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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 464 · 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 2 and 4 (that is, 2 : 4 = 4 : ?).
  2. 2.Divide ₹315 between Isha and Vivaan in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  3. 3.2 : 5 = 6 : ?
  4. 4.Divide ₹140 between Diya and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
  5. 5.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  6. 6.Divide ₹182 between Rahul and Nisha in the ratio 4 : 9. How much does Rahul get (in ₹)?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  11. 11.11 : 15 = 99 : ?
  12. 12.Divide ₹100 between Isha and Rahul in the ratio 3 : 7. How much does Rahul get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  15. 15.11 : 14 = 99 : ?
  16. 16.9 : 14 = 54 : ?
  17. 17.4 : 8 = 28 : ?
  18. 18.6 : 9 = 18 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  20. 20.Divide ₹550 between Arjun and Ananya in the ratio 9 : 2. How much does Arjun get (in ₹)?
  21. 21.7 : 11 = 14 : ?
  22. 22.Divide ₹176 between Nisha and Isha in the ratio 7 : 1. How much does Isha get (in ₹)?
  23. 23.Divide ₹115 between Nisha and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  25. 25.5 : 10 = 20 : ?
  26. 26.5 : 11 = 15 : ?
  27. 27.Divide ₹260 between Rohan and Saanvi in the ratio 9 : 1. How much does Rohan get (in ₹)?
  28. 28.Divide ₹364 between Farhan and Rohan in the ratio 5 : 9. How much does Rohan get (in ₹)?
  29. 29.Divide ₹320 between Aditya and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  30. 30.4 : 2 = 20 : ?
  31. 31.7 : 3 = 42 : ?
  32. 32.Divide ₹296 between Kabir and Pooja in the ratio 5 : 3. How much does Pooja get (in ₹)?
  33. 33.2 : 9 = 8 : ?
  34. 34.Divide ₹392 between Ishaan and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  36. 36.12 : 9 = 108 : ?
  37. 37.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Divide ₹256 between Dev and Aarav in the ratio 3 : 5. How much does Dev get (in ₹)?
  40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

Answer key

  1. 8
  2. 270
  3. 15
  4. 120
  5. 144
  6. 56
  7. 16
  8. 56
  9. 50
  10. 16
  11. 135
  12. 70
  13. 30
  14. 27
  15. 126
  16. 84
  17. 56
  18. 27
  19. 8
  20. 450
  21. 22
  22. 22
  23. 69
  24. 35
  25. 40
  26. 33
  27. 234
  28. 234
  29. 96
  30. 10
  31. 18
  32. 111
  33. 36
  34. 49
  35. 24
  36. 81
  37. 30
  38. 28
  39. 96
  40. 100

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