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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 990 · 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 ₹520 and sells it for ₹468. What is his loss percent? (a) 52% (b) 10% (c) 5% (d) 15%
  2. 2.What is 30% of 120? (a) 36 (b) 360 (c) 72 (d) 84
  3. 3.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 52% (b) 15% (c) 20% (d) 25%
  4. 4.A shopkeeper buys a toy for ₹880 and sells it for ₹1320. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  5. 5.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 25% (b) 50% (c) 30% (d) 20%
  6. 6.A bag marked ₹1980 is sold at a 50% discount. What is its selling price? (a) ₹991 (b) ₹1930 (c) ₹990 (d) ₹2970
  7. 7.A shopkeeper buys a toy for ₹820 and sells it for ₹779. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 41%
  8. 8.A bag marked ₹980 is sold at a 20% discount. What is its selling price? (a) ₹196 (b) ₹784 (c) ₹1176 (d) ₹960
  9. 9.A shopkeeper buys a toy for ₹780 and sells it for ₹819. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 39%
  10. 10.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 28%
  11. 11.A bag marked ₹1200 is sold at a 50% discount. What is its selling price? (a) ₹1800 (b) ₹601 (c) ₹1150 (d) ₹600
  12. 12.A bag marked ₹1600 is sold at a 50% discount. What is its selling price? (a) ₹2400 (b) ₹1550 (c) ₹801 (d) ₹800
  13. 13.A bag marked ₹1420 is sold at a 25% discount. What is its selling price? (a) ₹1395 (b) ₹355 (c) ₹1065 (d) ₹1775
  14. 14.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 15% (b) 70% (c) 5% (d) 10%
  15. 15.A bag marked ₹1700 is sold at a 40% discount. What is its selling price? (a) ₹680 (b) ₹1020 (c) ₹2380 (d) ₹1660
  16. 16.What is 60% of 720? (a) 288 (b) 4320 (c) 864 (d) 432
  17. 17.A bag marked ₹460 is sold at a 20% discount. What is its selling price? (a) ₹552 (b) ₹92 (c) ₹368 (d) ₹440
  18. 18.What is 20% of 100? (a) 200 (b) 80 (c) 40 (d) 20
  19. 19.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%
  20. 20.A bag marked ₹220 is sold at a 40% discount. What is its selling price? (a) ₹132 (b) ₹308 (c) ₹88 (d) ₹180
  21. 21.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 23% (b) 5% (c) 6% (d) 10%
  22. 22.What is 40% of 140? (a) 560 (b) 84 (c) 112 (d) 56
  23. 23.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 16%
  24. 24.A shopkeeper buys a toy for ₹240 and sells it for ₹360. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%
  25. 25.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 20% (b) 30% (c) 40% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹180 and sells it for ₹270. What is his profit percent? (a) 50% (b) 90% (c) 45% (d) 55%
  27. 27.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  28. 28.A bag marked ₹1940 is sold at a 15% discount. What is its selling price? (a) ₹1649 (b) ₹2231 (c) ₹291 (d) ₹1925
  29. 29.What is 50% of 840? (a) 420 (b) 421 (c) 4200 (d) 840
  30. 30.What is 10% of 260? (a) 234 (b) 26 (c) 260 (d) 52
  31. 31.A shopkeeper buys a toy for ₹360 and sells it for ₹432. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 72%
  32. 32.A shopkeeper buys a toy for ₹440 and sells it for ₹484. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 44%
  33. 33.What is 50% of 860? (a) 860 (b) 430 (c) 431 (d) 4300
  34. 34.What is 50% of 380? (a) 191 (b) 190 (c) 380 (d) 1900
  35. 35.A bag marked ₹1940 is sold at a 30% discount. What is its selling price? (a) ₹1358 (b) ₹2522 (c) ₹582 (d) ₹1910
  36. 36.A shopkeeper buys a toy for ₹480 and sells it for ₹600. What is his profit percent? (a) 26% (b) 20% (c) 25% (d) 30%
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 10% (b) 13% (c) 5% (d) 6%
  38. 38.A shopkeeper buys a toy for ₹280 and sells it for ₹224. What is his loss percent? (a) 15% (b) 56% (c) 25% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  40. 40.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 25%

Answer key

  1. 10%
  2. 36
  3. 20%
  4. 50%
  5. 25%
  6. ₹990
  7. 5%
  8. ₹784
  9. 5%
  10. 5%
  11. ₹600
  12. ₹800
  13. ₹1065
  14. 10%
  15. ₹1020
  16. 432
  17. ₹368
  18. 20
  19. 15%
  20. ₹132
  21. 5%
  22. 56
  23. 15%
  24. 50%
  25. 25%
  26. 50%
  27. 40%
  28. ₹1649
  29. 420
  30. 26
  31. 20%
  32. 10%
  33. 430
  34. 190
  35. ₹1358
  36. 25%
  37. 5%
  38. 20%
  39. 40%
  40. 5%

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