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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 310 · 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 4 and 8 (that is, 4 : 8 = 8 : ?).
  2. 2.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  3. 3.Divide ₹91 between Nisha and Tara in the ratio 1 : 6. How much does Tara get (in ₹)?
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.10 : 7 = 80 : ?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.Divide ₹95 between Zoya and Nisha in the ratio 1 : 4. How much does Zoya get (in ₹)?
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.Divide ₹48 between Saanvi and Rahul in the ratio 7 : 1. How much does Rahul get (in ₹)?
  10. 10.4 : 5 = 32 : ?
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.5 : 12 = 25 : ?
  13. 13.Divide ₹81 between Arjun and Kavya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  15. 15.Divide ₹35 between Ananya and Farhan in the ratio 1 : 6. How much does Ananya get (in ₹)?
  16. 16.12 : 3 = 36 : ?
  17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.Divide ₹480 between Ishaan and Priya in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  22. 22.Divide ₹96 between Saanvi and Meera in the ratio 3 : 5. How much does Meera get (in ₹)?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.6 : 10 = 18 : ?
  25. 25.2 : 3 = 18 : ?
  26. 26.2 : 5 = 4 : ?
  27. 27.Divide ₹494 between Ananya and Isha in the ratio 5 : 8. How much does Ananya get (in ₹)?
  28. 28.Divide ₹387 between Arjun and Tara in the ratio 1 : 8. How much does Arjun get (in ₹)?
  29. 29.4 : 14 = 24 : ?
  30. 30.11 : 5 = 55 : ?
  31. 31.Divide ₹406 between Rahul and Tara in the ratio 5 : 2. How much does Tara get (in ₹)?
  32. 32.Divide ₹468 between Saanvi and Vivaan in the ratio 5 : 4. How much does Vivaan get (in ₹)?
  33. 33.4 : 15 = 32 : ?
  34. 34.3 : 2 = 24 : ?
  35. 35.11 : 13 = 66 : ?
  36. 36.7 : 9 = 56 : ?
  37. 37.12 : 4 = 60 : ?
  38. 38.3 : 14 = 9 : ?
  39. 39.Divide ₹140 between Isha and Karan in the ratio 3 : 4. How much does Karan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?

Answer key

  1. 16
  2. 2
  3. 78
  4. 75
  5. 56
  6. 18
  7. 19
  8. 63
  9. 6
  10. 40
  11. 45
  12. 60
  13. 9
  14. 56
  15. 5
  16. 9
  17. 150
  18. 50
  19. 336
  20. 20
  21. 112
  22. 60
  23. 12
  24. 30
  25. 27
  26. 10
  27. 190
  28. 43
  29. 84
  30. 25
  31. 116
  32. 208
  33. 120
  34. 16
  35. 78
  36. 72
  37. 20
  38. 42
  39. 80
  40. 60

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