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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 291 · 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 ₹420 and sells it for ₹315. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  2. 2.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%
  3. 3.What is 75% of 660? (a) 990 (b) 4950 (c) 165 (d) 495
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹126. What is his profit percent? (a) 10% (b) 6% (c) 4% (d) 5%
  5. 5.A bag marked ₹1200 is sold at a 15% discount. What is its selling price? (a) ₹1020 (b) ₹180 (c) ₹1380 (d) ₹1185
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹731. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
  7. 7.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 15% (b) 16% (c) 20% (d) 10%
  8. 8.A bag marked ₹980 is sold at a 50% discount. What is its selling price? (a) ₹490 (b) ₹930 (c) ₹1470 (d) ₹491
  9. 9.A bag marked ₹760 is sold at a 30% discount. What is its selling price? (a) ₹730 (b) ₹532 (c) ₹228 (d) ₹988
  10. 10.What is 30% of 420? (a) 252 (b) 294 (c) 126 (d) 1260
  11. 11.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 5% (b) 42% (c) 6% (d) 10%
  12. 12.What is 50% of 500? (a) 250 (b) 251 (c) 500 (d) 2500
  13. 13.A bag marked ₹1260 is sold at a 40% discount. What is its selling price? (a) ₹756 (b) ₹1220 (c) ₹1764 (d) ₹504
  14. 14.A shopkeeper buys a toy for ₹180 and sells it for ₹126. What is his loss percent? (a) 25% (b) 54% (c) 30% (d) 35%
  15. 15.A bag marked ₹380 is sold at a 15% discount. What is its selling price? (a) ₹437 (b) ₹365 (c) ₹57 (d) ₹323
  16. 16.What is 40% of 140? (a) 112 (b) 56 (c) 560 (d) 84
  17. 17.What is 20% of 460? (a) 368 (b) 92 (c) 920 (d) 184
  18. 18.A shopkeeper buys a toy for ₹260 and sells it for ₹195. What is his loss percent? (a) 65% (b) 20% (c) 30% (d) 25%
  19. 19.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 16%
  20. 20.A shopkeeper buys a toy for ₹560 and sells it for ₹392. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹640 and sells it for ₹704. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 64%
  22. 22.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 57%
  24. 24.What is 25% of 160? (a) 80 (b) 120 (c) 40 (d) 400
  25. 25.What is 20% of 600? (a) 240 (b) 480 (c) 120 (d) 1200
  26. 26.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 35% (b) 25% (c) 90% (d) 30%
  27. 27.A bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹675 (b) ₹515 (c) ₹135 (d) ₹405
  28. 28.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
  29. 29.A bag marked ₹1100 is sold at a 40% discount. What is its selling price? (a) ₹660 (b) ₹1540 (c) ₹1060 (d) ₹440
  30. 30.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 5% (b) 15% (c) 11% (d) 10%
  31. 31.A bag marked ₹1220 is sold at a 40% discount. What is its selling price? (a) ₹488 (b) ₹1180 (c) ₹732 (d) ₹1708
  32. 32.A bag marked ₹720 is sold at a 50% discount. What is its selling price? (a) ₹670 (b) ₹360 (c) ₹1080 (d) ₹361
  33. 33.What is 15% of 840? (a) 126 (b) 714 (c) 1260 (d) 252
  34. 34.A bag marked ₹1840 is sold at a 15% discount. What is its selling price? (a) ₹1564 (b) ₹2116 (c) ₹1825 (d) ₹276
  35. 35.What is 75% of 800? (a) 200 (b) 1200 (c) 6000 (d) 600
  36. 36.A shopkeeper buys a toy for ₹640 and sells it for ₹448. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  37. 37.A shopkeeper buys a toy for ₹360 and sells it for ₹342. What is his loss percent? (a) 10% (b) 18% (c) 5% (d) 6%
  38. 38.What is 10% of 760? (a) 76 (b) 684 (c) 760 (d) 152
  39. 39.A bag marked ₹1520 is sold at a 20% discount. What is its selling price? (a) ₹1824 (b) ₹1216 (c) ₹1500 (d) ₹304
  40. 40.What is 15% of 820? (a) 246 (b) 1230 (c) 123 (d) 697

Answer key

  1. 25%
  2. 40%
  3. 495
  4. 5%
  5. ₹1020
  6. 15%
  7. 15%
  8. ₹490
  9. ₹532
  10. 126
  11. 5%
  12. 250
  13. ₹756
  14. 30%
  15. ₹323
  16. 56
  17. 92
  18. 25%
  19. 15%
  20. 30%
  21. 10%
  22. 30%
  23. 15%
  24. 40
  25. 120
  26. 30%
  27. ₹405
  28. 30%
  29. ₹660
  30. 10%
  31. ₹732
  32. ₹360
  33. 126
  34. ₹1564
  35. 600
  36. 30%
  37. 5%
  38. 76
  39. ₹1216
  40. 123

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