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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 929 · 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.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  4. 4.7 : 12 = 56 : ?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Divide ₹810 between Meera and Isha in the ratio 8 : 7. How much does Isha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.Divide ₹672 between Nisha and Karan in the ratio 9 : 7. How much does Karan get (in ₹)?
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  13. 13.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  14. 14.3 : 2 = 9 : ?
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.10 : 15 = 50 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  19. 19.Divide ₹91 between Ananya and Aarav in the ratio 5 : 2. How much does Aarav get (in ₹)?
  20. 20.Divide ₹612 between Vivaan and Kabir in the ratio 9 : 8. How much does Kabir get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  23. 23.6 : 12 = 30 : ?
  24. 24.Divide ₹182 between Aarav and Diya in the ratio 4 : 3. How much does Diya get (in ₹)?
  25. 25.6 : 4 = 54 : ?
  26. 26.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  27. 27.12 : 14 = 108 : ?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  30. 30.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  31. 31.8 : 9 = 24 : ?
  32. 32.Divide ₹28 between Ishaan and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  33. 33.4 : 6 = 32 : ?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.7 : 6 = 14 : ?
  36. 36.Divide ₹550 between Diya and Isha in the ratio 9 : 2. How much does Diya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  39. 39.Divide ₹45 between Arjun and Rahul in the ratio 2 : 3. How much does Rahul get (in ₹)?
  40. 40.3 : 9 = 12 : ?

Answer key

  1. 144
  2. 8
  3. 12
  4. 96
  5. 24
  6. 378
  7. 70
  8. 49
  9. 175
  10. 294
  11. 48
  12. 28
  13. 20
  14. 6
  15. 16
  16. 75
  17. 24
  18. 12
  19. 26
  20. 288
  21. 60
  22. 56
  23. 60
  24. 78
  25. 36
  26. 45
  27. 126
  28. 18
  29. 112
  30. 45
  31. 27
  32. 21
  33. 48
  34. 75
  35. 12
  36. 450
  37. 30
  38. 6
  39. 27
  40. 36

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