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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 184 · 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 8 and 24 (that is, 8 : 24 = 24 : ?).
  2. 2.Divide ₹96 between Vivaan and Kavya in the ratio 9 : 7. How much does Vivaan get (in ₹)?
  3. 3.Divide ₹224 between Sneha and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  4. 4.4 : 8 = 12 : ?
  5. 5.4 : 14 = 24 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  7. 7.Divide ₹572 between Saanvi and Kavya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  8. 8.Divide ₹429 between Zoya and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  13. 13.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  15. 15.3 : 11 = 6 : ?
  16. 16.4 : 2 = 8 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  18. 18.6 : 13 = 24 : ?
  19. 19.Divide ₹264 between Kavya and Aarav in the ratio 9 : 2. How much does Aarav get (in ₹)?
  20. 20.5 : 10 = 40 : ?
  21. 21.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  22. 22.8 : 9 = 16 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  24. 24.Divide ₹130 between Pooja and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
  25. 25.6 : 8 = 12 : ?
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.10 : 11 = 30 : ?
  28. 28.10 : 9 = 60 : ?
  29. 29.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  31. 31.3 : 14 = 9 : ?
  32. 32.2 : 11 = 10 : ?
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  34. 34.5 : 4 = 35 : ?
  35. 35.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  37. 37.2 : 11 = 16 : ?
  38. 38.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  39. 39.8 : 2 = 64 : ?
  40. 40.6 : 7 = 12 : ?

Answer key

  1. 72
  2. 54
  3. 196
  4. 24
  5. 84
  6. 12
  7. 468
  8. 351
  9. 36
  10. 12
  11. 16
  12. 24
  13. 8
  14. 12
  15. 22
  16. 4
  17. 16
  18. 52
  19. 48
  20. 80
  21. 48
  22. 18
  23. 36
  24. 40
  25. 16
  26. 20
  27. 33
  28. 54
  29. 42
  30. 3
  31. 42
  32. 55
  33. 14
  34. 28
  35. 6
  36. 40
  37. 88
  38. 2
  39. 16
  40. 14

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