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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 876 · 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 ₹960 and sells it for ₹1248. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  2. 2.What is 60% of 720? (a) 4320 (b) 864 (c) 288 (d) 432
  3. 3.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 68%
  4. 4.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 18% (b) 15% (c) 10% (d) 5%
  5. 5.What is 40% of 720? (a) 432 (b) 576 (c) 288 (d) 2880
  6. 6.What is 25% of 340? (a) 85 (b) 850 (c) 255 (d) 170
  7. 7.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 20% (b) 27% (c) 15% (d) 10%
  8. 8.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 10% (b) 15% (c) 66% (d) 20%
  9. 9.A bag marked ₹900 is sold at a 25% discount. What is its selling price? (a) ₹875 (b) ₹675 (c) ₹1125 (d) ₹225
  10. 10.What is 60% of 220? (a) 132 (b) 264 (c) 88 (d) 1320
  11. 11.What is 10% of 40? (a) 40 (b) 8 (c) 4 (d) 36
  12. 12.A shopkeeper buys a toy for ₹520 and sells it for ₹598. What is his profit percent? (a) 78% (b) 15% (c) 20% (d) 10%
  13. 13.What is 10% of 720? (a) 72 (b) 720 (c) 648 (d) 144
  14. 14.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  15. 15.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  16. 16.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  17. 17.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 15% (b) 56% (c) 25% (d) 20%
  18. 18.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  19. 19.A bag marked ₹900 is sold at a 15% discount. What is its selling price? (a) ₹885 (b) ₹135 (c) ₹1035 (d) ₹765
  20. 20.A bag marked ₹1460 is sold at a 15% discount. What is its selling price? (a) ₹1241 (b) ₹1445 (c) ₹219 (d) ₹1679
  21. 21.A shopkeeper buys a toy for ₹880 and sells it for ₹616. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 31%
  22. 22.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 80% (b) 25% (c) 20% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  24. 24.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 10% (b) 54% (c) 20% (d) 15%
  25. 25.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  26. 26.A shopkeeper buys a toy for ₹800 and sells it for ₹560. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
  27. 27.A bag marked ₹1380 is sold at a 30% discount. What is its selling price? (a) ₹1794 (b) ₹414 (c) ₹1350 (d) ₹966
  28. 28.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 96%
  29. 29.What is 30% of 40? (a) 120 (b) 12 (c) 28 (d) 24
  30. 30.What is 20% of 40? (a) 32 (b) 16 (c) 8 (d) 80
  31. 31.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  32. 32.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%
  33. 33.What is 15% of 80? (a) 68 (b) 12 (c) 120 (d) 24
  34. 34.A bag marked ₹300 is sold at a 30% discount. What is its selling price? (a) ₹390 (b) ₹210 (c) ₹270 (d) ₹90
  35. 35.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 6% (b) 10% (c) 23% (d) 5%
  36. 36.A shopkeeper buys a toy for ₹680 and sells it for ₹544. What is his loss percent? (a) 21% (b) 20% (c) 15% (d) 25%
  37. 37.What is 5% of 400? (a) 380 (b) 40 (c) 20 (d) 200
  38. 38.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 10% (b) 47% (c) 6% (d) 5%
  40. 40.What is 5% of 80? (a) 76 (b) 4 (c) 40 (d) 8

Answer key

  1. 30%
  2. 432
  3. 10%
  4. 10%
  5. 288
  6. 85
  7. 15%
  8. 15%
  9. ₹675
  10. 132
  11. 4
  12. 15%
  13. 72
  14. 50%
  15. 25%
  16. 40%
  17. 20%
  18. 40%
  19. ₹765
  20. ₹1241
  21. 30%
  22. 25%
  23. 20%
  24. 15%
  25. 50%
  26. 30%
  27. ₹966
  28. 40%
  29. 12
  30. 8
  31. 50%
  32. 20%
  33. 12
  34. ₹210
  35. 5%
  36. 20%
  37. 20
  38. 25%
  39. 5%
  40. 4

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