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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 418 · 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 ₹140 and sells it for ₹84. What is his loss percent? (a) 45% (b) 40% (c) 56% (d) 35%
  2. 2.What is 20% of 180? (a) 36 (b) 72 (c) 144 (d) 360
  3. 3.A shopkeeper buys a toy for ₹460 and sells it for ₹552. What is his profit percent? (a) 92% (b) 25% (c) 15% (d) 20%
  4. 4.A bag marked ₹1280 is sold at a 40% discount. What is its selling price? (a) ₹512 (b) ₹768 (c) ₹1240 (d) ₹1792
  5. 5.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  6. 6.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 30% (b) 5% (c) 10% (d) 6%
  7. 7.A bag marked ₹580 is sold at a 25% discount. What is its selling price? (a) ₹145 (b) ₹725 (c) ₹435 (d) ₹555
  8. 8.A bag marked ₹200 is sold at a 40% discount. What is its selling price? (a) ₹160 (b) ₹120 (c) ₹80 (d) ₹280
  9. 9.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 14%
  10. 10.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 5% (b) 10% (c) 32% (d) 6%
  11. 11.A shopkeeper buys a toy for ₹240 and sells it for ₹192. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 48%
  12. 12.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  13. 13.What is 40% of 700? (a) 2800 (b) 420 (c) 560 (d) 280
  14. 14.A bag marked ₹1580 is sold at a 20% discount. What is its selling price? (a) ₹1560 (b) ₹1264 (c) ₹316 (d) ₹1896
  15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 24%
  16. 16.A shopkeeper buys a toy for ₹460 and sells it for ₹529. What is his profit percent? (a) 69% (b) 15% (c) 10% (d) 20%
  17. 17.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 10% (b) 5% (c) 8% (d) 6%
  18. 18.What is 60% of 540? (a) 648 (b) 324 (c) 216 (d) 3240
  19. 19.What is 30% of 1000? (a) 700 (b) 600 (c) 300 (d) 3000
  20. 20.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 10% (b) 96% (c) 20% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 10% (b) 15% (c) 94% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 20% (b) 90% (c) 25% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  24. 24.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 57% (b) 15% (c) 20% (d) 10%
  25. 25.A shopkeeper buys a toy for ₹340 and sells it for ₹425. What is his profit percent? (a) 20% (b) 85% (c) 30% (d) 25%
  26. 26.A bag marked ₹820 is sold at a 10% discount. What is its selling price? (a) ₹810 (b) ₹902 (c) ₹82 (d) ₹738
  27. 27.A shopkeeper buys a toy for ₹940 and sells it for ₹1222. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹820 and sells it for ₹943. What is his profit percent? (a) 20% (b) 15% (c) 16% (d) 10%
  29. 29.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹1190 (b) ₹1670 (c) ₹2210 (d) ₹510
  30. 30.A bag marked ₹1020 is sold at a 30% discount. What is its selling price? (a) ₹714 (b) ₹990 (c) ₹1326 (d) ₹306
  31. 31.A bag marked ₹1040 is sold at a 25% discount. What is its selling price? (a) ₹1015 (b) ₹260 (c) ₹1300 (d) ₹780
  32. 32.A shopkeeper buys a toy for ₹880 and sells it for ₹1012. What is his profit percent? (a) 16% (b) 10% (c) 15% (d) 20%
  33. 33.A bag marked ₹420 is sold at a 40% discount. What is its selling price? (a) ₹168 (b) ₹380 (c) ₹252 (d) ₹588
  34. 34.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
  35. 35.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹1428 (b) ₹612 (c) ₹408 (d) ₹980
  36. 36.A bag marked ₹1020 is sold at a 25% discount. What is its selling price? (a) ₹1275 (b) ₹995 (c) ₹765 (d) ₹255
  37. 37.A shopkeeper buys a toy for ₹960 and sells it for ₹1440. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
  38. 38.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 65%
  39. 39.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 6% (b) 46% (c) 10% (d) 5%
  40. 40.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%

Answer key

  1. 40%
  2. 36
  3. 20%
  4. ₹768
  5. 30%
  6. 5%
  7. ₹435
  8. ₹120
  9. 10%
  10. 5%
  11. 20%
  12. 50%
  13. 280
  14. ₹1264
  15. 10%
  16. 15%
  17. 5%
  18. 324
  19. 300
  20. 15%
  21. 10%
  22. 25%
  23. 30%
  24. 15%
  25. 25%
  26. ₹738
  27. 30%
  28. 15%
  29. ₹1190
  30. ₹714
  31. ₹780
  32. 15%
  33. ₹252
  34. 15%
  35. ₹612
  36. ₹765
  37. 50%
  38. 25%
  39. 5%
  40. 25%

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