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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 198 · 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 27 (that is, 9 : 27 = 27 : ?).
  2. 2.5 : 11 = 35 : ?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  5. 5.4 : 8 = 28 : ?
  6. 6.Divide ₹561 between Vivaan and Aarav in the ratio 8 : 3. How much does Vivaan get (in ₹)?
  7. 7.8 : 3 = 32 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  9. 9.8 : 13 = 56 : ?
  10. 10.5 : 15 = 45 : ?
  11. 11.Divide ₹120 between Farhan and Dev in the ratio 9 : 1. How much does Dev get (in ₹)?
  12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  13. 13.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  14. 14.7 : 15 = 56 : ?
  15. 15.Divide ₹400 between Manav and Diya in the ratio 1 : 7. How much does Diya get (in ₹)?
  16. 16.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  17. 17.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  18. 18.Divide ₹209 between Priya and Isha in the ratio 3 : 8. How much does Isha get (in ₹)?
  19. 19.9 : 3 = 27 : ?
  20. 20.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  21. 21.Divide ₹215 between Karan and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  22. 22.6 : 12 = 42 : ?
  23. 23.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  24. 24.Divide ₹345 between Farhan and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
  25. 25.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  28. 28.6 : 11 = 48 : ?
  29. 29.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  33. 33.Divide ₹245 between Kavya and Arjun in the ratio 3 : 2. How much does Kavya get (in ₹)?
  34. 34.12 : 8 = 48 : ?
  35. 35.Divide ₹136 between Arjun and Kabir in the ratio 5 : 3. How much does Kabir get (in ₹)?
  36. 36.6 : 7 = 12 : ?
  37. 37.10 : 6 = 80 : ?
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.Divide ₹130 between Rahul and Ishaan in the ratio 7 : 6. How much does Rahul get (in ₹)?
  40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

Answer key

  1. 81
  2. 77
  3. 50
  4. 12
  5. 56
  6. 408
  7. 12
  8. 27
  9. 91
  10. 135
  11. 12
  12. 28
  13. 45
  14. 120
  15. 350
  16. 200
  17. 12
  18. 152
  19. 9
  20. 2
  21. 172
  22. 84
  23. 63
  24. 184
  25. 36
  26. 100
  27. 20
  28. 88
  29. 4
  30. 30
  31. 8
  32. 14
  33. 147
  34. 32
  35. 51
  36. 14
  37. 48
  38. 225
  39. 70
  40. 63

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