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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 956 · 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. 1.11 : 6 = 55 : ?
  2. 2.10 : 6 = 40 : ?
  3. 3.Divide ₹144 between Kavya and Ishaan in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  5. 5.5 : 8 = 40 : ?
  6. 6.6 : 15 = 48 : ?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.Divide ₹414 between Arjun and Ishaan in the ratio 7 : 2. How much does Arjun get (in ₹)?
  10. 10.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  12. 12.Divide ₹136 between Tara and Karan in the ratio 5 : 3. How much does Karan get (in ₹)?
  13. 13.2 : 14 = 6 : ?
  14. 14.5 : 4 = 25 : ?
  15. 15.Divide ₹410 between Manav and Kavya in the ratio 1 : 9. How much does Manav get (in ₹)?
  16. 16.Divide ₹110 between Diya and Rohan in the ratio 1 : 4. How much does Diya get (in ₹)?
  17. 17.Divide ₹290 between Diya and Aarav in the ratio 1 : 9. How much does Diya get (in ₹)?
  18. 18.Divide ₹270 between Arjun and Karan in the ratio 1 : 8. How much does Arjun get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  20. 20.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  21. 21.10 : 9 = 20 : ?
  22. 22.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  23. 23.Divide ₹60 between Tara and Aarav in the ratio 2 : 3. How much does Tara get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  26. 26.Divide ₹476 between Priya and Kavya in the ratio 8 : 9. How much does Priya get (in ₹)?
  27. 27.Divide ₹280 between Dev and Meera in the ratio 3 : 2. How much does Dev get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  29. 29.12 : 6 = 60 : ?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  32. 32.5 : 6 = 30 : ?
  33. 33.Divide ₹351 between Dev and Kavya in the ratio 6 : 7. How much does Dev get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  35. 35.Divide ₹51 between Meera and Farhan in the ratio 2 : 1. How much does Meera get (in ₹)?
  36. 36.Divide ₹72 between Meera and Aarav in the ratio 5 : 4. How much does Meera get (in ₹)?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.11 : 6 = 22 : ?
  39. 39.Divide ₹238 between Nisha and Aditya in the ratio 6 : 1. How much does Nisha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?

Answer key

  1. 30
  2. 24
  3. 18
  4. 24
  5. 64
  6. 120
  7. 27
  8. 28
  9. 322
  10. 200
  11. 30
  12. 51
  13. 42
  14. 20
  15. 41
  16. 22
  17. 29
  18. 30
  19. 8
  20. 63
  21. 18
  22. 81
  23. 24
  24. 16
  25. 5
  26. 224
  27. 168
  28. 15
  29. 30
  30. 225
  31. 54
  32. 36
  33. 162
  34. 28
  35. 34
  36. 40
  37. 8
  38. 12
  39. 204
  40. 35

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