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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 642 · 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 ₹300 and sells it for ₹285. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹860 and sells it for ₹1118. What is his profit percent? (a) 35% (b) 31% (c) 30% (d) 25%
  3. 3.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 93%
  4. 4.What is 60% of 980? (a) 588 (b) 5880 (c) 392 (d) 1176
  5. 5.A shopkeeper buys a toy for ₹900 and sells it for ₹1125. What is his profit percent? (a) 26% (b) 20% (c) 25% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 25% (b) 30% (c) 20% (d) 85%
  7. 7.A shopkeeper buys a toy for ₹860 and sells it for ₹1075. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  8. 8.A bag marked ₹260 is sold at a 30% discount. What is its selling price? (a) ₹182 (b) ₹338 (c) ₹78 (d) ₹230
  9. 9.What is 75% of 100? (a) 150 (b) 25 (c) 75 (d) 750
  10. 10.What is 5% of 900? (a) 90 (b) 45 (c) 855 (d) 450
  11. 11.A bag marked ₹380 is sold at a 20% discount. What is its selling price? (a) ₹456 (b) ₹76 (c) ₹304 (d) ₹360
  12. 12.What is 5% of 700? (a) 665 (b) 350 (c) 70 (d) 35
  13. 13.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  14. 14.What is 60% of 280? (a) 1680 (b) 336 (c) 168 (d) 112
  15. 15.What is 20% of 720? (a) 576 (b) 288 (c) 1440 (d) 144
  16. 16.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹1705 (b) ₹258 (c) ₹1462 (d) ₹1978
  17. 17.What is 15% of 840? (a) 714 (b) 1260 (c) 252 (d) 126
  18. 18.What is 75% of 300? (a) 2250 (b) 75 (c) 225 (d) 450
  19. 19.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 90%
  20. 20.A bag marked ₹1720 is sold at a 30% discount. What is its selling price? (a) ₹1204 (b) ₹2236 (c) ₹1690 (d) ₹516
  21. 21.What is 5% of 960? (a) 48 (b) 912 (c) 480 (d) 96
  22. 22.What is 60% of 500? (a) 300 (b) 600 (c) 3000 (d) 200
  23. 23.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 5% (b) 10% (c) 42% (d) 15%
  24. 24.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 5% (b) 4% (c) 10% (d) 6%
  25. 25.A bag marked ₹1500 is sold at a 30% discount. What is its selling price? (a) ₹1950 (b) ₹1050 (c) ₹1470 (d) ₹450
  26. 26.A bag marked ₹1380 is sold at a 20% discount. What is its selling price? (a) ₹276 (b) ₹1656 (c) ₹1360 (d) ₹1104
  27. 27.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 75% (b) 30% (c) 20% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 5% (b) 15% (c) 74% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹580 and sells it for ₹464. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  31. 31.What is 40% of 780? (a) 624 (b) 3120 (c) 468 (d) 312
  32. 32.A bag marked ₹1300 is sold at a 30% discount. What is its selling price? (a) ₹910 (b) ₹1690 (c) ₹1270 (d) ₹390
  33. 33.What is 50% of 940? (a) 4700 (b) 940 (c) 470 (d) 471
  34. 34.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 5% (b) 15% (c) 98% (d) 10%
  35. 35.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹510 (b) ₹2210 (c) ₹1190 (d) ₹1670
  36. 36.A bag marked ₹1180 is sold at a 20% discount. What is its selling price? (a) ₹1416 (b) ₹236 (c) ₹1160 (d) ₹944
  37. 37.A bag marked ₹1040 is sold at a 40% discount. What is its selling price? (a) ₹1456 (b) ₹416 (c) ₹624 (d) ₹1000
  38. 38.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  39. 39.A bag marked ₹1900 is sold at a 10% discount. What is its selling price? (a) ₹2090 (b) ₹1890 (c) ₹1710 (d) ₹190
  40. 40.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 6% (b) 10% (c) 40% (d) 5%

Answer key

  1. 5%
  2. 30%
  3. 15%
  4. 588
  5. 25%
  6. 25%
  7. 25%
  8. ₹182
  9. 75
  10. 45
  11. ₹304
  12. 35
  13. 25%
  14. 168
  15. 144
  16. ₹1462
  17. 126
  18. 225
  19. 25%
  20. ₹1204
  21. 48
  22. 300
  23. 10%
  24. 5%
  25. ₹1050
  26. ₹1104
  27. 25%
  28. 10%
  29. 25%
  30. 20%
  31. 312
  32. ₹910
  33. 470
  34. 10%
  35. ₹1190
  36. ₹944
  37. ₹624
  38. 40%
  39. ₹1710
  40. 5%

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