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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 201 · 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 ₹672 between Karan and Pooja in the ratio 9 : 7. How much does Karan get (in ₹)?
  2. 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  4. 4.Divide ₹506 between Vivaan and Diya in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  6. 6.3 : 2 = 9 : ?
  7. 7.Divide ₹456 between Vivaan and Diya in the ratio 1 : 7. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  9. 9.Divide ₹660 between Priya and Ishaan in the ratio 5 : 6. How much does Priya get (in ₹)?
  10. 10.12 : 14 = 24 : ?
  11. 11.8 : 4 = 56 : ?
  12. 12.10 : 4 = 30 : ?
  13. 13.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  15. 15.Divide ₹70 between Rohan and Dev in the ratio 1 : 9. How much does Rohan get (in ₹)?
  16. 16.Divide ₹145 between Rohan and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
  17. 17.Divide ₹637 between Priya and Ananya in the ratio 5 : 8. How much does Priya get (in ₹)?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.Divide ₹95 between Priya and Kavya in the ratio 2 : 3. How much does Priya get (in ₹)?
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.9 : 11 = 81 : ?
  23. 23.Divide ₹210 between Nisha and Vivaan in the ratio 3 : 7. How much does Nisha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  25. 25.Divide ₹260 between Ishaan and Sneha in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  26. 26.Divide ₹150 between Tara and Dev in the ratio 1 : 4. How much does Tara get (in ₹)?
  27. 27.Divide ₹234 between Kabir and Ishaan in the ratio 8 : 5. How much does Kabir get (in ₹)?
  28. 28.4 : 13 = 28 : ?
  29. 29.Divide ₹196 between Kavya and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  30. 30.Divide ₹290 between Diya and Kabir in the ratio 3 : 7. How much does Diya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.9 : 3 = 18 : ?
  34. 34.Divide ₹75 between Saanvi and Ananya in the ratio 2 : 3. How much does Saanvi get (in ₹)?
  35. 35.10 : 7 = 20 : ?
  36. 36.Divide ₹230 between Vivaan and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
  37. 37.11 : 12 = 22 : ?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.Divide ₹40 between Vivaan and Karan in the ratio 2 : 3. How much does Karan get (in ₹)?
  40. 40.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).

Answer key

  1. 378
  2. 200
  3. 45
  4. 184
  5. 28
  6. 6
  7. 57
  8. 24
  9. 300
  10. 28
  11. 28
  12. 12
  13. 5
  14. 2
  15. 7
  16. 58
  17. 245
  18. 32
  19. 175
  20. 38
  21. 100
  22. 99
  23. 63
  24. 4
  25. 52
  26. 30
  27. 144
  28. 91
  29. 147
  30. 87
  31. 36
  32. 125
  33. 6
  34. 30
  35. 14
  36. 92
  37. 24
  38. 12
  39. 24
  40. 28

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