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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 574 · 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.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  2. 2.3 : 4 = 24 : ?
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.Divide ₹935 between Aarav and Arjun in the ratio 9 : 8. How much does Aarav get (in ₹)?
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  7. 7.12 : 2 = 24 : ?
  8. 8.Divide ₹70 between Kabir and Isha in the ratio 1 : 4. How much does Isha get (in ₹)?
  9. 9.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  10. 10.8 : 4 = 56 : ?
  11. 11.5 : 3 = 40 : ?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  15. 15.12 : 3 = 60 : ?
  16. 16.Divide ₹168 between Pooja and Nisha in the ratio 9 : 5. How much does Pooja get (in ₹)?
  17. 17.6 : 10 = 30 : ?
  18. 18.Divide ₹256 between Aditya and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  19. 19.Divide ₹117 between Arjun and Aarav in the ratio 9 : 4. How much does Arjun get (in ₹)?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.10 : 8 = 40 : ?
  22. 22.Divide ₹189 between Dev and Kavya in the ratio 6 : 1. How much does Kavya get (in ₹)?
  23. 23.12 : 14 = 60 : ?
  24. 24.10 : 13 = 70 : ?
  25. 25.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  26. 26.12 : 6 = 24 : ?
  27. 27.5 : 3 = 35 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  29. 29.4 : 8 = 36 : ?
  30. 30.Divide ₹560 between Diya and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
  31. 31.12 : 10 = 36 : ?
  32. 32.10 : 13 = 60 : ?
  33. 33.6 : 15 = 24 : ?
  34. 34.5 : 7 = 15 : ?
  35. 35.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  36. 36.11 : 15 = 55 : ?
  37. 37.3 : 13 = 24 : ?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Divide ₹258 between Saanvi and Rahul in the ratio 5 : 1. How much does Rahul get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?

Answer key

  1. 14
  2. 32
  3. 20
  4. 495
  5. 175
  6. 48
  7. 4
  8. 56
  9. 200
  10. 28
  11. 24
  12. 45
  13. 40
  14. 4
  15. 15
  16. 108
  17. 50
  18. 144
  19. 81
  20. 75
  21. 32
  22. 27
  23. 70
  24. 91
  25. 21
  26. 12
  27. 21
  28. 56
  29. 72
  30. 56
  31. 30
  32. 78
  33. 60
  34. 21
  35. 30
  36. 75
  37. 104
  38. 28
  39. 43
  40. 8

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