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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 294 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

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  1. 1.5 : 4 = 30 : ?
  2. 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.Divide ₹117 between Karan and Aarav in the ratio 2 : 1. How much does Karan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.7 : 13 = 56 : ?
  8. 8.Divide ₹220 between Vivaan and Karan in the ratio 3 : 1. How much does Karan get (in ₹)?
  9. 9.Divide ₹552 between Kabir and Diya in the ratio 7 : 5. How much does Kabir get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  13. 13.4 : 2 = 28 : ?
  14. 14.2 : 3 = 16 : ?
  15. 15.Divide ₹352 between Priya and Vivaan in the ratio 8 : 3. How much does Vivaan get (in ₹)?
  16. 16.Divide ₹360 between Farhan and Zoya in the ratio 7 : 2. How much does Farhan get (in ₹)?
  17. 17.11 : 4 = 66 : ?
  18. 18.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.11 : 14 = 55 : ?
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.Divide ₹120 between Diya and Priya in the ratio 7 : 3. How much does Diya get (in ₹)?
  23. 23.7 : 14 = 28 : ?
  24. 24.3 : 7 = 18 : ?
  25. 25.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  26. 26.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  27. 27.Divide ₹180 between Ananya and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  28. 28.3 : 8 = 15 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  30. 30.Divide ₹649 between Rahul and Saanvi in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  34. 34.Divide ₹171 between Diya and Saanvi in the ratio 8 : 1. How much does Diya get (in ₹)?
  35. 35.3 : 9 = 9 : ?
  36. 36.Divide ₹392 between Vivaan and Saanvi in the ratio 5 : 9. How much does Saanvi get (in ₹)?
  37. 37.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  38. 38.Divide ₹255 between Dev and Ananya in the ratio 7 : 8. How much does Dev get (in ₹)?
  39. 39.3 : 13 = 15 : ?
  40. 40.Divide ₹84 between Aarav and Kavya in the ratio 1 : 6. How much does Aarav get (in ₹)?

Answer key

  1. 24
  2. 200
  3. 20
  4. 78
  5. 5
  6. 72
  7. 104
  8. 55
  9. 322
  10. 12
  11. 6
  12. 20
  13. 14
  14. 24
  15. 96
  16. 280
  17. 24
  18. 7
  19. 175
  20. 70
  21. 63
  22. 84
  23. 56
  24. 42
  25. 96
  26. 48
  27. 144
  28. 40
  29. 21
  30. 413
  31. 36
  32. 25
  33. 50
  34. 152
  35. 27
  36. 252
  37. 75
  38. 119
  39. 65
  40. 12

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