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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 950 · 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 ₹480 and sells it for ₹408. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 72%
  2. 2.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 40%
  4. 4.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  5. 5.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  6. 6.A shopkeeper buys a toy for ₹420 and sells it for ₹252. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  8. 8.What is 20% of 40? (a) 16 (b) 32 (c) 8 (d) 80
  9. 9.A bag marked ₹1460 is sold at a 40% discount. What is its selling price? (a) ₹2044 (b) ₹876 (c) ₹584 (d) ₹1420
  10. 10.A bag marked ₹640 is sold at a 50% discount. What is its selling price? (a) ₹320 (b) ₹590 (c) ₹960 (d) ₹321
  11. 11.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  12. 12.A shopkeeper buys a toy for ₹140 and sells it for ₹154. What is his profit percent? (a) 10% (b) 5% (c) 14% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
  14. 14.What is 75% of 540? (a) 405 (b) 4050 (c) 135 (d) 810
  15. 15.A bag marked ₹1900 is sold at a 20% discount. What is its selling price? (a) ₹1520 (b) ₹1880 (c) ₹2280 (d) ₹380
  16. 16.A shopkeeper buys a toy for ₹940 and sells it for ₹1410. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  17. 17.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  18. 18.A bag marked ₹300 is sold at a 50% discount. What is its selling price? (a) ₹250 (b) ₹150 (c) ₹450 (d) ₹151
  19. 19.A shopkeeper buys a toy for ₹420 and sells it for ₹441. What is his profit percent? (a) 10% (b) 21% (c) 6% (d) 5%
  20. 20.What is 25% of 460? (a) 345 (b) 230 (c) 115 (d) 1150
  21. 21.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 6% (b) 10% (c) 4% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 18% (b) 15% (c) 5% (d) 10%
  23. 23.What is 15% of 960? (a) 144 (b) 816 (c) 288 (d) 1440
  24. 24.A shopkeeper buys a toy for ₹780 and sells it for ₹819. What is his profit percent? (a) 6% (b) 39% (c) 10% (d) 5%
  25. 25.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 5% (b) 42% (c) 15% (d) 10%
  26. 26.A bag marked ₹880 is sold at a 25% discount. What is its selling price? (a) ₹660 (b) ₹220 (c) ₹855 (d) ₹1100
  27. 27.A bag marked ₹440 is sold at a 30% discount. What is its selling price? (a) ₹308 (b) ₹410 (c) ₹132 (d) ₹572
  28. 28.A shopkeeper buys a toy for ₹220 and sells it for ₹308. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 88%
  29. 29.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%
  30. 30.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
  31. 31.A bag marked ₹1860 is sold at a 10% discount. What is its selling price? (a) ₹1850 (b) ₹186 (c) ₹2046 (d) ₹1674
  32. 32.What is 20% of 520? (a) 208 (b) 1040 (c) 104 (d) 416
  33. 33.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  34. 34.A bag marked ₹1400 is sold at a 30% discount. What is its selling price? (a) ₹1370 (b) ₹1820 (c) ₹980 (d) ₹420
  35. 35.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 64%
  36. 36.What is 25% of 360? (a) 900 (b) 180 (c) 90 (d) 270
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 39% (b) 15% (c) 20% (d) 10%
  38. 38.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 24%
  39. 39.A bag marked ₹900 is sold at a 50% discount. What is its selling price? (a) ₹850 (b) ₹1350 (c) ₹451 (d) ₹450
  40. 40.What is 50% of 760? (a) 380 (b) 381 (c) 760 (d) 3800

Answer key

  1. 15%
  2. 20%
  3. 5%
  4. 40%
  5. 40%
  6. 40%
  7. 20%
  8. 8
  9. ₹876
  10. ₹320
  11. 20%
  12. 10%
  13. 15%
  14. 405
  15. ₹1520
  16. 50%
  17. 50%
  18. ₹150
  19. 5%
  20. 115
  21. 5%
  22. 10%
  23. 144
  24. 5%
  25. 10%
  26. ₹660
  27. ₹308
  28. 40%
  29. 25%
  30. 25%
  31. ₹1674
  32. 104
  33. 40%
  34. ₹980
  35. 20%
  36. 90
  37. 15%
  38. 15%
  39. ₹450
  40. 380

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