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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 993 · 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 9 and 18 (that is, 9 : 18 = 18 : ?).
  2. 2.6 : 15 = 54 : ?
  3. 3.2 : 14 = 4 : ?
  4. 4.Divide ₹228 between Isha and Dev in the ratio 3 : 1. How much does Dev get (in ₹)?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.10 : 11 = 80 : ?
  7. 7.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  10. 10.Divide ₹539 between Vivaan and Rohan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹418 between Meera and Kavya in the ratio 2 : 9. How much does Meera get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  15. 15.7 : 4 = 28 : ?
  16. 16.2 : 5 = 6 : ?
  17. 17.8 : 10 = 16 : ?
  18. 18.10 : 7 = 40 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  20. 20.11 : 5 = 99 : ?
  21. 21.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  22. 22.11 : 14 = 44 : ?
  23. 23.7 : 11 = 49 : ?
  24. 24.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  25. 25.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  26. 26.Divide ₹196 between Kavya and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  27. 27.Divide ₹530 between Ananya and Karan in the ratio 9 : 1. How much does Karan get (in ₹)?
  28. 28.Divide ₹312 between Karan and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  29. 29.Divide ₹147 between Rahul and Sneha in the ratio 1 : 6. How much does Rahul get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  31. 31.Divide ₹141 between Aarav and Tara in the ratio 1 : 2. How much does Aarav get (in ₹)?
  32. 32.Divide ₹767 between Nisha and Diya in the ratio 5 : 8. How much does Nisha get (in ₹)?
  33. 33.10 : 8 = 90 : ?
  34. 34.3 : 12 = 15 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  37. 37.8 : 13 = 40 : ?
  38. 38.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.Divide ₹378 between Diya and Vivaan in the ratio 6 : 1. How much does Diya get (in ₹)?

Answer key

  1. 36
  2. 135
  3. 28
  4. 57
  5. 200
  6. 88
  7. 7
  8. 27
  9. 10
  10. 147
  11. 12
  12. 150
  13. 76
  14. 64
  15. 16
  16. 15
  17. 20
  18. 28
  19. 35
  20. 45
  21. 72
  22. 56
  23. 77
  24. 72
  25. 4
  26. 147
  27. 53
  28. 216
  29. 21
  30. 6
  31. 47
  32. 295
  33. 72
  34. 60
  35. 56
  36. 35
  37. 65
  38. 175
  39. 112
  40. 324

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