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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 944 · 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 ₹860 is sold at a 10% discount. What is its selling price? (a) ₹86 (b) ₹850 (c) ₹774 (d) ₹946
  2. 2.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 36% (b) 20% (c) 25% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹520 and sells it for ₹442. What is his loss percent? (a) 78% (b) 20% (c) 10% (d) 15%
  4. 4.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 78%
  5. 5.A bag marked ₹1540 is sold at a 20% discount. What is its selling price? (a) ₹1232 (b) ₹1848 (c) ₹1520 (d) ₹308
  6. 6.A shopkeeper buys a toy for ₹980 and sells it for ₹1470. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  7. 7.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 6% (b) 5% (c) 27% (d) 10%
  8. 8.A shopkeeper buys a toy for ₹580 and sells it for ₹754. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  9. 9.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
  10. 10.What is 5% of 140? (a) 133 (b) 14 (c) 7 (d) 70
  11. 11.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 5% (b) 15% (c) 68% (d) 10%
  12. 12.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 20% (c) 30% (d) 25%
  13. 13.What is 5% of 800? (a) 80 (b) 400 (c) 760 (d) 40
  14. 14.A shopkeeper buys a toy for ₹660 and sells it for ₹759. What is his profit percent? (a) 10% (b) 15% (c) 99% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹100 and sells it for ₹115. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
  16. 16.What is 10% of 1000? (a) 900 (b) 1000 (c) 100 (d) 200
  17. 17.What is 5% of 300? (a) 285 (b) 15 (c) 30 (d) 150
  18. 18.What is 15% of 680? (a) 1020 (b) 578 (c) 204 (d) 102
  19. 19.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 26% (b) 20% (c) 25% (d) 30%
  20. 20.A bag marked ₹1940 is sold at a 40% discount. What is its selling price? (a) ₹1164 (b) ₹776 (c) ₹1900 (d) ₹2716
  21. 21.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 15% (b) 33% (c) 20% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 15% (b) 66% (c) 10% (d) 5%
  23. 23.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  24. 24.What is 10% of 760? (a) 152 (b) 760 (c) 76 (d) 684
  25. 25.A bag marked ₹1240 is sold at a 20% discount. What is its selling price? (a) ₹248 (b) ₹1488 (c) ₹992 (d) ₹1220
  26. 26.What is 75% of 280? (a) 210 (b) 70 (c) 2100 (d) 420
  27. 27.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 11% (b) 5% (c) 10% (d) 15%
  28. 28.A bag marked ₹1140 is sold at a 10% discount. What is its selling price? (a) ₹1254 (b) ₹114 (c) ₹1026 (d) ₹1130
  29. 29.A shopkeeper buys a toy for ₹1000 and sells it for ₹700. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  30. 30.A bag marked ₹1100 is sold at a 25% discount. What is its selling price? (a) ₹825 (b) ₹1375 (c) ₹1075 (d) ₹275
  31. 31.A bag marked ₹1000 is sold at a 10% discount. What is its selling price? (a) ₹100 (b) ₹990 (c) ₹1100 (d) ₹900
  32. 32.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 27%
  33. 33.What is 40% of 800? (a) 480 (b) 320 (c) 3200 (d) 640
  34. 34.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 6% (b) 10% (c) 30% (d) 5%
  35. 35.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  36. 36.What is 15% of 540? (a) 459 (b) 81 (c) 162 (d) 810
  37. 37.What is 75% of 180? (a) 135 (b) 45 (c) 1350 (d) 270
  38. 38.What is 5% of 360? (a) 342 (b) 180 (c) 36 (d) 18
  39. 39.What is 15% of 840? (a) 252 (b) 714 (c) 126 (d) 1260
  40. 40.What is 60% of 220? (a) 264 (b) 132 (c) 1320 (d) 88

Answer key

  1. ₹774
  2. 20%
  3. 15%
  4. 10%
  5. ₹1232
  6. 50%
  7. 5%
  8. 30%
  9. 25%
  10. 7
  11. 10%
  12. 25%
  13. 40
  14. 15%
  15. 15%
  16. 100
  17. 15
  18. 102
  19. 25%
  20. ₹1164
  21. 15%
  22. 10%
  23. 40%
  24. 76
  25. ₹992
  26. 210
  27. 10%
  28. ₹1026
  29. 30%
  30. ₹825
  31. ₹900
  32. 5%
  33. 320
  34. 5%
  35. 20%
  36. 81
  37. 135
  38. 18
  39. 126
  40. 132

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