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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 304 · 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 ₹900 and sells it for ₹1035. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 12% (b) 6% (c) 10% (d) 5%
  3. 3.A bag marked ₹500 is sold at a 25% discount. What is its selling price? (a) ₹475 (b) ₹375 (c) ₹625 (d) ₹125
  4. 4.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  5. 5.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  6. 6.A bag marked ₹280 is sold at a 25% discount. What is its selling price? (a) ₹70 (b) ₹255 (c) ₹210 (d) ₹350
  7. 7.A shopkeeper buys a toy for ₹800 and sells it for ₹920. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 16%
  8. 8.A shopkeeper buys a toy for ₹120 and sells it for ₹126. What is his profit percent? (a) 6% (b) 10% (c) 4% (d) 5%
  9. 9.A bag marked ₹400 is sold at a 40% discount. What is its selling price? (a) ₹560 (b) ₹240 (c) ₹360 (d) ₹160
  10. 10.A shopkeeper buys a toy for ₹780 and sells it for ₹1014. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  11. 11.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 20% (b) 25% (c) 28% (d) 15%
  12. 12.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 92% (b) 10% (c) 15% (d) 5%
  13. 13.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  14. 14.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 25% (b) 48% (c) 15% (d) 20%
  15. 15.A bag marked ₹1380 is sold at a 25% discount. What is its selling price? (a) ₹1725 (b) ₹1035 (c) ₹345 (d) ₹1355
  16. 16.What is 25% of 440? (a) 330 (b) 220 (c) 110 (d) 1100
  17. 17.A bag marked ₹1680 is sold at a 25% discount. What is its selling price? (a) ₹2100 (b) ₹1260 (c) ₹420 (d) ₹1655
  18. 18.A bag marked ₹1080 is sold at a 25% discount. What is its selling price? (a) ₹270 (b) ₹1350 (c) ₹810 (d) ₹1055
  19. 19.What is 10% of 680? (a) 68 (b) 136 (c) 612 (d) 680
  20. 20.What is 40% of 920? (a) 3680 (b) 552 (c) 736 (d) 368
  21. 21.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  22. 22.A bag marked ₹1120 is sold at a 15% discount. What is its selling price? (a) ₹1105 (b) ₹168 (c) ₹1288 (d) ₹952
  23. 23.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  24. 24.What is 50% of 880? (a) 440 (b) 4400 (c) 441 (d) 880
  25. 25.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
  26. 26.A bag marked ₹1500 is sold at a 50% discount. What is its selling price? (a) ₹750 (b) ₹1450 (c) ₹751 (d) ₹2250
  27. 27.What is 25% of 240? (a) 180 (b) 60 (c) 120 (d) 600
  28. 28.What is 50% of 60? (a) 30 (b) 300 (c) 60 (d) 31
  29. 29.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 24% (b) 15% (c) 5% (d) 10%
  30. 30.What is 5% of 180? (a) 171 (b) 18 (c) 90 (d) 9
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 27% (b) 10% (c) 6% (d) 5%
  32. 32.A shopkeeper buys a toy for ₹120 and sells it for ₹96. What is his loss percent? (a) 15% (b) 25% (c) 24% (d) 20%
  33. 33.A bag marked ₹2000 is sold at a 25% discount. What is its selling price? (a) ₹500 (b) ₹1975 (c) ₹2500 (d) ₹1500
  34. 34.What is 5% of 900? (a) 855 (b) 90 (c) 45 (d) 450
  35. 35.A bag marked ₹1800 is sold at a 20% discount. What is its selling price? (a) ₹1780 (b) ₹1440 (c) ₹360 (d) ₹2160
  36. 36.A bag marked ₹1220 is sold at a 30% discount. What is its selling price? (a) ₹1190 (b) ₹1586 (c) ₹366 (d) ₹854
  37. 37.A bag marked ₹1480 is sold at a 50% discount. What is its selling price? (a) ₹2220 (b) ₹741 (c) ₹740 (d) ₹1430
  38. 38.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹2310 (b) ₹771 (c) ₹770 (d) ₹1490
  39. 39.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 20% (b) 54% (c) 10% (d) 15%
  40. 40.A bag marked ₹220 is sold at a 20% discount. What is its selling price? (a) ₹200 (b) ₹44 (c) ₹176 (d) ₹264

Answer key

  1. 15%
  2. 5%
  3. ₹375
  4. 25%
  5. 30%
  6. ₹210
  7. 15%
  8. 5%
  9. ₹240
  10. 30%
  11. 20%
  12. 10%
  13. 40%
  14. 20%
  15. ₹1035
  16. 110
  17. ₹1260
  18. ₹810
  19. 68
  20. 368
  21. 30%
  22. ₹952
  23. 50%
  24. 440
  25. 40%
  26. ₹750
  27. 60
  28. 30
  29. 10%
  30. 9
  31. 5%
  32. 20%
  33. ₹1500
  34. 45
  35. ₹1440
  36. ₹854
  37. ₹740
  38. ₹770
  39. 15%
  40. ₹176

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