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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 659 · 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 ₹500 and sells it for ₹350. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 30%
  3. 3.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%
  4. 4.A bag marked ₹400 is sold at a 25% discount. What is its selling price? (a) ₹100 (b) ₹300 (c) ₹500 (d) ₹375
  5. 5.What is 10% of 720? (a) 72 (b) 648 (c) 144 (d) 720
  6. 6.A shopkeeper buys a toy for ₹200 and sells it for ₹210. What is his profit percent? (a) 10% (b) 5% (c) 4% (d) 6%
  7. 7.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 32% (b) 20% (c) 25% (d) 15%
  8. 8.What is 60% of 440? (a) 176 (b) 2640 (c) 528 (d) 264
  9. 9.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 78%
  10. 10.What is 5% of 680? (a) 68 (b) 340 (c) 34 (d) 646
  11. 11.A shopkeeper buys a toy for ₹740 and sells it for ₹925. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  12. 12.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 58%
  13. 13.What is 75% of 520? (a) 130 (b) 3900 (c) 390 (d) 780
  14. 14.A shopkeeper buys a toy for ₹140 and sells it for ₹168. What is his profit percent? (a) 20% (b) 15% (c) 28% (d) 25%
  15. 15.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 10% (b) 5% (c) 86% (d) 15%
  16. 16.What is 60% of 940? (a) 5640 (b) 564 (c) 376 (d) 1128
  17. 17.A shopkeeper buys a toy for ₹680 and sells it for ₹850. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%
  18. 18.A shopkeeper buys a toy for ₹680 and sells it for ₹782. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
  19. 19.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 42%
  20. 20.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 43% (b) 5% (c) 6% (d) 10%
  21. 21.A bag marked ₹740 is sold at a 20% discount. What is its selling price? (a) ₹888 (b) ₹148 (c) ₹720 (d) ₹592
  22. 22.A bag marked ₹600 is sold at a 10% discount. What is its selling price? (a) ₹60 (b) ₹590 (c) ₹540 (d) ₹660
  23. 23.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 12% (b) 6% (c) 10% (d) 5%
  24. 24.A bag marked ₹220 is sold at a 15% discount. What is its selling price? (a) ₹253 (b) ₹33 (c) ₹187 (d) ₹205
  25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  26. 26.What is 50% of 260? (a) 131 (b) 130 (c) 1300 (d) 260
  27. 27.A bag marked ₹1280 is sold at a 15% discount. What is its selling price? (a) ₹192 (b) ₹1265 (c) ₹1472 (d) ₹1088
  28. 28.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 15% (b) 5% (c) 16% (d) 10%
  29. 29.A bag marked ₹1240 is sold at a 15% discount. What is its selling price? (a) ₹1054 (b) ₹1225 (c) ₹186 (d) ₹1426
  30. 30.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹598 (b) ₹430 (c) ₹138 (d) ₹322
  31. 31.What is 50% of 540? (a) 2700 (b) 271 (c) 540 (d) 270
  32. 32.A shopkeeper buys a toy for ₹460 and sells it for ₹322. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
  33. 33.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 44% (b) 10% (c) 5% (d) 6%
  34. 34.A bag marked ₹1400 is sold at a 40% discount. What is its selling price? (a) ₹1960 (b) ₹840 (c) ₹1360 (d) ₹560
  35. 35.A bag marked ₹340 is sold at a 40% discount. What is its selling price? (a) ₹136 (b) ₹204 (c) ₹476 (d) ₹300
  36. 36.What is 75% of 120? (a) 30 (b) 900 (c) 90 (d) 180
  37. 37.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 10% (b) 15% (c) 70% (d) 5%
  38. 38.What is 75% of 220? (a) 330 (b) 165 (c) 1650 (d) 55
  39. 39.A bag marked ₹1640 is sold at a 40% discount. What is its selling price? (a) ₹656 (b) ₹2296 (c) ₹984 (d) ₹1600
  40. 40.A shopkeeper buys a toy for ₹400 and sells it for ₹600. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%

Answer key

  1. 30%
  2. 10%
  3. 50%
  4. ₹300
  5. 72
  6. 5%
  7. 20%
  8. 264
  9. 10%
  10. 34
  11. 25%
  12. 10%
  13. 390
  14. 20%
  15. 10%
  16. 564
  17. 25%
  18. 15%
  19. 10%
  20. 5%
  21. ₹592
  22. ₹540
  23. 5%
  24. ₹187
  25. 20%
  26. 130
  27. ₹1088
  28. 10%
  29. ₹1054
  30. ₹322
  31. 270
  32. 30%
  33. 5%
  34. ₹840
  35. ₹204
  36. 90
  37. 10%
  38. 165
  39. ₹984
  40. 50%

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