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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 375 · 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 bag marked ₹820 is sold at a 50% discount. What is its selling price? (a) ₹770 (b) ₹1230 (c) ₹410 (d) ₹411
  2. 2.What is 75% of 800? (a) 600 (b) 1200 (c) 200 (d) 6000
  3. 3.What is 20% of 380? (a) 76 (b) 152 (c) 760 (d) 304
  4. 4.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 10% (b) 15% (c) 76% (d) 5%
  5. 5.What is 60% of 760? (a) 912 (b) 4560 (c) 304 (d) 456
  6. 6.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  7. 7.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 25% (b) 21% (c) 20% (d) 15%
  8. 8.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 39%
  9. 9.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 15% (b) 42% (c) 10% (d) 20%
  10. 10.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 5% (b) 10% (c) 16% (d) 15%
  11. 11.What is 60% of 60? (a) 72 (b) 24 (c) 360 (d) 36
  12. 12.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 62% (b) 5% (c) 15% (d) 10%
  13. 13.What is 75% of 300? (a) 225 (b) 75 (c) 2250 (d) 450
  14. 14.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 10% (b) 6% (c) 32% (d) 5%
  15. 15.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 20%
  16. 16.A shopkeeper buys a toy for ₹820 and sells it for ₹943. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  17. 17.What is 30% of 180? (a) 108 (b) 540 (c) 54 (d) 126
  18. 18.What is 40% of 400? (a) 240 (b) 160 (c) 1600 (d) 320
  19. 19.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 20% (b) 25% (c) 21% (d) 15%
  20. 20.A shopkeeper buys a toy for ₹860 and sells it for ₹1075. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  21. 21.What is 50% of 680? (a) 680 (b) 3400 (c) 341 (d) 340
  22. 22.A bag marked ₹1720 is sold at a 25% discount. What is its selling price? (a) ₹2150 (b) ₹1290 (c) ₹1695 (d) ₹430
  23. 23.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 96% (b) 35% (c) 30% (d) 25%
  24. 24.A bag marked ₹1460 is sold at a 50% discount. What is its selling price? (a) ₹730 (b) ₹731 (c) ₹2190 (d) ₹1410
  25. 25.What is 30% of 420? (a) 252 (b) 126 (c) 294 (d) 1260
  26. 26.A bag marked ₹680 is sold at a 10% discount. What is its selling price? (a) ₹748 (b) ₹68 (c) ₹612 (d) ₹670
  27. 27.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 95% (b) 20% (c) 25% (d) 30%
  28. 28.A bag marked ₹560 is sold at a 10% discount. What is its selling price? (a) ₹56 (b) ₹616 (c) ₹550 (d) ₹504
  29. 29.What is 60% of 720? (a) 288 (b) 4320 (c) 432 (d) 864
  30. 30.A bag marked ₹1300 is sold at a 20% discount. What is its selling price? (a) ₹1040 (b) ₹260 (c) ₹1280 (d) ₹1560
  31. 31.A bag marked ₹660 is sold at a 15% discount. What is its selling price? (a) ₹759 (b) ₹99 (c) ₹561 (d) ₹645
  32. 32.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  33. 33.A bag marked ₹580 is sold at a 15% discount. What is its selling price? (a) ₹667 (b) ₹565 (c) ₹87 (d) ₹493
  34. 34.A bag marked ₹860 is sold at a 10% discount. What is its selling price? (a) ₹946 (b) ₹774 (c) ₹850 (d) ₹86
  35. 35.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 94% (b) 15% (c) 5% (d) 10%
  36. 36.What is 60% of 260? (a) 104 (b) 312 (c) 1560 (d) 156
  37. 37.What is 5% of 480? (a) 240 (b) 48 (c) 456 (d) 24
  38. 38.A shopkeeper buys a toy for ₹720 and sells it for ₹756. What is his profit percent? (a) 36% (b) 10% (c) 6% (d) 5%
  39. 39.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 5% (b) 6% (c) 14% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 25% (b) 20% (c) 70% (d) 30%

Answer key

  1. ₹410
  2. 600
  3. 76
  4. 10%
  5. 456
  6. 30%
  7. 20%
  8. 5%
  9. 15%
  10. 10%
  11. 36
  12. 10%
  13. 225
  14. 5%
  15. 25%
  16. 15%
  17. 54
  18. 160
  19. 20%
  20. 25%
  21. 340
  22. ₹1290
  23. 30%
  24. ₹730
  25. 126
  26. ₹612
  27. 25%
  28. ₹504
  29. 432
  30. ₹1040
  31. ₹561
  32. 30%
  33. ₹493
  34. ₹774
  35. 10%
  36. 156
  37. 24
  38. 5%
  39. 5%
  40. 25%

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