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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 698 · 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 bag marked ₹1860 is sold at a 30% discount. What is its selling price? (a) ₹1830 (b) ₹558 (c) ₹2418 (d) ₹1302
  2. 2.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 41%
  3. 3.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  4. 4.What is 20% of 660? (a) 264 (b) 528 (c) 132 (d) 1320
  5. 5.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 40% (b) 64% (c) 45% (d) 35%
  6. 6.A bag marked ₹1080 is sold at a 30% discount. What is its selling price? (a) ₹1050 (b) ₹324 (c) ₹756 (d) ₹1404
  7. 7.A bag marked ₹1240 is sold at a 25% discount. What is its selling price? (a) ₹930 (b) ₹1215 (c) ₹310 (d) ₹1550
  8. 8.A shopkeeper buys a toy for ₹840 and sells it for ₹966. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  9. 9.What is 40% of 420? (a) 1680 (b) 168 (c) 336 (d) 252
  10. 10.What is 20% of 700? (a) 280 (b) 1400 (c) 560 (d) 140
  11. 11.A bag marked ₹1360 is sold at a 10% discount. What is its selling price? (a) ₹1496 (b) ₹1224 (c) ₹136 (d) ₹1350
  12. 12.What is 75% of 800? (a) 200 (b) 6000 (c) 1200 (d) 600
  13. 13.What is 5% of 60? (a) 3 (b) 30 (c) 6 (d) 57
  14. 14.What is 5% of 1000? (a) 100 (b) 50 (c) 950 (d) 500
  15. 15.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 54% (b) 5% (c) 15% (d) 10%
  16. 16.What is 5% of 280? (a) 266 (b) 140 (c) 28 (d) 14
  17. 17.A bag marked ₹1120 is sold at a 40% discount. What is its selling price? (a) ₹1568 (b) ₹1080 (c) ₹672 (d) ₹448
  18. 18.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 84% (b) 35% (c) 25% (d) 30%
  19. 19.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 78%
  20. 20.What is 60% of 960? (a) 384 (b) 576 (c) 5760 (d) 1152
  21. 21.A shopkeeper buys a toy for ₹740 and sells it for ₹518. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  22. 22.A bag marked ₹1000 is sold at a 25% discount. What is its selling price? (a) ₹1250 (b) ₹250 (c) ₹975 (d) ₹750
  23. 23.A shopkeeper buys a toy for ₹760 and sells it for ₹532. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
  24. 24.A shopkeeper buys a toy for ₹1000 and sells it for ₹950. What is his loss percent? (a) 10% (b) 50% (c) 5% (d) 6%
  25. 25.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 10% (b) 16% (c) 15% (d) 20%
  26. 26.What is 40% of 60? (a) 48 (b) 24 (c) 240 (d) 36
  27. 27.A bag marked ₹880 is sold at a 50% discount. What is its selling price? (a) ₹440 (b) ₹441 (c) ₹830 (d) ₹1320
  28. 28.What is 5% of 760? (a) 380 (b) 722 (c) 38 (d) 76
  29. 29.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 52% (b) 25% (c) 20% (d) 15%
  30. 30.A shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 47% (b) 10% (c) 5% (d) 6%
  31. 31.A bag marked ₹1620 is sold at a 50% discount. What is its selling price? (a) ₹2430 (b) ₹1570 (c) ₹811 (d) ₹810
  32. 32.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹32 (b) ₹288 (c) ₹310 (d) ₹352
  33. 33.What is 10% of 140? (a) 14 (b) 126 (c) 28 (d) 140
  34. 34.What is 25% of 540? (a) 270 (b) 135 (c) 1350 (d) 405
  35. 35.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 27%
  36. 36.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹1670 (b) ₹1190 (c) ₹510 (d) ₹2210
  37. 37.A bag marked ₹1660 is sold at a 30% discount. What is its selling price? (a) ₹1630 (b) ₹498 (c) ₹1162 (d) ₹2158
  38. 38.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
  39. 39.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 15% (b) 5% (c) 22% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 45% (b) 15% (c) 10% (d) 20%

Answer key

  1. ₹1302
  2. 40%
  3. 30%
  4. 132
  5. 40%
  6. ₹756
  7. ₹930
  8. 15%
  9. 168
  10. 140
  11. ₹1224
  12. 600
  13. 3
  14. 50
  15. 10%
  16. 14
  17. ₹672
  18. 30%
  19. 10%
  20. 576
  21. 30%
  22. ₹750
  23. 30%
  24. 5%
  25. 15%
  26. 24
  27. ₹440
  28. 38
  29. 20%
  30. 5%
  31. ₹810
  32. ₹288
  33. 14
  34. 135
  35. 5%
  36. ₹1190
  37. ₹1162
  38. 15%
  39. 10%
  40. 15%

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