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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 445 · 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. 1.8 : 14 = 72 : ?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.Divide ₹275 between Priya and Farhan in the ratio 2 : 9. How much does Priya get (in ₹)?
  4. 4.9 : 5 = 63 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  6. 6.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  7. 7.Divide ₹169 between Pooja and Manav in the ratio 6 : 7. How much does Pooja get (in ₹)?
  8. 8.12 : 9 = 60 : ?
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.Divide ₹550 between Tara and Sneha in the ratio 3 : 7. How much does Sneha get (in ₹)?
  11. 11.2 : 14 = 6 : ?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  14. 14.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  15. 15.Divide ₹125 between Sneha and Isha in the ratio 1 : 4. How much does Sneha get (in ₹)?
  16. 16.Divide ₹168 between Meera and Priya in the ratio 5 : 3. How much does Priya get (in ₹)?
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  20. 20.Divide ₹441 between Karan and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  21. 21.Divide ₹374 between Rahul and Karan in the ratio 4 : 7. How much does Rahul get (in ₹)?
  22. 22.5 : 8 = 30 : ?
  23. 23.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  26. 26.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  27. 27.2 : 6 = 14 : ?
  28. 28.6 : 13 = 48 : ?
  29. 29.10 : 12 = 30 : ?
  30. 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  31. 31.12 : 6 = 60 : ?
  32. 32.11 : 15 = 22 : ?
  33. 33.4 : 10 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  35. 35.Divide ₹440 between Rahul and Manav in the ratio 7 : 3. How much does Manav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  37. 37.4 : 12 = 24 : ?
  38. 38.4 : 12 = 36 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  40. 40.Divide ₹220 between Diya and Isha in the ratio 8 : 3. How much does Diya get (in ₹)?

Answer key

  1. 126
  2. 12
  3. 50
  4. 35
  5. 63
  6. 27
  7. 78
  8. 45
  9. 64
  10. 385
  11. 42
  12. 50
  13. 24
  14. 80
  15. 25
  16. 63
  17. 48
  18. 128
  19. 4
  20. 98
  21. 136
  22. 48
  23. 14
  24. 21
  25. 32
  26. 8
  27. 42
  28. 104
  29. 36
  30. 54
  31. 30
  32. 30
  33. 50
  34. 24
  35. 132
  36. 10
  37. 72
  38. 108
  39. 35
  40. 160

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