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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 816 · 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 9 and 18 (that is, 9 : 18 = 18 : ?).
  2. 2.Divide ₹190 between Ananya and Sneha in the ratio 1 : 9. How much does Sneha get (in ₹)?
  3. 3.12 : 5 = 96 : ?
  4. 4.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  5. 5.Divide ₹81 between Aarav and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  7. 7.Divide ₹540 between Dev and Pooja in the ratio 2 : 7. How much does Pooja get (in ₹)?
  8. 8.Divide ₹195 between Kabir and Priya in the ratio 9 : 4. How much does Priya get (in ₹)?
  9. 9.Divide ₹630 between Sneha and Priya in the ratio 9 : 5. How much does Priya get (in ₹)?
  10. 10.4 : 7 = 36 : ?
  11. 11.11 : 3 = 99 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  13. 13.11 : 14 = 88 : ?
  14. 14.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  20. 20.6 : 2 = 18 : ?
  21. 21.Divide ₹605 between Dev and Nisha in the ratio 9 : 2. How much does Dev get (in ₹)?
  22. 22.Divide ₹272 between Zoya and Vivaan in the ratio 5 : 3. How much does Zoya get (in ₹)?
  23. 23.9 : 10 = 36 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  25. 25.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  26. 26.12 : 5 = 72 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  29. 29.5 : 7 = 10 : ?
  30. 30.Divide ₹360 between Rohan and Arjun in the ratio 9 : 1. How much does Arjun get (in ₹)?
  31. 31.Divide ₹209 between Zoya and Kavya in the ratio 9 : 2. How much does Kavya get (in ₹)?
  32. 32.Divide ₹480 between Farhan and Saanvi in the ratio 7 : 8. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  34. 34.8 : 2 = 40 : ?
  35. 35.5 : 10 = 40 : ?
  36. 36.Divide ₹144 between Dev and Aditya in the ratio 1 : 8. How much does Aditya get (in ₹)?
  37. 37.Divide ₹90 between Vivaan and Aarav in the ratio 8 : 1. How much does Aarav get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  39. 39.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  40. 40.10 : 12 = 90 : ?

Answer key

  1. 36
  2. 171
  3. 40
  4. 64
  5. 18
  6. 10
  7. 420
  8. 60
  9. 225
  10. 63
  11. 27
  12. 10
  13. 112
  14. 56
  15. 112
  16. 81
  17. 18
  18. 96
  19. 128
  20. 6
  21. 495
  22. 170
  23. 40
  24. 24
  25. 175
  26. 30
  27. 16
  28. 49
  29. 14
  30. 36
  31. 38
  32. 224
  33. 63
  34. 10
  35. 80
  36. 128
  37. 10
  38. 10
  39. 45
  40. 108

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