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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 372 · 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 ₹220 is sold at a 10% discount. What is its selling price? (a) ₹22 (b) ₹242 (c) ₹198 (d) ₹210
  2. 2.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  3. 3.A shopkeeper buys a toy for ₹140 and sells it for ₹210. What is his profit percent? (a) 55% (b) 50% (c) 70% (d) 45%
  4. 4.What is 60% of 160? (a) 960 (b) 96 (c) 192 (d) 64
  5. 5.A bag marked ₹1500 is sold at a 40% discount. What is its selling price? (a) ₹600 (b) ₹1460 (c) ₹2100 (d) ₹900
  6. 6.A bag marked ₹1840 is sold at a 10% discount. What is its selling price? (a) ₹2024 (b) ₹1656 (c) ₹184 (d) ₹1830
  7. 7.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  8. 8.A shopkeeper buys a toy for ₹760 and sells it for ₹1064. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  9. 9.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 33% (b) 20% (c) 10% (d) 15%
  10. 10.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 13% (b) 6% (c) 5% (d) 10%
  11. 11.A bag marked ₹820 is sold at a 30% discount. What is its selling price? (a) ₹1066 (b) ₹246 (c) ₹790 (d) ₹574
  12. 12.A shopkeeper buys a toy for ₹520 and sells it for ₹312. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  13. 13.What is 30% of 980? (a) 2940 (b) 686 (c) 588 (d) 294
  14. 14.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 30% (b) 6% (c) 10% (d) 5%
  15. 15.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 4% (b) 10% (c) 5% (d) 6%
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹700. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  17. 17.A shopkeeper buys a toy for ₹660 and sells it for ₹627. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 33%
  18. 18.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 69%
  19. 19.A bag marked ₹1100 is sold at a 50% discount. What is its selling price? (a) ₹1050 (b) ₹1650 (c) ₹551 (d) ₹550
  20. 20.A bag marked ₹1740 is sold at a 30% discount. What is its selling price? (a) ₹1218 (b) ₹1710 (c) ₹522 (d) ₹2262
  21. 21.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 15% (b) 58% (c) 10% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 25% (b) 20% (c) 80% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 30% (b) 15% (c) 10% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  25. 25.A shopkeeper buys a toy for ₹560 and sells it for ₹700. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹880 and sells it for ₹792. What is his loss percent? (a) 5% (b) 10% (c) 88% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 15% (b) 34% (c) 5% (d) 10%
  28. 28.What is 25% of 620? (a) 310 (b) 465 (c) 155 (d) 1550
  29. 29.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 45%
  31. 31.What is 5% of 940? (a) 94 (b) 893 (c) 47 (d) 470
  32. 32.What is 30% of 360? (a) 108 (b) 252 (c) 216 (d) 1080
  33. 33.What is 50% of 600? (a) 300 (b) 600 (c) 301 (d) 3000
  34. 34.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 60% (b) 10% (c) 15% (d) 5%
  35. 35.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹72 (b) ₹408 (c) ₹465 (d) ₹552
  36. 36.A bag marked ₹460 is sold at a 15% discount. What is its selling price? (a) ₹445 (b) ₹391 (c) ₹69 (d) ₹529
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹390. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  38. 38.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 35% (b) 30% (c) 36% (d) 25%
  39. 39.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
  40. 40.What is 15% of 940? (a) 1410 (b) 799 (c) 282 (d) 141

Answer key

  1. ₹198
  2. 30%
  3. 50%
  4. 96
  5. ₹900
  6. ₹1656
  7. 25%
  8. 40%
  9. 15%
  10. 5%
  11. ₹574
  12. 40%
  13. 294
  14. 5%
  15. 5%
  16. 30%
  17. 5%
  18. 15%
  19. ₹550
  20. ₹1218
  21. 10%
  22. 25%
  23. 15%
  24. 50%
  25. 25%
  26. 10%
  27. 10%
  28. 155
  29. 30%
  30. 15%
  31. 47
  32. 108
  33. 300
  34. 10%
  35. ₹408
  36. ₹391
  37. 50%
  38. 30%
  39. 50%
  40. 141

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