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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 660 · 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 ₹580 is sold at a 50% discount. What is its selling price? (a) ₹291 (b) ₹530 (c) ₹290 (d) ₹870
  2. 2.What is 30% of 480? (a) 144 (b) 336 (c) 288 (d) 1440
  3. 3.What is 20% of 980? (a) 784 (b) 392 (c) 196 (d) 1960
  4. 4.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹80 (b) ₹240 (c) ₹400 (d) ₹295
  5. 5.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 15% (b) 88% (c) 10% (d) 5%
  6. 6.What is 5% of 840? (a) 84 (b) 420 (c) 42 (d) 798
  7. 7.A bag marked ₹1960 is sold at a 50% discount. What is its selling price? (a) ₹981 (b) ₹980 (c) ₹2940 (d) ₹1910
  8. 8.A shopkeeper buys a toy for ₹400 and sells it for ₹440. What is his profit percent? (a) 40% (b) 5% (c) 15% (d) 10%
  9. 9.What is 15% of 580? (a) 870 (b) 174 (c) 493 (d) 87
  10. 10.What is 75% of 560? (a) 140 (b) 420 (c) 4200 (d) 840
  11. 11.What is 40% of 820? (a) 656 (b) 492 (c) 328 (d) 3280
  12. 12.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  13. 13.What is 10% of 760? (a) 76 (b) 152 (c) 684 (d) 760
  14. 14.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  15. 15.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹250 (b) ₹364 (c) ₹196 (d) ₹84
  16. 16.A bag marked ₹620 is sold at a 15% discount. What is its selling price? (a) ₹605 (b) ₹93 (c) ₹713 (d) ₹527
  17. 17.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  18. 18.What is 30% of 640? (a) 448 (b) 192 (c) 384 (d) 1920
  19. 19.A bag marked ₹200 is sold at a 15% discount. What is its selling price? (a) ₹230 (b) ₹170 (c) ₹185 (d) ₹30
  20. 20.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  21. 21.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 6% (b) 10% (c) 11% (d) 5%
  22. 22.What is 50% of 540? (a) 271 (b) 2700 (c) 540 (d) 270
  23. 23.A bag marked ₹1400 is sold at a 30% discount. What is its selling price? (a) ₹1370 (b) ₹980 (c) ₹420 (d) ₹1820
  24. 24.What is 5% of 620? (a) 62 (b) 31 (c) 589 (d) 310
  25. 25.A shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 47%
  26. 26.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 15% (b) 21% (c) 20% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 25% (b) 20% (c) 50% (d) 30%
  28. 28.A shopkeeper buys a toy for ₹920 and sells it for ₹1380. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  29. 29.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹585 (b) ₹510 (c) ₹690 (d) ₹90
  30. 30.A shopkeeper buys a toy for ₹240 and sells it for ₹360. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  31. 31.A shopkeeper buys a toy for ₹720 and sells it for ₹540. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  32. 32.What is 50% of 420? (a) 211 (b) 2100 (c) 420 (d) 210
  33. 33.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹142 (b) ₹1278 (c) ₹1410 (d) ₹1562
  34. 34.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 93% (b) 20% (c) 10% (d) 15%
  35. 35.A bag marked ₹320 is sold at a 30% discount. What is its selling price? (a) ₹224 (b) ₹416 (c) ₹290 (d) ₹96
  36. 36.What is 15% of 460? (a) 69 (b) 690 (c) 138 (d) 391
  37. 37.What is 10% of 160? (a) 160 (b) 16 (c) 144 (d) 32
  38. 38.What is 75% of 820? (a) 205 (b) 6150 (c) 615 (d) 1230
  39. 39.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹500 and sells it for ₹350. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%

Answer key

  1. ₹290
  2. 144
  3. 196
  4. ₹240
  5. 10%
  6. 42
  7. ₹980
  8. 10%
  9. 87
  10. 420
  11. 328
  12. 30%
  13. 76
  14. 40%
  15. ₹196
  16. ₹527
  17. 25%
  18. 192
  19. ₹170
  20. 30%
  21. 5%
  22. 270
  23. ₹980
  24. 31
  25. 5%
  26. 20%
  27. 25%
  28. 50%
  29. ₹510
  30. 50%
  31. 25%
  32. 210
  33. ₹1278
  34. 15%
  35. ₹224
  36. 69
  37. 16
  38. 615
  39. 25%
  40. 30%

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