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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 74 · 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.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  2. 2.12 : 14 = 108 : ?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.7 : 3 = 49 : ?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  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 3 : 5. There are 30 boys. How many girls are there?
  9. 9.Divide ₹143 between Saanvi and Rohan in the ratio 7 : 6. How much does Rohan get (in ₹)?
  10. 10.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  12. 12.Divide ₹187 between Priya and Ananya in the ratio 9 : 2. How much does Priya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  15. 15.Divide ₹78 between Sneha and Nisha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  16. 16.12 : 4 = 108 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  18. 18.12 : 6 = 96 : ?
  19. 19.Divide ₹264 between Tara and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  20. 20.9 : 8 = 54 : ?
  21. 21.4 : 7 = 20 : ?
  22. 22.8 : 5 = 32 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  24. 24.Divide ₹850 between Dev and Kavya in the ratio 8 : 9. How much does Kavya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  27. 27.Divide ₹952 between Meera and Aditya in the ratio 9 : 8. How much does Aditya get (in ₹)?
  28. 28.Divide ₹25 between Arjun and Tara in the ratio 2 : 3. How much does Arjun get (in ₹)?
  29. 29.Divide ₹708 between Kavya and Vivaan in the ratio 7 : 5. How much does Kavya get (in ₹)?
  30. 30.2 : 3 = 10 : ?
  31. 31.Divide ₹120 between Kabir and Meera in the ratio 7 : 5. How much does Meera get (in ₹)?
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.Divide ₹104 between Sneha and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  35. 35.4 : 3 = 20 : ?
  36. 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  37. 37.11 : 5 = 22 : ?
  38. 38.Divide ₹100 between Zoya and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
  39. 39.8 : 15 = 48 : ?
  40. 40.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?

Answer key

  1. 72
  2. 126
  3. 80
  4. 21
  5. 24
  6. 96
  7. 36
  8. 50
  9. 66
  10. 8
  11. 81
  12. 153
  13. 56
  14. 36
  15. 52
  16. 36
  17. 6
  18. 48
  19. 33
  20. 48
  21. 35
  22. 20
  23. 48
  24. 450
  25. 6
  26. 18
  27. 448
  28. 10
  29. 413
  30. 15
  31. 50
  32. 12
  33. 32
  34. 14
  35. 15
  36. 36
  37. 10
  38. 30
  39. 90
  40. 20

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