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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 183 · 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 ₹840 and sells it for ₹1176. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  2. 2.A shopkeeper buys a toy for ₹800 and sells it for ₹560. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  3. 3.What is 10% of 120? (a) 12 (b) 24 (c) 120 (d) 108
  4. 4.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  5. 5.What is 60% of 500? (a) 600 (b) 3000 (c) 200 (d) 300
  6. 6.A shopkeeper buys a toy for ₹900 and sells it for ₹1350. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  7. 7.What is 60% of 960? (a) 384 (b) 1152 (c) 5760 (d) 576
  8. 8.A bag marked ₹1940 is sold at a 50% discount. What is its selling price? (a) ₹2910 (b) ₹1890 (c) ₹970 (d) ₹971
  9. 9.What is 50% of 600? (a) 301 (b) 300 (c) 600 (d) 3000
  10. 10.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 15% (b) 10% (c) 11% (d) 5%
  11. 11.A shopkeeper buys a toy for ₹640 and sells it for ₹448. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  12. 12.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  13. 13.What is 75% of 900? (a) 1350 (b) 675 (c) 6750 (d) 225
  14. 14.A bag marked ₹1300 is sold at a 40% discount. What is its selling price? (a) ₹1260 (b) ₹780 (c) ₹1820 (d) ₹520
  15. 15.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 10% (b) 76% (c) 15% (d) 5%
  16. 16.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 29% (b) 6% (c) 10% (d) 5%
  17. 17.A bag marked ₹260 is sold at a 20% discount. What is its selling price? (a) ₹240 (b) ₹208 (c) ₹52 (d) ₹312
  18. 18.A shopkeeper buys a toy for ₹420 and sells it for ₹357. What is his loss percent? (a) 63% (b) 15% (c) 10% (d) 20%
  19. 19.What is 10% of 480? (a) 48 (b) 96 (c) 432 (d) 480
  20. 20.A bag marked ₹1640 is sold at a 20% discount. What is its selling price? (a) ₹1312 (b) ₹1620 (c) ₹1968 (d) ₹328
  21. 21.What is 60% of 680? (a) 4080 (b) 272 (c) 816 (d) 408
  22. 22.What is 75% of 780? (a) 1170 (b) 195 (c) 585 (d) 5850
  23. 23.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 40% (b) 96% (c) 45% (d) 35%
  25. 25.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 45%
  26. 26.What is 60% of 980? (a) 588 (b) 1176 (c) 392 (d) 5880
  27. 27.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  28. 28.A shopkeeper buys a toy for ₹780 and sells it for ₹1014. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  29. 29.What is 20% of 420? (a) 840 (b) 168 (c) 336 (d) 84
  30. 30.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  31. 31.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 5% (b) 6% (c) 7% (d) 10%
  32. 32.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 28% (b) 15% (c) 5% (d) 10%
  33. 33.A bag marked ₹1560 is sold at a 10% discount. What is its selling price? (a) ₹1550 (b) ₹1716 (c) ₹156 (d) ₹1404
  34. 34.What is 75% of 360? (a) 2700 (b) 540 (c) 270 (d) 90
  35. 35.A bag marked ₹1040 is sold at a 15% discount. What is its selling price? (a) ₹884 (b) ₹1025 (c) ₹1196 (d) ₹156
  36. 36.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  37. 37.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 48% (b) 10% (c) 6% (d) 5%
  38. 38.What is 40% of 320? (a) 192 (b) 128 (c) 1280 (d) 256
  39. 39.A shopkeeper buys a toy for ₹720 and sells it for ₹432. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  40. 40.What is 75% of 640? (a) 160 (b) 4800 (c) 960 (d) 480

Answer key

  1. 40%
  2. 30%
  3. 12
  4. 30%
  5. 300
  6. 50%
  7. 576
  8. ₹970
  9. 300
  10. 10%
  11. 30%
  12. 50%
  13. 675
  14. ₹780
  15. 10%
  16. 5%
  17. ₹208
  18. 15%
  19. 48
  20. ₹1312
  21. 408
  22. 585
  23. 25%
  24. 40%
  25. 15%
  26. 588
  27. 20%
  28. 30%
  29. 84
  30. 25%
  31. 5%
  32. 10%
  33. ₹1404
  34. 270
  35. ₹884
  36. 50%
  37. 5%
  38. 128
  39. 40%
  40. 480

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