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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 245 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 15% (b) 5% (c) 18% (d) 10%
  2. 2.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹258 (b) ₹1705 (c) ₹1978 (d) ₹1462
  3. 3.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  4. 4.A shopkeeper buys a toy for ₹980 and sells it for ₹1470. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  5. 5.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  6. 6.A bag marked ₹420 is sold at a 15% discount. What is its selling price? (a) ₹483 (b) ₹357 (c) ₹63 (d) ₹405
  7. 7.What is 50% of 220? (a) 220 (b) 1100 (c) 110 (d) 111
  8. 8.What is 50% of 300? (a) 151 (b) 150 (c) 1500 (d) 300
  9. 9.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 6% (b) 7% (c) 10% (d) 5%
  10. 10.What is 20% of 720? (a) 144 (b) 1440 (c) 288 (d) 576
  11. 11.A bag marked ₹420 is sold at a 30% discount. What is its selling price? (a) ₹126 (b) ₹390 (c) ₹546 (d) ₹294
  12. 12.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 10% (b) 5% (c) 26% (d) 15%
  13. 13.A bag marked ₹1780 is sold at a 25% discount. What is its selling price? (a) ₹1335 (b) ₹2225 (c) ₹445 (d) ₹1755
  14. 14.What is 15% of 680? (a) 578 (b) 1020 (c) 102 (d) 204
  15. 15.A shopkeeper buys a toy for ₹640 and sells it for ₹960. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  16. 16.A bag marked ₹700 is sold at a 20% discount. What is its selling price? (a) ₹140 (b) ₹560 (c) ₹680 (d) ₹840
  17. 17.What is 30% of 460? (a) 138 (b) 322 (c) 1380 (d) 276
  18. 18.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹1075 (b) ₹835 (c) ₹645 (d) ₹215
  19. 19.A shopkeeper buys a toy for ₹220 and sells it for ₹242. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 22%
  20. 20.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 5% (b) 82% (c) 15% (d) 10%
  21. 21.What is 15% of 580? (a) 87 (b) 174 (c) 493 (d) 870
  22. 22.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 84%
  23. 23.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 21% (b) 20% (c) 25% (d) 15%
  24. 24.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  25. 25.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  28. 28.What is 30% of 900? (a) 270 (b) 540 (c) 2700 (d) 630
  29. 29.What is 20% of 120? (a) 24 (b) 240 (c) 96 (d) 48
  30. 30.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 6% (b) 5% (c) 45% (d) 10%
  31. 31.What is 40% of 600? (a) 2400 (b) 480 (c) 360 (d) 240
  32. 32.A bag marked ₹700 is sold at a 15% discount. What is its selling price? (a) ₹105 (b) ₹685 (c) ₹805 (d) ₹595
  33. 33.What is 25% of 580? (a) 145 (b) 290 (c) 435 (d) 1450
  34. 34.What is 50% of 60? (a) 31 (b) 300 (c) 30 (d) 60
  35. 35.What is 50% of 500? (a) 250 (b) 2500 (c) 500 (d) 251
  36. 36.A shopkeeper buys a toy for ₹340 and sells it for ₹442. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  37. 37.A bag marked ₹1660 is sold at a 25% discount. What is its selling price? (a) ₹1635 (b) ₹415 (c) ₹2075 (d) ₹1245
  38. 38.A bag marked ₹520 is sold at a 40% discount. What is its selling price? (a) ₹728 (b) ₹480 (c) ₹208 (d) ₹312
  39. 39.A bag marked ₹1520 is sold at a 40% discount. What is its selling price? (a) ₹2128 (b) ₹608 (c) ₹912 (d) ₹1480
  40. 40.A shopkeeper buys a toy for ₹480 and sells it for ₹504. What is his profit percent? (a) 24% (b) 6% (c) 5% (d) 10%

Answer key

  1. 10%
  2. ₹1462
  3. 30%
  4. 50%
  5. 25%
  6. ₹357
  7. 110
  8. 150
  9. 5%
  10. 144
  11. ₹294
  12. 10%
  13. ₹1335
  14. 102
  15. 50%
  16. ₹560
  17. 138
  18. ₹645
  19. 10%
  20. 10%
  21. 87
  22. 30%
  23. 20%
  24. 25%
  25. 20%
  26. 20%
  27. 30%
  28. 270
  29. 24
  30. 5%
  31. 240
  32. ₹595
  33. 145
  34. 30
  35. 250
  36. 30%
  37. ₹1245
  38. ₹312
  39. ₹912
  40. 5%

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