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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 173 · 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 ₹360 between Isha and Kabir in the ratio 4 : 5. How much does Isha get (in ₹)?
  2. 2.Divide ₹236 between Isha and Farhan in the ratio 3 : 1. How much does Isha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  5. 5.Divide ₹220 between Sneha and Ishaan in the ratio 7 : 4. How much does Sneha get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  9. 9.Divide ₹387 between Karan and Ishaan in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  11. 11.Divide ₹182 between Diya and Nisha in the ratio 5 : 8. How much does Diya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  13. 13.Divide ₹88 between Rahul and Aarav in the ratio 4 : 7. How much does Rahul get (in ₹)?
  14. 14.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  16. 16.Divide ₹315 between Kabir and Vivaan in the ratio 2 : 7. How much does Kabir get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  18. 18.Divide ₹780 between Sneha and Aarav in the ratio 4 : 9. How much does Aarav get (in ₹)?
  19. 19.6 : 7 = 48 : ?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Divide ₹172 between Zoya and Farhan in the ratio 1 : 3. How much does Farhan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  24. 24.7 : 6 = 21 : ?
  25. 25.10 : 9 = 20 : ?
  26. 26.Divide ₹533 between Ananya and Sneha in the ratio 4 : 9. How much does Ananya get (in ₹)?
  27. 27.Divide ₹867 between Ananya and Pooja in the ratio 8 : 9. How much does Pooja get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  29. 29.2 : 7 = 8 : ?
  30. 30.Divide ₹168 between Rahul and Diya in the ratio 5 : 7. How much does Rahul get (in ₹)?
  31. 31.4 : 2 = 32 : ?
  32. 32.11 : 14 = 99 : ?
  33. 33.Divide ₹231 between Saanvi and Diya in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  36. 36.5 : 15 = 25 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  38. 38.Divide ₹470 between Rohan and Ishaan in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  40. 40.Divide ₹80 between Isha and Sneha in the ratio 1 : 4. How much does Sneha get (in ₹)?

Answer key

  1. 160
  2. 177
  3. 30
  4. 18
  5. 140
  6. 9
  7. 36
  8. 48
  9. 172
  10. 10
  11. 70
  12. 5
  13. 32
  14. 225
  15. 18
  16. 70
  17. 30
  18. 540
  19. 56
  20. 75
  21. 28
  22. 129
  23. 25
  24. 18
  25. 18
  26. 164
  27. 459
  28. 8
  29. 28
  30. 70
  31. 16
  32. 126
  33. 126
  34. 16
  35. 24
  36. 75
  37. 56
  38. 423
  39. 35
  40. 64

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