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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 960 · 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 ₹780 and sells it for ₹741. What is his loss percent? (a) 5% (b) 6% (c) 39% (d) 10%
  2. 2.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  3. 3.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  4. 4.A bag marked ₹280 is sold at a 10% discount. What is its selling price? (a) ₹308 (b) ₹270 (c) ₹28 (d) ₹252
  5. 5.A shopkeeper buys a toy for ₹780 and sells it for ₹624. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
  6. 6.A bag marked ₹260 is sold at a 10% discount. What is its selling price? (a) ₹234 (b) ₹286 (c) ₹26 (d) ₹250
  7. 7.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 15% (b) 10% (c) 88% (d) 5%
  8. 8.What is 20% of 500? (a) 400 (b) 100 (c) 200 (d) 1000
  9. 9.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  10. 10.A bag marked ₹1280 is sold at a 50% discount. What is its selling price? (a) ₹640 (b) ₹1920 (c) ₹641 (d) ₹1230
  11. 11.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 10% (b) 92% (c) 5% (d) 15%
  12. 12.A bag marked ₹1060 is sold at a 25% discount. What is its selling price? (a) ₹1035 (b) ₹265 (c) ₹795 (d) ₹1325
  13. 13.What is 25% of 460? (a) 115 (b) 1150 (c) 345 (d) 230
  14. 14.What is 10% of 820? (a) 820 (b) 82 (c) 164 (d) 738
  15. 15.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 11% (b) 10% (c) 15% (d) 5%
  16. 16.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
  17. 17.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹800 (b) ₹200 (c) ₹980 (d) ₹1200
  18. 18.What is 25% of 60? (a) 15 (b) 150 (c) 30 (d) 45
  19. 19.What is 20% of 220? (a) 176 (b) 44 (c) 88 (d) 440
  20. 20.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 16%
  21. 21.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 45% (b) 25% (c) 20% (d) 30%
  22. 22.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 42% (b) 10% (c) 20% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 18%
  24. 24.What is 60% of 60? (a) 24 (b) 72 (c) 36 (d) 360
  25. 25.What is 60% of 440? (a) 2640 (b) 176 (c) 264 (d) 528
  26. 26.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹731 (b) ₹845 (c) ₹989 (d) ₹129
  27. 27.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 90% (b) 15% (c) 20% (d) 10%
  28. 28.What is 75% of 160? (a) 1200 (b) 40 (c) 240 (d) 120
  29. 29.What is 50% of 800? (a) 4000 (b) 400 (c) 401 (d) 800
  30. 30.A bag marked ₹1480 is sold at a 50% discount. What is its selling price? (a) ₹1430 (b) ₹740 (c) ₹741 (d) ₹2220
  31. 31.A bag marked ₹1100 is sold at a 40% discount. What is its selling price? (a) ₹1540 (b) ₹1060 (c) ₹660 (d) ₹440
  32. 32.What is 20% of 40? (a) 32 (b) 80 (c) 16 (d) 8
  33. 33.A shopkeeper buys a toy for ₹580 and sells it for ₹493. What is his loss percent? (a) 87% (b) 10% (c) 20% (d) 15%
  34. 34.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
  35. 35.What is 25% of 120? (a) 300 (b) 90 (c) 30 (d) 60
  36. 36.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 26% (b) 15% (c) 10% (d) 5%
  37. 37.What is 5% of 160? (a) 16 (b) 8 (c) 80 (d) 152
  38. 38.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 35% (b) 31% (c) 30% (d) 25%
  39. 39.A bag marked ₹860 is sold at a 20% discount. What is its selling price? (a) ₹840 (b) ₹172 (c) ₹1032 (d) ₹688
  40. 40.A bag marked ₹1040 is sold at a 20% discount. What is its selling price? (a) ₹1248 (b) ₹1020 (c) ₹208 (d) ₹832

Answer key

  1. 5%
  2. 20%
  3. 40%
  4. ₹252
  5. 20%
  6. ₹234
  7. 10%
  8. 100
  9. 20%
  10. ₹640
  11. 10%
  12. ₹795
  13. 115
  14. 82
  15. 10%
  16. 50%
  17. ₹800
  18. 15
  19. 44
  20. 15%
  21. 25%
  22. 15%
  23. 15%
  24. 36
  25. 264
  26. ₹731
  27. 15%
  28. 120
  29. 400
  30. ₹740
  31. ₹660
  32. 8
  33. 15%
  34. 15%
  35. 30
  36. 10%
  37. 8
  38. 30%
  39. ₹688
  40. ₹832

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