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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 552 · 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 ₹1000 and sells it for ₹1300. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 26% (b) 10% (c) 6% (d) 5%
  3. 3.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 10% (b) 15% (c) 18% (d) 20%
  4. 4.What is 10% of 680? (a) 68 (b) 612 (c) 680 (d) 136
  5. 5.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 15% (b) 20% (c) 64% (d) 25%
  6. 6.What is 5% of 740? (a) 37 (b) 703 (c) 74 (d) 370
  7. 7.What is 10% of 360? (a) 324 (b) 360 (c) 36 (d) 72
  8. 8.What is 5% of 560? (a) 28 (b) 532 (c) 280 (d) 56
  9. 9.What is 60% of 300? (a) 120 (b) 180 (c) 1800 (d) 360
  10. 10.A bag marked ₹500 is sold at a 25% discount. What is its selling price? (a) ₹625 (b) ₹475 (c) ₹125 (d) ₹375
  11. 11.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹48 (b) ₹368 (c) ₹305 (d) ₹272
  12. 12.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹435 (b) ₹1305 (c) ₹2175 (d) ₹1715
  13. 13.What is 20% of 300? (a) 240 (b) 60 (c) 120 (d) 600
  14. 14.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 24%
  15. 15.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 45% (b) 40% (c) 35% (d) 41%
  16. 16.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  17. 17.What is 30% of 240? (a) 168 (b) 72 (c) 720 (d) 144
  18. 18.What is 5% of 420? (a) 399 (b) 21 (c) 210 (d) 42
  19. 19.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹845 (b) ₹731 (c) ₹989 (d) ₹129
  20. 20.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 5%
  21. 21.A shopkeeper buys a toy for ₹400 and sells it for ₹560. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  22. 22.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 82% (b) 10% (c) 5% (d) 15%
  23. 23.A bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹690 (b) ₹230 (c) ₹231 (d) ₹410
  24. 24.What is 60% of 620? (a) 744 (b) 372 (c) 3720 (d) 248
  25. 25.A bag marked ₹1480 is sold at a 15% discount. What is its selling price? (a) ₹1702 (b) ₹1465 (c) ₹1258 (d) ₹222
  26. 26.What is 50% of 640? (a) 3200 (b) 640 (c) 320 (d) 321
  27. 27.A bag marked ₹340 is sold at a 30% discount. What is its selling price? (a) ₹102 (b) ₹238 (c) ₹310 (d) ₹442
  28. 28.What is 15% of 680? (a) 204 (b) 102 (c) 578 (d) 1020
  29. 29.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹780 and sells it for ₹624. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  31. 31.What is 40% of 160? (a) 128 (b) 640 (c) 64 (d) 96
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 41%
  33. 33.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  34. 34.What is 75% of 540? (a) 135 (b) 405 (c) 810 (d) 4050
  35. 35.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 15% (b) 78% (c) 5% (d) 10%
  36. 36.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 16%
  37. 37.A bag marked ₹1360 is sold at a 15% discount. What is its selling price? (a) ₹1156 (b) ₹204 (c) ₹1345 (d) ₹1564
  38. 38.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 18%
  39. 39.A bag marked ₹440 is sold at a 40% discount. What is its selling price? (a) ₹400 (b) ₹616 (c) ₹264 (d) ₹176
  40. 40.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 5% (b) 7% (c) 10% (d) 6%

Answer key

  1. 30%
  2. 5%
  3. 15%
  4. 68
  5. 20%
  6. 37
  7. 36
  8. 28
  9. 180
  10. ₹375
  11. ₹272
  12. ₹1305
  13. 60
  14. 10%
  15. 40%
  16. 30%
  17. 72
  18. 21
  19. ₹731
  20. 10%
  21. 40%
  22. 10%
  23. ₹230
  24. 372
  25. ₹1258
  26. 320
  27. ₹238
  28. 102
  29. 30%
  30. 20%
  31. 64
  32. 40%
  33. 30%
  34. 405
  35. 10%
  36. 5%
  37. ₹1156
  38. 15%
  39. ₹264
  40. 5%

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