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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 969 · 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.Divide ₹440 between Manav and Isha in the ratio 8 : 3. How much does Manav get (in ₹)?
  2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.9 : 4 = 18 : ?
  6. 6.8 : 2 = 16 : ?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  11. 11.Divide ₹369 between Sneha and Vivaan in the ratio 1 : 8. How much does Sneha get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.Divide ₹45 between Sneha and Tara in the ratio 5 : 4. How much does Tara get (in ₹)?
  16. 16.Divide ₹245 between Manav and Aarav in the ratio 3 : 2. How much does Manav get (in ₹)?
  17. 17.3 : 9 = 12 : ?
  18. 18.Divide ₹110 between Karan and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  19. 19.Divide ₹136 between Diya and Kabir in the ratio 9 : 8. How much does Diya get (in ₹)?
  20. 20.Divide ₹105 between Pooja and Ishaan in the ratio 1 : 6. How much does Pooja get (in ₹)?
  21. 21.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  22. 22.11 : 8 = 33 : ?
  23. 23.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  24. 24.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  25. 25.Divide ₹128 between Kabir and Saanvi in the ratio 5 : 3. How much does Kabir get (in ₹)?
  26. 26.Divide ₹235 between Pooja and Ishaan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹56 between Isha and Priya in the ratio 6 : 1. How much does Priya get (in ₹)?
  28. 28.10 : 4 = 40 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  30. 30.6 : 3 = 18 : ?
  31. 31.6 : 11 = 36 : ?
  32. 32.4 : 11 = 28 : ?
  33. 33.3 : 12 = 27 : ?
  34. 34.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  37. 37.Divide ₹333 between Kabir and Diya in the ratio 7 : 2. How much does Diya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  39. 39.Divide ₹162 between Saanvi and Arjun in the ratio 1 : 5. How much does Arjun get (in ₹)?
  40. 40.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).

Answer key

  1. 320
  2. 28
  3. 112
  4. 80
  5. 8
  6. 4
  7. 36
  8. 60
  9. 4
  10. 49
  11. 41
  12. 40
  13. 32
  14. 8
  15. 20
  16. 147
  17. 36
  18. 20
  19. 72
  20. 15
  21. 18
  22. 24
  23. 48
  24. 54
  25. 80
  26. 94
  27. 8
  28. 16
  29. 18
  30. 9
  31. 66
  32. 77
  33. 108
  34. 63
  35. 9
  36. 32
  37. 74
  38. 70
  39. 135
  40. 20

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