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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 183 · 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.Divide ₹378 between Nisha and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
  2. 2.Divide ₹352 between Rohan and Pooja in the ratio 9 : 7. How much does Pooja get (in ₹)?
  3. 3.5 : 4 = 35 : ?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  8. 8.Divide ₹75 between Ishaan and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  9. 9.Divide ₹594 between Kabir and Karan in the ratio 3 : 8. How much does Kabir get (in ₹)?
  10. 10.Divide ₹522 between Meera and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  11. 11.Divide ₹500 between Nisha and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.12 : 6 = 108 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  19. 19.Divide ₹252 between Meera and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.12 : 14 = 60 : ?
  23. 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  24. 24.3 : 13 = 27 : ?
  25. 25.Divide ₹432 between Karan and Meera in the ratio 3 : 5. How much does Karan get (in ₹)?
  26. 26.5 : 7 = 25 : ?
  27. 27.Divide ₹880 between Meera and Isha in the ratio 7 : 9. How much does Isha get (in ₹)?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.9 : 4 = 45 : ?
  30. 30.4 : 8 = 8 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  32. 32.4 : 11 = 32 : ?
  33. 33.8 : 12 = 40 : ?
  34. 34.Divide ₹495 between Meera and Kabir in the ratio 7 : 4. How much does Kabir get (in ₹)?
  35. 35.3 : 8 = 21 : ?
  36. 36.Divide ₹440 between Karan and Zoya in the ratio 9 : 2. How much does Karan get (in ₹)?
  37. 37.Divide ₹364 between Nisha and Diya in the ratio 8 : 5. How much does Nisha get (in ₹)?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  40. 40.8 : 14 = 64 : ?

Answer key

  1. 294
  2. 154
  3. 28
  4. 8
  5. 48
  6. 49
  7. 2
  8. 30
  9. 162
  10. 58
  11. 450
  12. 45
  13. 54
  14. 27
  15. 80
  16. 150
  17. 28
  18. 24
  19. 72
  20. 10
  21. 64
  22. 70
  23. 16
  24. 117
  25. 162
  26. 35
  27. 495
  28. 20
  29. 20
  30. 16
  31. 36
  32. 88
  33. 60
  34. 180
  35. 56
  36. 360
  37. 224
  38. 28
  39. 56
  40. 112

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