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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 684 · 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 ₹1900 is sold at a 40% discount. What is its selling price? (a) ₹760 (b) ₹1860 (c) ₹1140 (d) ₹2660
  2. 2.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
  3. 3.A shopkeeper buys a toy for ₹960 and sells it for ₹1200. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  4. 4.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 20% (b) 15% (c) 5% (d) 10%
  5. 5.What is 15% of 220? (a) 330 (b) 187 (c) 33 (d) 66
  6. 6.A shopkeeper buys a toy for ₹680 and sells it for ₹408. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  7. 7.What is 30% of 500? (a) 1500 (b) 150 (c) 350 (d) 300
  8. 8.A shopkeeper buys a toy for ₹500 and sells it for ₹375. What is his loss percent? (a) 25% (b) 30% (c) 26% (d) 20%
  9. 9.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 48% (b) 35% (c) 40% (d) 45%
  10. 10.A bag marked ₹1460 is sold at a 40% discount. What is its selling price? (a) ₹584 (b) ₹2044 (c) ₹876 (d) ₹1420
  11. 11.What is 40% of 600? (a) 360 (b) 2400 (c) 480 (d) 240
  12. 12.A shopkeeper buys a toy for ₹780 and sells it for ₹1014. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  13. 13.What is 40% of 700? (a) 2800 (b) 280 (c) 560 (d) 420
  14. 14.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 46% (b) 10% (c) 6% (d) 5%
  15. 15.What is 75% of 420? (a) 630 (b) 105 (c) 3150 (d) 315
  16. 16.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 15% (b) 98% (c) 5% (d) 10%
  17. 17.A bag marked ₹1140 is sold at a 10% discount. What is its selling price? (a) ₹1026 (b) ₹1130 (c) ₹1254 (d) ₹114
  18. 18.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  19. 19.A bag marked ₹560 is sold at a 10% discount. What is its selling price? (a) ₹56 (b) ₹504 (c) ₹616 (d) ₹550
  20. 20.A shopkeeper buys a toy for ₹460 and sells it for ₹690. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  21. 21.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 16% (b) 20% (c) 15% (d) 10%
  22. 22.What is 40% of 800? (a) 3200 (b) 640 (c) 320 (d) 480
  23. 23.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  24. 24.What is 30% of 280? (a) 840 (b) 84 (c) 196 (d) 168
  25. 25.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 15% (c) 5% (d) 10%
  26. 26.What is 5% of 660? (a) 66 (b) 33 (c) 627 (d) 330
  27. 27.What is 5% of 200? (a) 20 (b) 10 (c) 100 (d) 190
  28. 28.What is 10% of 880? (a) 176 (b) 88 (c) 880 (d) 792
  29. 29.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 10% (b) 6% (c) 34% (d) 5%
  30. 30.A shopkeeper buys a toy for ₹820 and sells it for ₹779. What is his loss percent? (a) 6% (b) 41% (c) 5% (d) 10%
  31. 31.A bag marked ₹1800 is sold at a 30% discount. What is its selling price? (a) ₹540 (b) ₹1770 (c) ₹1260 (d) ₹2340
  32. 32.What is 5% of 840? (a) 84 (b) 42 (c) 420 (d) 798
  33. 33.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 5% (b) 22% (c) 10% (d) 6%
  34. 34.What is 10% of 920? (a) 920 (b) 184 (c) 92 (d) 828
  35. 35.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 92% (b) 10% (c) 5% (d) 15%
  36. 36.A bag marked ₹520 is sold at a 40% discount. What is its selling price? (a) ₹312 (b) ₹208 (c) ₹728 (d) ₹480
  37. 37.A bag marked ₹440 is sold at a 30% discount. What is its selling price? (a) ₹410 (b) ₹132 (c) ₹572 (d) ₹308
  38. 38.A bag marked ₹720 is sold at a 20% discount. What is its selling price? (a) ₹576 (b) ₹864 (c) ₹700 (d) ₹144
  39. 39.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹215 (b) ₹1075 (c) ₹645 (d) ₹835
  40. 40.What is 50% of 660? (a) 660 (b) 330 (c) 3300 (d) 331

Answer key

  1. ₹1140
  2. 15%
  3. 25%
  4. 10%
  5. 33
  6. 40%
  7. 150
  8. 25%
  9. 40%
  10. ₹876
  11. 240
  12. 30%
  13. 280
  14. 5%
  15. 315
  16. 10%
  17. ₹1026
  18. 30%
  19. ₹504
  20. 50%
  21. 15%
  22. 320
  23. 50%
  24. 84
  25. 10%
  26. 33
  27. 10
  28. 88
  29. 5%
  30. 5%
  31. ₹1260
  32. 42
  33. 5%
  34. 92
  35. 10%
  36. ₹312
  37. ₹308
  38. ₹576
  39. ₹645
  40. 330

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