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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 896 · 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 ₹1340 is sold at a 50% discount. What is its selling price? (a) ₹670 (b) ₹1290 (c) ₹671 (d) ₹2010
  2. 2.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  3. 3.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 98% (b) 15% (c) 10% (d) 5%
  4. 4.What is 10% of 100? (a) 20 (b) 100 (c) 90 (d) 10
  5. 5.A shopkeeper buys a toy for ₹980 and sells it for ₹1176. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  7. 7.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  8. 8.A bag marked ₹1820 is sold at a 15% discount. What is its selling price? (a) ₹273 (b) ₹1547 (c) ₹2093 (d) ₹1805
  9. 9.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  10. 10.What is 20% of 700? (a) 140 (b) 560 (c) 1400 (d) 280
  11. 11.A bag marked ₹1560 is sold at a 30% discount. What is its selling price? (a) ₹2028 (b) ₹468 (c) ₹1530 (d) ₹1092
  12. 12.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 16%
  13. 13.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 15% (b) 20% (c) 21% (d) 25%
  14. 14.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 92% (b) 5% (c) 15% (d) 10%
  15. 15.A bag marked ₹920 is sold at a 50% discount. What is its selling price? (a) ₹870 (b) ₹1380 (c) ₹461 (d) ₹460
  16. 16.What is 30% of 460? (a) 1380 (b) 322 (c) 138 (d) 276
  17. 17.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 7%
  18. 18.A shopkeeper buys a toy for ₹540 and sells it for ₹675. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  19. 19.What is 15% of 400? (a) 600 (b) 120 (c) 340 (d) 60
  20. 20.A shopkeeper buys a toy for ₹100 and sells it for ₹150. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  21. 21.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 10% (b) 33% (c) 15% (d) 20%
  22. 22.A shopkeeper buys a toy for ₹820 and sells it for ₹861. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 41%
  23. 23.A shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  24. 24.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 35%
  25. 25.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 11% (b) 15% (c) 5% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 52% (b) 15% (c) 20% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 36% (b) 15% (c) 20% (d) 10%
  28. 28.What is 50% of 160? (a) 800 (b) 80 (c) 81 (d) 160
  29. 29.What is 60% of 640? (a) 384 (b) 256 (c) 768 (d) 3840
  30. 30.What is 30% of 420? (a) 1260 (b) 294 (c) 126 (d) 252
  31. 31.A bag marked ₹1420 is sold at a 25% discount. What is its selling price? (a) ₹1775 (b) ₹1065 (c) ₹1395 (d) ₹355
  32. 32.A shopkeeper buys a toy for ₹340 and sells it for ₹425. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 85%
  33. 33.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 26%
  34. 34.A bag marked ₹360 is sold at a 25% discount. What is its selling price? (a) ₹450 (b) ₹90 (c) ₹335 (d) ₹270
  35. 35.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 39% (b) 10% (c) 20% (d) 15%
  36. 36.A bag marked ₹2000 is sold at a 40% discount. What is its selling price? (a) ₹1200 (b) ₹2800 (c) ₹1960 (d) ₹800
  37. 37.A bag marked ₹1940 is sold at a 25% discount. What is its selling price? (a) ₹2425 (b) ₹485 (c) ₹1915 (d) ₹1455
  38. 38.A shopkeeper buys a toy for ₹900 and sells it for ₹1350. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  39. 39.What is 60% of 240? (a) 288 (b) 96 (c) 1440 (d) 144
  40. 40.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%

Answer key

  1. ₹670
  2. 20%
  3. 10%
  4. 10
  5. 20%
  6. 30%
  7. 25%
  8. ₹1547
  9. 30%
  10. 140
  11. ₹1092
  12. 15%
  13. 20%
  14. 10%
  15. ₹460
  16. 138
  17. 5%
  18. 25%
  19. 60
  20. 50%
  21. 15%
  22. 5%
  23. 40%
  24. 5%
  25. 10%
  26. 20%
  27. 15%
  28. 80
  29. 384
  30. 126
  31. ₹1065
  32. 25%
  33. 25%
  34. ₹270
  35. 15%
  36. ₹1200
  37. ₹1455
  38. 50%
  39. 144
  40. 50%

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