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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 445 · 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 ₹160 and sells it for ₹224. What is his profit percent? (a) 40% (b) 35% (c) 45% (d) 64%
  2. 2.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 10% (b) 4% (c) 6% (d) 5%
  3. 3.A shopkeeper buys a toy for ₹660 and sells it for ₹990. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  4. 4.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 78% (b) 25% (c) 35% (d) 30%
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 30% (b) 15% (c) 5% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 15% (b) 20% (c) 39% (d) 10%
  7. 7.A bag marked ₹620 is sold at a 25% discount. What is its selling price? (a) ₹155 (b) ₹465 (c) ₹775 (d) ₹595
  8. 8.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹300 (b) ₹301 (c) ₹550 (d) ₹900
  9. 9.A bag marked ₹720 is sold at a 25% discount. What is its selling price? (a) ₹540 (b) ₹900 (c) ₹180 (d) ₹695
  10. 10.A bag marked ₹1320 is sold at a 25% discount. What is its selling price? (a) ₹1295 (b) ₹330 (c) ₹990 (d) ₹1650
  11. 11.A shopkeeper buys a toy for ₹820 and sells it for ₹1148. What is his profit percent? (a) 40% (b) 35% (c) 45% (d) 41%
  12. 12.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  13. 13.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 5% (b) 62% (c) 10% (d) 15%
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 15% (b) 52% (c) 20% (d) 25%
  15. 15.What is 30% of 620? (a) 434 (b) 372 (c) 186 (d) 1860
  16. 16.A shopkeeper buys a toy for ₹840 and sells it for ₹630. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  17. 17.What is 10% of 240? (a) 24 (b) 240 (c) 216 (d) 48
  18. 18.What is 60% of 460? (a) 184 (b) 276 (c) 552 (d) 2760
  19. 19.A shopkeeper buys a toy for ₹420 and sells it for ₹630. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  20. 20.What is 50% of 400? (a) 201 (b) 200 (c) 2000 (d) 400
  21. 21.What is 75% of 220? (a) 55 (b) 330 (c) 1650 (d) 165
  22. 22.What is 40% of 780? (a) 468 (b) 624 (c) 312 (d) 3120
  23. 23.What is 50% of 540? (a) 271 (b) 270 (c) 2700 (d) 540
  24. 24.What is 60% of 300? (a) 1800 (b) 360 (c) 120 (d) 180
  25. 25.What is 40% of 320? (a) 128 (b) 256 (c) 1280 (d) 192
  26. 26.What is 25% of 600? (a) 300 (b) 1500 (c) 450 (d) 150
  27. 27.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 10% (b) 7% (c) 5% (d) 6%
  28. 28.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 5%
  29. 29.A bag marked ₹1080 is sold at a 10% discount. What is its selling price? (a) ₹108 (b) ₹972 (c) ₹1188 (d) ₹1070
  30. 30.A bag marked ₹840 is sold at a 25% discount. What is its selling price? (a) ₹630 (b) ₹815 (c) ₹1050 (d) ₹210
  31. 31.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  32. 32.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 5% (b) 10% (c) 48% (d) 15%
  33. 33.What is 25% of 980? (a) 735 (b) 245 (c) 490 (d) 2450
  34. 34.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 15% (b) 26% (c) 5% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
  36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  37. 37.A bag marked ₹1300 is sold at a 30% discount. What is its selling price? (a) ₹1270 (b) ₹1690 (c) ₹390 (d) ₹910
  38. 38.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 10% (b) 15% (c) 94% (d) 5%
  39. 39.A bag marked ₹780 is sold at a 20% discount. What is its selling price? (a) ₹156 (b) ₹936 (c) ₹760 (d) ₹624
  40. 40.A bag marked ₹2000 is sold at a 20% discount. What is its selling price? (a) ₹400 (b) ₹1980 (c) ₹1600 (d) ₹2400

Answer key

  1. 40%
  2. 5%
  3. 50%
  4. 30%
  5. 10%
  6. 15%
  7. ₹465
  8. ₹300
  9. ₹540
  10. ₹990
  11. 40%
  12. 25%
  13. 10%
  14. 20%
  15. 186
  16. 25%
  17. 24
  18. 276
  19. 50%
  20. 200
  21. 165
  22. 312
  23. 270
  24. 180
  25. 128
  26. 150
  27. 5%
  28. 10%
  29. ₹972
  30. ₹630
  31. 50%
  32. 10%
  33. 245
  34. 10%
  35. 30%
  36. 50%
  37. ₹910
  38. 10%
  39. ₹624
  40. ₹1600

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