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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 93 · 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 5 : 2. There are 15 boys. How many girls are there?
  2. 2.12 : 9 = 84 : ?
  3. 3.Divide ₹342 between Manav and Ishaan in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  4. 4.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  5. 5.Divide ₹496 between Ananya and Diya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  8. 8.Divide ₹342 between Kabir and Ananya in the ratio 1 : 5. How much does Kabir get (in ₹)?
  9. 9.Divide ₹200 between Tara and Rohan in the ratio 7 : 3. How much does Rohan get (in ₹)?
  10. 10.Divide ₹126 between Rahul and Rohan in the ratio 1 : 5. How much does Rohan get (in ₹)?
  11. 11.Divide ₹680 between Saanvi and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
  12. 12.Divide ₹550 between Sneha and Kabir in the ratio 9 : 1. How much does Sneha get (in ₹)?
  13. 13.3 : 14 = 9 : ?
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  16. 16.10 : 6 = 30 : ?
  17. 17.7 : 10 = 35 : ?
  18. 18.9 : 10 = 72 : ?
  19. 19.4 : 11 = 24 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  21. 21.8 : 2 = 64 : ?
  22. 22.11 : 8 = 55 : ?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  25. 25.Divide ₹364 between Ishaan and Farhan in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  27. 27.Divide ₹301 between Kavya and Pooja in the ratio 2 : 5. How much does Kavya get (in ₹)?
  28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  29. 29.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  31. 31.4 : 8 = 32 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  33. 33.Divide ₹55 between Ishaan and Nisha in the ratio 2 : 3. How much does Nisha get (in ₹)?
  34. 34.Divide ₹80 between Diya and Rohan in the ratio 1 : 7. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  36. 36.11 : 14 = 33 : ?
  37. 37.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  39. 39.12 : 6 = 24 : ?
  40. 40.Divide ₹168 between Arjun and Saanvi in the ratio 6 : 1. How much does Arjun get (in ₹)?

Answer key

  1. 6
  2. 63
  3. 304
  4. 20
  5. 279
  6. 12
  7. 4
  8. 57
  9. 60
  10. 105
  11. 320
  12. 495
  13. 42
  14. 14
  15. 36
  16. 18
  17. 50
  18. 80
  19. 66
  20. 2
  21. 16
  22. 40
  23. 45
  24. 12
  25. 234
  26. 35
  27. 86
  28. 125
  29. 90
  30. 45
  31. 64
  32. 30
  33. 33
  34. 10
  35. 35
  36. 42
  37. 36
  38. 144
  39. 12
  40. 144

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