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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 699 · 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 ₹180 and sells it for ₹162. What is his loss percent? (a) 10% (b) 5% (c) 18% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹860 and sells it for ₹1032. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
  3. 3.A bag marked ₹700 is sold at a 40% discount. What is its selling price? (a) ₹660 (b) ₹420 (c) ₹980 (d) ₹280
  4. 4.What is 60% of 760? (a) 912 (b) 304 (c) 456 (d) 4560
  5. 5.What is 15% of 360? (a) 540 (b) 306 (c) 108 (d) 54
  6. 6.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 10% (b) 45% (c) 20% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 30% (b) 10% (c) 5% (d) 6%
  8. 8.A shopkeeper buys a toy for ₹840 and sells it for ₹924. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 84%
  9. 9.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 50% (b) 25% (c) 20% (d) 30%
  10. 10.What is 15% of 380? (a) 323 (b) 570 (c) 114 (d) 57
  11. 11.What is 30% of 80? (a) 48 (b) 24 (c) 56 (d) 240
  12. 12.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 21% (b) 20% (c) 10% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 5% (b) 6% (c) 26% (d) 10%
  14. 14.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  15. 15.A bag marked ₹1640 is sold at a 40% discount. What is its selling price? (a) ₹1600 (b) ₹984 (c) ₹656 (d) ₹2296
  16. 16.What is 60% of 980? (a) 392 (b) 5880 (c) 1176 (d) 588
  17. 17.What is 60% of 520? (a) 3120 (b) 208 (c) 312 (d) 624
  18. 18.What is 15% of 720? (a) 108 (b) 612 (c) 216 (d) 1080
  19. 19.A bag marked ₹580 is sold at a 25% discount. What is its selling price? (a) ₹555 (b) ₹725 (c) ₹435 (d) ₹145
  20. 20.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 30% (b) 25% (c) 78% (d) 35%
  21. 21.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 20% (b) 15% (c) 84% (d) 10%
  22. 22.What is 50% of 800? (a) 800 (b) 4000 (c) 400 (d) 401
  23. 23.What is 40% of 500? (a) 2000 (b) 400 (c) 300 (d) 200
  24. 24.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  25. 25.What is 10% of 220? (a) 220 (b) 44 (c) 22 (d) 198
  26. 26.A bag marked ₹1900 is sold at a 15% discount. What is its selling price? (a) ₹1885 (b) ₹285 (c) ₹2185 (d) ₹1615
  27. 27.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 81% (b) 10% (c) 20% (d) 15%
  28. 28.A shopkeeper buys a toy for ₹900 and sells it for ₹810. What is his loss percent? (a) 90% (b) 10% (c) 15% (d) 5%
  29. 29.A bag marked ₹200 is sold at a 40% discount. What is its selling price? (a) ₹120 (b) ₹80 (c) ₹160 (d) ₹280
  30. 30.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 20% (b) 24% (c) 15% (d) 25%
  31. 31.A bag marked ₹1680 is sold at a 15% discount. What is its selling price? (a) ₹1428 (b) ₹1665 (c) ₹252 (d) ₹1932
  32. 32.A bag marked ₹380 is sold at a 50% discount. What is its selling price? (a) ₹191 (b) ₹330 (c) ₹570 (d) ₹190
  33. 33.What is 10% of 300? (a) 270 (b) 60 (c) 300 (d) 30
  34. 34.A bag marked ₹1720 is sold at a 25% discount. What is its selling price? (a) ₹2150 (b) ₹1290 (c) ₹1695 (d) ₹430
  35. 35.A bag marked ₹1460 is sold at a 10% discount. What is its selling price? (a) ₹1314 (b) ₹146 (c) ₹1606 (d) ₹1450
  36. 36.What is 5% of 100? (a) 95 (b) 50 (c) 5 (d) 10
  37. 37.What is 30% of 180? (a) 126 (b) 54 (c) 540 (d) 108
  38. 38.What is 10% of 800? (a) 720 (b) 80 (c) 800 (d) 160
  39. 39.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 84% (b) 30% (c) 35% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%

Answer key

  1. 10%
  2. 20%
  3. ₹420
  4. 456
  5. 54
  6. 15%
  7. 5%
  8. 10%
  9. 25%
  10. 57
  11. 24
  12. 15%
  13. 5%
  14. 25%
  15. ₹984
  16. 588
  17. 312
  18. 108
  19. ₹435
  20. 30%
  21. 15%
  22. 400
  23. 200
  24. 30%
  25. 22
  26. ₹1615
  27. 15%
  28. 10%
  29. ₹120
  30. 20%
  31. ₹1428
  32. ₹190
  33. 30
  34. ₹1290
  35. ₹1314
  36. 5
  37. 54
  38. 80
  39. 30%
  40. 15%

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