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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 760 · 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 ₹100 and sells it for ₹95. What is his loss percent? (a) 4% (b) 6% (c) 10% (d) 5%
  2. 2.What is 75% of 80? (a) 120 (b) 60 (c) 20 (d) 600
  3. 3.What is 30% of 340? (a) 204 (b) 102 (c) 1020 (d) 238
  4. 4.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 10% (b) 5% (c) 7% (d) 6%
  5. 5.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 6% (b) 38% (c) 10% (d) 5%
  6. 6.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  7. 7.What is 15% of 840? (a) 252 (b) 714 (c) 1260 (d) 126
  8. 8.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 15% (b) 16% (c) 20% (d) 10%
  9. 9.What is 40% of 380? (a) 1520 (b) 304 (c) 228 (d) 152
  10. 10.A shopkeeper buys a toy for ₹620 and sells it for ₹589. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 31%
  11. 11.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 15% (b) 58% (c) 5% (d) 10%
  12. 12.What is 10% of 480? (a) 432 (b) 480 (c) 48 (d) 96
  13. 13.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 6% (b) 5% (c) 24% (d) 10%
  14. 14.What is 60% of 300? (a) 1800 (b) 120 (c) 360 (d) 180
  15. 15.What is 30% of 720? (a) 2160 (b) 432 (c) 216 (d) 504
  16. 16.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 20% (b) 16% (c) 10% (d) 15%
  17. 17.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
  18. 18.What is 60% of 960? (a) 5760 (b) 384 (c) 1152 (d) 576
  19. 19.A bag marked ₹560 is sold at a 20% discount. What is its selling price? (a) ₹112 (b) ₹540 (c) ₹448 (d) ₹672
  20. 20.A shopkeeper buys a toy for ₹220 and sells it for ₹308. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 88%
  21. 21.A shopkeeper buys a toy for ₹500 and sells it for ₹525. What is his profit percent? (a) 25% (b) 5% (c) 6% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 39% (b) 10% (c) 6% (d) 5%
  23. 23.What is 5% of 180? (a) 18 (b) 171 (c) 9 (d) 90
  24. 24.A bag marked ₹400 is sold at a 50% discount. What is its selling price? (a) ₹200 (b) ₹600 (c) ₹350 (d) ₹201
  25. 25.What is 50% of 520? (a) 260 (b) 2600 (c) 261 (d) 520
  26. 26.A bag marked ₹460 is sold at a 40% discount. What is its selling price? (a) ₹276 (b) ₹184 (c) ₹644 (d) ₹420
  27. 27.A shopkeeper buys a toy for ₹580 and sells it for ₹493. What is his loss percent? (a) 10% (b) 20% (c) 87% (d) 15%
  28. 28.What is 5% of 540? (a) 27 (b) 54 (c) 270 (d) 513
  29. 29.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 68%
  30. 30.A shopkeeper buys a toy for ₹880 and sells it for ₹704. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹629. What is his loss percent? (a) 15% (b) 10% (c) 16% (d) 20%
  32. 32.What is 50% of 160? (a) 160 (b) 80 (c) 800 (d) 81
  33. 33.A shopkeeper buys a toy for ₹240 and sells it for ₹276. What is his profit percent? (a) 36% (b) 10% (c) 20% (d) 15%
  34. 34.A shopkeeper buys a toy for ₹600 and sells it for ₹420. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  35. 35.A shopkeeper buys a toy for ₹120 and sells it for ₹168. What is his profit percent? (a) 35% (b) 48% (c) 45% (d) 40%
  36. 36.A bag marked ₹780 is sold at a 50% discount. What is its selling price? (a) ₹730 (b) ₹390 (c) ₹1170 (d) ₹391
  37. 37.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 25% (b) 70% (c) 20% (d) 30%
  38. 38.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 25% (b) 15% (c) 80% (d) 20%
  40. 40.A bag marked ₹1020 is sold at a 10% discount. What is its selling price? (a) ₹102 (b) ₹1122 (c) ₹1010 (d) ₹918

Answer key

  1. 5%
  2. 60
  3. 102
  4. 5%
  5. 5%
  6. 40%
  7. 126
  8. 15%
  9. 152
  10. 5%
  11. 10%
  12. 48
  13. 5%
  14. 180
  15. 216
  16. 15%
  17. 20%
  18. 576
  19. ₹448
  20. 40%
  21. 5%
  22. 5%
  23. 9
  24. ₹200
  25. 260
  26. ₹276
  27. 15%
  28. 27
  29. 20%
  30. 20%
  31. 15%
  32. 80
  33. 15%
  34. 30%
  35. 40%
  36. ₹390
  37. 25%
  38. 25%
  39. 20%
  40. ₹918

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