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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 4 · 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.Divide ₹184 between Vivaan and Diya in the ratio 3 : 5. How much does Diya get (in ₹)?
  2. 2.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  3. 3.Divide ₹35 between Karan and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  7. 7.Divide ₹208 between Meera and Aditya in the ratio 7 : 9. How much does Meera get (in ₹)?
  8. 8.12 : 3 = 72 : ?
  9. 9.Divide ₹378 between Vivaan and Isha in the ratio 4 : 3. How much does Isha get (in ₹)?
  10. 10.9 : 8 = 54 : ?
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.9 : 7 = 54 : ?
  14. 14.Divide ₹360 between Vivaan and Pooja in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  16. 16.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  17. 17.2 : 4 = 14 : ?
  18. 18.4 : 14 = 16 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  20. 20.9 : 15 = 72 : ?
  21. 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  22. 22.Divide ₹132 between Karan and Meera in the ratio 1 : 5. How much does Meera get (in ₹)?
  23. 23.10 : 4 = 90 : ?
  24. 24.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  25. 25.8 : 2 = 24 : ?
  26. 26.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  28. 28.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  30. 30.Divide ₹350 between Manav and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  31. 31.12 : 7 = 36 : ?
  32. 32.Divide ₹798 between Farhan and Isha in the ratio 5 : 9. How much does Farhan get (in ₹)?
  33. 33.Divide ₹78 between Arjun and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  34. 34.Divide ₹160 between Saanvi and Kabir in the ratio 1 : 9. How much does Kabir get (in ₹)?
  35. 35.3 : 11 = 27 : ?
  36. 36.9 : 4 = 45 : ?
  37. 37.5 : 2 = 35 : ?
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  40. 40.9 : 7 = 63 : ?

Answer key

  1. 115
  2. 50
  3. 20
  4. 8
  5. 75
  6. 9
  7. 91
  8. 18
  9. 162
  10. 48
  11. 8
  12. 72
  13. 42
  14. 36
  15. 30
  16. 96
  17. 28
  18. 56
  19. 18
  20. 120
  21. 32
  22. 110
  23. 36
  24. 12
  25. 6
  26. 28
  27. 27
  28. 144
  29. 12
  30. 35
  31. 21
  32. 285
  33. 52
  34. 144
  35. 99
  36. 20
  37. 14
  38. 225
  39. 81
  40. 49

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