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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 440 · 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 ₹340 and sells it for ₹272. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 68%
  2. 2.What is 30% of 820? (a) 246 (b) 492 (c) 574 (d) 2460
  3. 3.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 16% (b) 10% (c) 5% (d) 15%
  4. 4.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 20%
  5. 5.A shopkeeper buys a toy for ₹400 and sells it for ₹460. What is his profit percent? (a) 60% (b) 10% (c) 15% (d) 20%
  6. 6.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  7. 7.A shopkeeper buys a toy for ₹100 and sells it for ₹150. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
  8. 8.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹690 (b) ₹230 (c) ₹895 (d) ₹1150
  9. 9.A bag marked ₹700 is sold at a 20% discount. What is its selling price? (a) ₹140 (b) ₹560 (c) ₹840 (d) ₹680
  10. 10.A bag marked ₹1320 is sold at a 10% discount. What is its selling price? (a) ₹1452 (b) ₹1188 (c) ₹132 (d) ₹1310
  11. 11.A bag marked ₹860 is sold at a 30% discount. What is its selling price? (a) ₹602 (b) ₹830 (c) ₹1118 (d) ₹258
  12. 12.What is 30% of 240? (a) 168 (b) 72 (c) 144 (d) 720
  13. 13.What is 30% of 140? (a) 98 (b) 42 (c) 420 (d) 84
  14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹240. What is his profit percent? (a) 45% (b) 55% (c) 80% (d) 50%
  15. 15.A shopkeeper buys a toy for ₹820 and sells it for ₹615. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹100 and sells it for ₹60. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  17. 17.What is 15% of 260? (a) 221 (b) 78 (c) 390 (d) 39
  18. 18.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹80 (b) ₹400 (c) ₹240 (d) ₹295
  19. 19.A shopkeeper buys a toy for ₹940 and sells it for ₹564. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  20. 20.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 28%
  21. 21.A bag marked ₹1800 is sold at a 20% discount. What is its selling price? (a) ₹1780 (b) ₹1440 (c) ₹360 (d) ₹2160
  22. 22.A shopkeeper buys a toy for ₹560 and sells it for ₹840. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  23. 23.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 16% (b) 5% (c) 6% (d) 10%
  24. 24.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
  25. 25.What is 15% of 80? (a) 68 (b) 24 (c) 120 (d) 12
  26. 26.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 69%
  27. 27.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 45% (b) 20% (c) 30% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 30% (b) 25% (c) 42% (d) 35%
  29. 29.A bag marked ₹1200 is sold at a 20% discount. What is its selling price? (a) ₹1180 (b) ₹240 (c) ₹1440 (d) ₹960
  30. 30.A shopkeeper buys a toy for ₹440 and sells it for ₹550. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  31. 31.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 35% (b) 20% (c) 30% (d) 25%
  32. 32.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  33. 33.A bag marked ₹1940 is sold at a 15% discount. What is its selling price? (a) ₹1649 (b) ₹291 (c) ₹1925 (d) ₹2231
  34. 34.What is 50% of 760? (a) 380 (b) 3800 (c) 760 (d) 381
  35. 35.What is 40% of 400? (a) 320 (b) 1600 (c) 160 (d) 240
  36. 36.What is 15% of 820? (a) 1230 (b) 246 (c) 697 (d) 123
  37. 37.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  38. 38.A bag marked ₹1360 is sold at a 50% discount. What is its selling price? (a) ₹2040 (b) ₹680 (c) ₹1310 (d) ₹681
  39. 39.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  40. 40.A bag marked ₹1960 is sold at a 20% discount. What is its selling price? (a) ₹392 (b) ₹2352 (c) ₹1940 (d) ₹1568

Answer key

  1. 20%
  2. 246
  3. 10%
  4. 25%
  5. 15%
  6. 25%
  7. 50%
  8. ₹690
  9. ₹560
  10. ₹1188
  11. ₹602
  12. 72
  13. 42
  14. 50%
  15. 25%
  16. 40%
  17. 39
  18. ₹240
  19. 40%
  20. 20%
  21. ₹1440
  22. 50%
  23. 5%
  24. 30%
  25. 12
  26. 15%
  27. 25%
  28. 30%
  29. ₹960
  30. 25%
  31. 25%
  32. 30%
  33. ₹1649
  34. 380
  35. 160
  36. 123
  37. 25%
  38. ₹680
  39. 40%
  40. ₹1568

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