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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 810 · 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 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.10 : 15 = 80 : ?
  4. 4.6 : 15 = 36 : ?
  5. 5.Divide ₹136 between Dev and Ishaan in the ratio 1 : 7. How much does Dev get (in ₹)?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  8. 8.Divide ₹306 between Farhan and Karan in the ratio 1 : 8. How much does Karan get (in ₹)?
  9. 9.4 : 14 = 36 : ?
  10. 10.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  11. 11.Divide ₹275 between Isha and Sneha in the ratio 8 : 3. How much does Isha get (in ₹)?
  12. 12.7 : 6 = 35 : ?
  13. 13.2 : 5 = 14 : ?
  14. 14.4 : 11 = 16 : ?
  15. 15.7 : 14 = 49 : ?
  16. 16.9 : 12 = 36 : ?
  17. 17.10 : 14 = 20 : ?
  18. 18.9 : 11 = 72 : ?
  19. 19.5 : 2 = 35 : ?
  20. 20.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  21. 21.Divide ₹322 between Dev and Kavya in the ratio 9 : 5. How much does Kavya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  23. 23.Divide ₹315 between Dev and Vivaan in the ratio 7 : 8. How much does Vivaan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  25. 25.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  26. 26.Divide ₹513 between Aarav and Ishaan in the ratio 2 : 7. How much does Aarav get (in ₹)?
  27. 27.Divide ₹171 between Tara and Arjun in the ratio 2 : 7. How much does Arjun get (in ₹)?
  28. 28.Divide ₹88 between Karan and Aditya in the ratio 2 : 9. How much does Karan get (in ₹)?
  29. 29.7 : 3 = 28 : ?
  30. 30.Divide ₹126 between Pooja and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  31. 31.12 : 8 = 84 : ?
  32. 32.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  33. 33.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  34. 34.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  35. 35.2 : 6 = 4 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  39. 39.2 : 3 = 8 : ?
  40. 40.Divide ₹171 between Aarav and Kavya in the ratio 2 : 7. How much does Kavya get (in ₹)?

Answer key

  1. 36
  2. 45
  3. 120
  4. 90
  5. 17
  6. 72
  7. 28
  8. 272
  9. 126
  10. 56
  11. 200
  12. 30
  13. 35
  14. 44
  15. 98
  16. 48
  17. 28
  18. 88
  19. 14
  20. 14
  21. 115
  22. 24
  23. 168
  24. 45
  25. 24
  26. 114
  27. 133
  28. 16
  29. 12
  30. 36
  31. 56
  32. 100
  33. 16
  34. 12
  35. 12
  36. 15
  37. 225
  38. 80
  39. 12
  40. 133

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