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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 189 · 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 6 and 18 (that is, 6 : 18 = 18 : ?).
  2. 2.Divide ₹440 between Meera and Saanvi in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  3. 3.3 : 12 = 6 : ?
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  5. 5.Divide ₹234 between Saanvi and Vivaan in the ratio 5 : 4. How much does Vivaan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  7. 7.Divide ₹42 between Ananya and Manav in the ratio 4 : 3. How much does Manav get (in ₹)?
  8. 8.6 : 10 = 54 : ?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.6 : 5 = 18 : ?
  11. 11.2 : 14 = 14 : ?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹100 between Kavya and Dev in the ratio 3 : 2. How much does Kavya get (in ₹)?
  14. 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  15. 15.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  16. 16.Divide ₹63 between Dev and Farhan in the ratio 2 : 5. How much does Dev get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  19. 19.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  20. 20.11 : 14 = 66 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  22. 22.Divide ₹156 between Dev and Rahul in the ratio 4 : 9. How much does Dev get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
  24. 24.9 : 14 = 63 : ?
  25. 25.Divide ₹222 between Sneha and Nisha in the ratio 5 : 1. How much does Sneha get (in ₹)?
  26. 26.9 : 3 = 27 : ?
  27. 27.Divide ₹441 between Meera and Manav in the ratio 7 : 2. How much does Manav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  30. 30.Divide ₹826 between Manav and Kavya in the ratio 5 : 9. How much does Manav get (in ₹)?
  31. 31.Divide ₹748 between Nisha and Rohan in the ratio 9 : 8. How much does Nisha get (in ₹)?
  32. 32.Divide ₹272 between Aditya and Nisha in the ratio 1 : 7. How much does Aditya get (in ₹)?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  35. 35.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  36. 36.Divide ₹124 between Tara and Arjun in the ratio 3 : 1. How much does Tara get (in ₹)?
  37. 37.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  38. 38.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  39. 39.8 : 3 = 48 : ?
  40. 40.Divide ₹52 between Vivaan and Diya in the ratio 1 : 3. How much does Vivaan get (in ₹)?

Answer key

  1. 54
  2. 240
  3. 24
  4. 16
  5. 104
  6. 20
  7. 18
  8. 90
  9. 75
  10. 15
  11. 98
  12. 150
  13. 60
  14. 36
  15. 4
  16. 18
  17. 8
  18. 81
  19. 42
  20. 84
  21. 12
  22. 48
  23. 70
  24. 98
  25. 185
  26. 9
  27. 98
  28. 63
  29. 56
  30. 295
  31. 396
  32. 34
  33. 225
  34. 49
  35. 175
  36. 93
  37. 125
  38. 48
  39. 18
  40. 13

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