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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 454 · 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).

NameDateTime takenScore ___ / 40
  1. 1.7 : 3 = 28 : ?
  2. 2.Divide ₹231 between Kavya and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
  3. 3.3 : 6 = 15 : ?
  4. 4.3 : 5 = 18 : ?
  5. 5.Divide ₹495 between Tara and Karan in the ratio 4 : 7. How much does Karan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  8. 8.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  12. 12.5 : 11 = 25 : ?
  13. 13.3 : 5 = 6 : ?
  14. 14.4 : 13 = 20 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  17. 17.Divide ₹208 between Arjun and Kabir in the ratio 3 : 5. How much does Kabir get (in ₹)?
  18. 18.Divide ₹225 between Saanvi and Tara in the ratio 7 : 8. How much does Tara get (in ₹)?
  19. 19.9 : 12 = 63 : ?
  20. 20.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  23. 23.10 : 9 = 60 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  30. 30.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  32. 32.Divide ₹168 between Rohan and Nisha in the ratio 3 : 5. How much does Nisha get (in ₹)?
  33. 33.Divide ₹192 between Isha and Ishaan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  34. 34.Divide ₹168 between Zoya and Diya in the ratio 3 : 5. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  36. 36.Divide ₹70 between Saanvi and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?

Answer key

  1. 12
  2. 42
  3. 30
  4. 30
  5. 315
  6. 54
  7. 14
  8. 81
  9. 64
  10. 3
  11. 12
  12. 55
  13. 10
  14. 65
  15. 14
  16. 12
  17. 130
  18. 120
  19. 84
  20. 56
  21. 175
  22. 18
  23. 54
  24. 18
  25. 27
  26. 3
  27. 12
  28. 125
  29. 8
  30. 40
  31. 40
  32. 105
  33. 144
  34. 105
  35. 14
  36. 7
  37. 20
  38. 112
  39. 42
  40. 12

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