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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 253 · 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 ₹860 and sells it for ₹1204. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  2. 2.A bag marked ₹1620 is sold at a 40% discount. What is its selling price? (a) ₹972 (b) ₹1580 (c) ₹648 (d) ₹2268
  3. 3.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹900 (b) ₹300 (c) ₹550 (d) ₹301
  4. 4.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 24%
  5. 5.What is 5% of 180? (a) 90 (b) 18 (c) 9 (d) 171
  6. 6.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 90%
  7. 7.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  8. 8.What is 10% of 180? (a) 162 (b) 18 (c) 180 (d) 36
  9. 9.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹90 (b) ₹510 (c) ₹585 (d) ₹690
  10. 10.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
  11. 11.A bag marked ₹1100 is sold at a 50% discount. What is its selling price? (a) ₹550 (b) ₹1650 (c) ₹1050 (d) ₹551
  12. 12.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 15% (b) 16% (c) 10% (d) 5%
  13. 13.What is 15% of 940? (a) 799 (b) 282 (c) 141 (d) 1410
  14. 14.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 38% (b) 5% (c) 10% (d) 15%
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 10% (b) 30% (c) 5% (d) 6%
  16. 16.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  17. 17.A bag marked ₹220 is sold at a 10% discount. What is its selling price? (a) ₹22 (b) ₹210 (c) ₹198 (d) ₹242
  18. 18.A bag marked ₹1180 is sold at a 25% discount. What is its selling price? (a) ₹1475 (b) ₹295 (c) ₹1155 (d) ₹885
  19. 19.What is 40% of 380? (a) 152 (b) 1520 (c) 228 (d) 304
  20. 20.A bag marked ₹1660 is sold at a 25% discount. What is its selling price? (a) ₹2075 (b) ₹1245 (c) ₹1635 (d) ₹415
  21. 21.A shopkeeper buys a toy for ₹860 and sells it for ₹1118. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
  22. 22.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 35%
  23. 23.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 35%
  24. 24.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 16%
  25. 25.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 28% (b) 6% (c) 5% (d) 10%
  26. 26.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹48 (b) ₹305 (c) ₹368 (d) ₹272
  27. 27.A bag marked ₹1480 is sold at a 10% discount. What is its selling price? (a) ₹148 (b) ₹1470 (c) ₹1628 (d) ₹1332
  28. 28.What is 25% of 520? (a) 390 (b) 1300 (c) 130 (d) 260
  29. 29.What is 30% of 420? (a) 294 (b) 252 (c) 1260 (d) 126
  30. 30.What is 50% of 160? (a) 160 (b) 800 (c) 81 (d) 80
  31. 31.What is 60% of 200? (a) 240 (b) 1200 (c) 120 (d) 80
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 6% (b) 10% (c) 16% (d) 5%
  33. 33.What is 15% of 260? (a) 390 (b) 39 (c) 78 (d) 221
  34. 34.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
  35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 15% (b) 60% (c) 25% (d) 20%
  36. 36.What is 5% of 700? (a) 350 (b) 70 (c) 665 (d) 35
  37. 37.What is 60% of 520? (a) 624 (b) 3120 (c) 312 (d) 208
  38. 38.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 25% (c) 21% (d) 15%
  39. 39.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 5% (b) 11% (c) 15% (d) 10%
  40. 40.What is 20% of 700? (a) 140 (b) 280 (c) 1400 (d) 560

Answer key

  1. 40%
  2. ₹972
  3. ₹300
  4. 10%
  5. 9
  6. 25%
  7. 25%
  8. 18
  9. ₹510
  10. 40%
  11. ₹550
  12. 10%
  13. 141
  14. 10%
  15. 5%
  16. 30%
  17. ₹198
  18. ₹885
  19. 152
  20. ₹1245
  21. 30%
  22. 5%
  23. 5%
  24. 15%
  25. 5%
  26. ₹272
  27. ₹1332
  28. 130
  29. 126
  30. 80
  31. 120
  32. 5%
  33. 39
  34. 20%
  35. 20%
  36. 35
  37. 312
  38. 20%
  39. 10%
  40. 140

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