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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 795 · 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 1 : 4. There are 9 boys. How many girls are there?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  4. 4.7 : 8 = 28 : ?
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.Divide ₹376 between Diya and Ananya in the ratio 5 : 3. How much does Diya get (in ₹)?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Divide ₹528 between Pooja and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  9. 9.2 : 10 = 12 : ?
  10. 10.12 : 7 = 60 : ?
  11. 11.3 : 14 = 21 : ?
  12. 12.Divide ₹77 between Isha and Meera in the ratio 8 : 3. How much does Isha get (in ₹)?
  13. 13.10 : 9 = 80 : ?
  14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  18. 18.9 : 10 = 18 : ?
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.10 : 4 = 50 : ?
  25. 25.Divide ₹416 between Pooja and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  27. 27.Divide ₹77 between Ananya and Rohan in the ratio 3 : 8. How much does Ananya get (in ₹)?
  28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  30. 30.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  31. 31.Divide ₹396 between Aditya and Meera in the ratio 6 : 5. How much does Meera get (in ₹)?
  32. 32.11 : 7 = 44 : ?
  33. 33.5 : 4 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  35. 35.7 : 11 = 14 : ?
  36. 36.Divide ₹420 between Rahul and Rohan in the ratio 7 : 8. How much does Rahul get (in ₹)?
  37. 37.12 : 14 = 84 : ?
  38. 38.Divide ₹741 between Kabir and Tara in the ratio 4 : 9. How much does Kabir get (in ₹)?
  39. 39.Divide ₹65 between Zoya and Aditya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  40. 40.10 : 12 = 30 : ?

Answer key

  1. 36
  2. 48
  3. 16
  4. 32
  5. 64
  6. 235
  7. 8
  8. 240
  9. 60
  10. 35
  11. 98
  12. 56
  13. 72
  14. 36
  15. 40
  16. 28
  17. 50
  18. 20
  19. 20
  20. 25
  21. 9
  22. 4
  23. 100
  24. 20
  25. 52
  26. 42
  27. 21
  28. 125
  29. 81
  30. 63
  31. 180
  32. 28
  33. 16
  34. 56
  35. 22
  36. 196
  37. 98
  38. 228
  39. 52
  40. 36

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