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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 794 · 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 ₹1780 is sold at a 20% discount. What is its selling price? (a) ₹1760 (b) ₹1424 (c) ₹2136 (d) ₹356
  2. 2.A bag marked ₹1040 is sold at a 25% discount. What is its selling price? (a) ₹1015 (b) ₹1300 (c) ₹260 (d) ₹780
  3. 3.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 48% (b) 10% (c) 20% (d) 15%
  4. 4.A shopkeeper buys a toy for ₹360 and sells it for ₹504. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  5. 5.A shopkeeper buys a toy for ₹680 and sells it for ₹408. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  6. 6.A shopkeeper buys a toy for ₹640 and sells it for ₹960. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  7. 7.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  8. 8.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹50 (b) ₹250 (c) ₹175 (d) ₹150
  9. 9.What is 50% of 500? (a) 251 (b) 250 (c) 500 (d) 2500
  10. 10.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  11. 11.A bag marked ₹1180 is sold at a 40% discount. What is its selling price? (a) ₹472 (b) ₹1140 (c) ₹1652 (d) ₹708
  12. 12.What is 5% of 680? (a) 68 (b) 646 (c) 34 (d) 340
  13. 13.A shopkeeper buys a toy for ₹220 and sells it for ₹264. What is his profit percent? (a) 44% (b) 20% (c) 15% (d) 25%
  14. 14.A shopkeeper buys a toy for ₹820 and sells it for ₹902. What is his profit percent? (a) 15% (b) 82% (c) 5% (d) 10%
  15. 15.A bag marked ₹1840 is sold at a 15% discount. What is its selling price? (a) ₹2116 (b) ₹276 (c) ₹1825 (d) ₹1564
  16. 16.What is 5% of 600? (a) 570 (b) 30 (c) 300 (d) 60
  17. 17.A shopkeeper buys a toy for ₹440 and sells it for ₹264. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  18. 18.What is 20% of 220? (a) 440 (b) 44 (c) 88 (d) 176
  19. 19.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹322 (b) ₹265 (c) ₹238 (d) ₹42
  20. 20.What is 75% of 980? (a) 245 (b) 1470 (c) 7350 (d) 735
  21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 5% (b) 15% (c) 11% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹620 and sells it for ₹372. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
  23. 23.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 39%
  24. 24.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 15% (b) 20% (c) 21% (d) 25%
  25. 25.What is 15% of 220? (a) 66 (b) 33 (c) 330 (d) 187
  26. 26.What is 75% of 920? (a) 690 (b) 1380 (c) 230 (d) 6900
  27. 27.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 6% (b) 35% (c) 5% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 15% (b) 20% (c) 21% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 5% (b) 10% (c) 11% (d) 6%
  31. 31.What is 10% of 760? (a) 760 (b) 684 (c) 152 (d) 76
  32. 32.A shopkeeper buys a toy for ₹480 and sells it for ₹576. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 96%
  33. 33.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
  34. 34.A bag marked ₹1380 is sold at a 10% discount. What is its selling price? (a) ₹1518 (b) ₹1370 (c) ₹1242 (d) ₹138
  35. 35.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹84 (b) ₹250 (c) ₹364 (d) ₹196
  36. 36.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  37. 37.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  38. 38.What is 20% of 400? (a) 800 (b) 320 (c) 160 (d) 80
  39. 39.What is 60% of 160? (a) 96 (b) 960 (c) 64 (d) 192
  40. 40.A bag marked ₹2000 is sold at a 25% discount. What is its selling price? (a) ₹1975 (b) ₹2500 (c) ₹1500 (d) ₹500

Answer key

  1. ₹1424
  2. ₹780
  3. 15%
  4. 40%
  5. 40%
  6. 50%
  7. 25%
  8. ₹150
  9. 250
  10. 25%
  11. ₹708
  12. 34
  13. 20%
  14. 10%
  15. ₹1564
  16. 30
  17. 40%
  18. 44
  19. ₹238
  20. 735
  21. 10%
  22. 40%
  23. 5%
  24. 20%
  25. 33
  26. 690
  27. 25%
  28. 5%
  29. 20%
  30. 5%
  31. 76
  32. 20%
  33. 15%
  34. ₹1242
  35. ₹196
  36. 50%
  37. 30%
  38. 80
  39. 96
  40. ₹1500

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