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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 630 · 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 ₹760 and sells it for ₹684. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 76%
  2. 2.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 78%
  3. 3.A shopkeeper buys a toy for ₹800 and sells it for ₹880. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 80%
  4. 4.A shopkeeper buys a toy for ₹560 and sells it for ₹448. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  5. 5.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 40%
  6. 6.A shopkeeper buys a toy for ₹520 and sells it for ₹598. What is his profit percent? (a) 20% (b) 78% (c) 10% (d) 15%
  7. 7.What is 50% of 280? (a) 141 (b) 1400 (c) 280 (d) 140
  8. 8.A bag marked ₹1440 is sold at a 30% discount. What is its selling price? (a) ₹1410 (b) ₹432 (c) ₹1872 (d) ₹1008
  9. 9.A bag marked ₹580 is sold at a 50% discount. What is its selling price? (a) ₹291 (b) ₹290 (c) ₹870 (d) ₹530
  10. 10.A bag marked ₹1840 is sold at a 40% discount. What is its selling price? (a) ₹1800 (b) ₹736 (c) ₹2576 (d) ₹1104
  11. 11.What is 15% of 700? (a) 595 (b) 1050 (c) 210 (d) 105
  12. 12.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 10% (b) 5% (c) 23% (d) 6%
  13. 13.A bag marked ₹1860 is sold at a 40% discount. What is its selling price? (a) ₹1116 (b) ₹1820 (c) ₹744 (d) ₹2604
  14. 14.A bag marked ₹1300 is sold at a 30% discount. What is its selling price? (a) ₹1690 (b) ₹1270 (c) ₹390 (d) ₹910
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹900. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  16. 16.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 20% (b) 10% (c) 16% (d) 15%
  17. 17.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 26%
  18. 18.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 65% (b) 30% (c) 20% (d) 25%
  19. 19.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 10% (b) 5% (c) 92% (d) 15%
  20. 20.A bag marked ₹1360 is sold at a 15% discount. What is its selling price? (a) ₹1564 (b) ₹1156 (c) ₹1345 (d) ₹204
  21. 21.What is 60% of 100? (a) 60 (b) 40 (c) 600 (d) 120
  22. 22.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  23. 23.What is 30% of 680? (a) 476 (b) 204 (c) 2040 (d) 408
  24. 24.What is 75% of 140? (a) 1050 (b) 35 (c) 210 (d) 105
  25. 25.A shopkeeper buys a toy for ₹520 and sells it for ₹624. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 15% (b) 72% (c) 25% (d) 20%
  27. 27.What is 75% of 120? (a) 90 (b) 30 (c) 180 (d) 900
  28. 28.What is 25% of 540? (a) 405 (b) 1350 (c) 135 (d) 270
  29. 29.A bag marked ₹1020 is sold at a 50% discount. What is its selling price? (a) ₹1530 (b) ₹511 (c) ₹970 (d) ₹510
  30. 30.A shopkeeper buys a toy for ₹660 and sells it for ₹858. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  31. 31.What is 50% of 920? (a) 920 (b) 4600 (c) 460 (d) 461
  32. 32.What is 60% of 800? (a) 320 (b) 480 (c) 4800 (d) 960
  33. 33.A shopkeeper buys a toy for ₹720 and sells it for ₹684. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 36%
  34. 34.What is 25% of 780? (a) 195 (b) 390 (c) 1950 (d) 585
  35. 35.What is 15% of 460? (a) 138 (b) 69 (c) 690 (d) 391
  36. 36.What is 20% of 920? (a) 736 (b) 368 (c) 184 (d) 1840
  37. 37.What is 30% of 560? (a) 336 (b) 392 (c) 168 (d) 1680
  38. 38.A bag marked ₹1640 is sold at a 30% discount. What is its selling price? (a) ₹1610 (b) ₹1148 (c) ₹2132 (d) ₹492
  39. 39.What is 60% of 820? (a) 328 (b) 984 (c) 4920 (d) 492
  40. 40.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 10% (b) 15% (c) 54% (d) 5%

Answer key

  1. 10%
  2. 10%
  3. 10%
  4. 20%
  5. 20%
  6. 15%
  7. 140
  8. ₹1008
  9. ₹290
  10. ₹1104
  11. 105
  12. 5%
  13. ₹1116
  14. ₹910
  15. 50%
  16. 15%
  17. 25%
  18. 25%
  19. 10%
  20. ₹1156
  21. 60
  22. 25%
  23. 204
  24. 105
  25. 20%
  26. 20%
  27. 90
  28. 135
  29. ₹510
  30. 30%
  31. 460
  32. 480
  33. 5%
  34. 195
  35. 69
  36. 184
  37. 168
  38. ₹1148
  39. 492
  40. 10%

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