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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 610 · 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 ₹400 and sells it for ₹380. What is his loss percent? (a) 10% (b) 5% (c) 20% (d) 6%
  2. 2.A bag marked ₹500 is sold at a 50% discount. What is its selling price? (a) ₹251 (b) ₹450 (c) ₹250 (d) ₹750
  3. 3.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 24%
  4. 4.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
  5. 5.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  6. 6.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹1562 (b) ₹1410 (c) ₹1278 (d) ₹142
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 15% (b) 20% (c) 64% (d) 25%
  8. 8.What is 25% of 220? (a) 55 (b) 550 (c) 110 (d) 165
  9. 9.What is 75% of 940? (a) 235 (b) 705 (c) 1410 (d) 7050
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹392. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  11. 11.A bag marked ₹1920 is sold at a 30% discount. What is its selling price? (a) ₹1890 (b) ₹2496 (c) ₹576 (d) ₹1344
  12. 12.What is 60% of 1000? (a) 6000 (b) 600 (c) 400 (d) 1200
  13. 13.A shopkeeper buys a toy for ₹520 and sells it for ₹598. What is his profit percent? (a) 15% (b) 78% (c) 20% (d) 10%
  14. 14.A shopkeeper buys a toy for ₹400 and sells it for ₹340. What is his loss percent? (a) 15% (b) 60% (c) 10% (d) 20%
  15. 15.A bag marked ₹580 is sold at a 15% discount. What is its selling price? (a) ₹87 (b) ₹565 (c) ₹667 (d) ₹493
  16. 16.A bag marked ₹780 is sold at a 50% discount. What is its selling price? (a) ₹1170 (b) ₹730 (c) ₹391 (d) ₹390
  17. 17.A bag marked ₹740 is sold at a 30% discount. What is its selling price? (a) ₹222 (b) ₹962 (c) ₹710 (d) ₹518
  18. 18.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  19. 19.A shopkeeper buys a toy for ₹100 and sells it for ₹115. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 16%
  20. 20.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 30% (b) 15% (c) 10% (d) 5%
  21. 21.What is 60% of 980? (a) 5880 (b) 1176 (c) 392 (d) 588
  22. 22.A bag marked ₹720 is sold at a 40% discount. What is its selling price? (a) ₹1008 (b) ₹680 (c) ₹432 (d) ₹288
  23. 23.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  24. 24.A shopkeeper buys a toy for ₹880 and sells it for ₹1320. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  25. 25.A bag marked ₹240 is sold at a 50% discount. What is its selling price? (a) ₹120 (b) ₹360 (c) ₹121 (d) ₹190
  26. 26.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 35% (b) 40% (c) 72% (d) 45%
  27. 27.A shopkeeper buys a toy for ₹440 and sells it for ₹330. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 96% (b) 20% (c) 15% (d) 25%
  29. 29.What is 50% of 720? (a) 720 (b) 360 (c) 3600 (d) 361
  30. 30.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 24%
  31. 31.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 20% (b) 10% (c) 6% (d) 5%
  32. 32.A bag marked ₹660 is sold at a 50% discount. What is its selling price? (a) ₹610 (b) ₹990 (c) ₹331 (d) ₹330
  33. 33.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 25% (c) 20% (d) 30%
  34. 34.A bag marked ₹660 is sold at a 40% discount. What is its selling price? (a) ₹396 (b) ₹620 (c) ₹924 (d) ₹264
  35. 35.What is 30% of 300? (a) 210 (b) 180 (c) 900 (d) 90
  36. 36.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 48% (b) 30% (c) 35% (d) 25%
  37. 37.What is 10% of 980? (a) 980 (b) 196 (c) 882 (d) 98
  38. 38.What is 25% of 620? (a) 310 (b) 1550 (c) 465 (d) 155
  39. 39.What is 10% of 960? (a) 864 (b) 960 (c) 96 (d) 192
  40. 40.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 56%

Answer key

  1. 5%
  2. ₹250
  3. 10%
  4. 40%
  5. 50%
  6. ₹1278
  7. 20%
  8. 55
  9. 705
  10. 40%
  11. ₹1344
  12. 600
  13. 15%
  14. 15%
  15. ₹493
  16. ₹390
  17. ₹518
  18. 40%
  19. 15%
  20. 10%
  21. 588
  22. ₹432
  23. 30%
  24. 50%
  25. ₹120
  26. 40%
  27. 25%
  28. 20%
  29. 360
  30. 15%
  31. 5%
  32. ₹330
  33. 25%
  34. ₹396
  35. 90
  36. 30%
  37. 98
  38. 155
  39. 96
  40. 20%

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