bag marked ₹1860 is sold at a 40% discount. What is its selling price? (a) ₹2604 (b) ₹744 (c) ₹1820 (d) ₹1116
  20. 20.A bag marked ₹1260 is sold at a 20% discount. What is its selling price? (a) ₹252 (b) ₹1008 (c) ₹1240 (d) ₹1512
  21. 21.A shopkeeper buys a toy for ₹960 and sells it for ₹1248. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  22. 22.What is 75% of 560? (a) 4200 (b) 420 (c) 840 (d) 140
  23. 23.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
  24. 24.A bag marked ₹900 is sold at a 30% discount. What is its selling price? (a) ₹870 (b) ₹270 (c) ₹1170 (d) ₹630
  25. 25.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 15% (b) 10% (c) 68% (d) 5%
  26. 26.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 60% (b) 35% (c) 25% (d) 30%
  27. 27.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 21% (b) 20% (c) 15% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  29. 29.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%
  30. 30.What is 25% of 260? (a) 195 (b) 650 (c) 65 (d) 130
  31. 31.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 15% (b) 42% (c) 10% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 16% (b) 20% (c) 15% (d) 10%
  33. 33.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 6% (b) 46% (c) 5% (d) 10%
  34. 34.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 43% (b) 6% (c) 5% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  36. 36.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 32% (b) 15% (c) 5% (d) 10%
  37. 37.A bag marked ₹1800 is sold at a 40% discount. What is its selling price? (a) ₹1760 (b) ₹720 (c) ₹1080 (d) ₹2520
  38. 38.A shopkeeper buys a toy for ₹980 and sells it for ₹1225. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%
  39. 39.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  40. 40.What is 50% of 60? (a) 300 (b) 60 (c) 30 (d) 31

Answer key

  1. 30%
  2. ₹420
  3. 10%
  4. ₹561
  5. 15%
  6. ₹884
  7. 147
  8. ₹285
  9. 15%
  10. ₹204
  11. 40%
  12. 10%
  13. 40%
  14. 25%
  15. 10%
  16. ₹800
  17. 40%
  18. ₹220
  19. ₹1116
  20. ₹1008
  21. 30%
  22. 420
  23. 15%
  24. ₹630
  25. 10%
  26. 30%
  27. 20%
  28. 30%
  29. 10%
  30. 65
  31. 15%
  32. 15%
  33. 5%
  34. 5%
  35. 50%
  36. 10%
  37. ₹1080
  38. 25%
  39. 40%
  40. 30

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