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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 948 · 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 ₹380 and sells it for ₹456. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 76%
  2. 2.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 64% (b) 15% (c) 5% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  4. 4.A shopkeeper buys a toy for ₹880 and sells it for ₹792. What is his loss percent? (a) 88% (b) 5% (c) 15% (d) 10%
  5. 5.A bag marked ₹300 is sold at a 25% discount. What is its selling price? (a) ₹275 (b) ₹75 (c) ₹225 (d) ₹375
  6. 6.A shopkeeper buys a toy for ₹600 and sells it for ₹360. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  7. 7.What is 20% of 380? (a) 304 (b) 760 (c) 76 (d) 152
  8. 8.What is 30% of 800? (a) 2400 (b) 560 (c) 480 (d) 240
  9. 9.A bag marked ₹680 is sold at a 40% discount. What is its selling price? (a) ₹640 (b) ₹272 (c) ₹952 (d) ₹408
  10. 10.A shopkeeper buys a toy for ₹980 and sells it for ₹735. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  11. 11.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  12. 12.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 20% (b) 16% (c) 15% (d) 10%
  13. 13.What is 50% of 420? (a) 211 (b) 210 (c) 2100 (d) 420
  14. 14.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  15. 15.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  16. 16.A bag marked ₹1200 is sold at a 20% discount. What is its selling price? (a) ₹1440 (b) ₹1180 (c) ₹240 (d) ₹960
  17. 17.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 5% (b) 10% (c) 48% (d) 15%
  18. 18.A bag marked ₹580 is sold at a 10% discount. What is its selling price? (a) ₹58 (b) ₹638 (c) ₹522 (d) ₹570
  19. 19.What is 15% of 120? (a) 102 (b) 36 (c) 180 (d) 18
  20. 20.A shopkeeper buys a toy for ₹500 and sells it for ₹600. What is his profit percent? (a) 20% (b) 21% (c) 25% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹240 and sells it for ₹312. What is his profit percent? (a) 35% (b) 72% (c) 25% (d) 30%
  22. 22.What is 20% of 540? (a) 1080 (b) 108 (c) 216 (d) 432
  23. 23.What is 15% of 260? (a) 78 (b) 39 (c) 390 (d) 221
  24. 24.A bag marked ₹1840 is sold at a 40% discount. What is its selling price? (a) ₹1800 (b) ₹1104 (c) ₹736 (d) ₹2576
  25. 25.A bag marked ₹820 is sold at a 25% discount. What is its selling price? (a) ₹1025 (b) ₹615 (c) ₹795 (d) ₹205
  26. 26.What is 50% of 220? (a) 111 (b) 220 (c) 110 (d) 1100
  27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹1104. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  28. 28.What is 50% of 620? (a) 3100 (b) 311 (c) 620 (d) 310
  29. 29.A shopkeeper buys a toy for ₹420 and sells it for ₹483. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 63%
  30. 30.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 10% (b) 20% (c) 24% (d) 15%
  31. 31.What is 5% of 260? (a) 247 (b) 130 (c) 13 (d) 26
  32. 32.A bag marked ₹960 is sold at a 10% discount. What is its selling price? (a) ₹96 (b) ₹950 (c) ₹864 (d) ₹1056
  33. 33.A bag marked ₹1540 is sold at a 40% discount. What is its selling price? (a) ₹924 (b) ₹2156 (c) ₹616 (d) ₹1500
  34. 34.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 34%
  35. 35.A bag marked ₹1180 is sold at a 50% discount. What is its selling price? (a) ₹1130 (b) ₹591 (c) ₹1770 (d) ₹590
  36. 36.A shopkeeper buys a toy for ₹280 and sells it for ₹392. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
  37. 37.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  38. 38.A shopkeeper buys a toy for ₹420 and sells it for ₹357. What is his loss percent? (a) 63% (b) 10% (c) 15% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 66%
  40. 40.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 24% (b) 6% (c) 5% (d) 10%

Answer key

  1. 20%
  2. 10%
  3. 40%
  4. 10%
  5. ₹225
  6. 40%
  7. 76
  8. 240
  9. ₹408
  10. 25%
  11. 40%
  12. 15%
  13. 210
  14. 50%
  15. 40%
  16. ₹960
  17. 10%
  18. ₹522
  19. 18
  20. 20%
  21. 30%
  22. 108
  23. 39
  24. ₹1104
  25. ₹615
  26. 110
  27. 20%
  28. 310
  29. 15%
  30. 15%
  31. 13
  32. ₹864
  33. ₹924
  34. 10%
  35. ₹590
  36. 40%
  37. 40%
  38. 15%
  39. 10%
  40. 5%

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