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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 272 · 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 ₹126 between Tara and Pooja in the ratio 4 : 3. How much does Tara get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  4. 4.8 : 10 = 32 : ?
  5. 5.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  6. 6.9 : 15 = 63 : ?
  7. 7.Divide ₹518 between Rahul and Karan in the ratio 9 : 5. How much does Karan get (in ₹)?
  8. 8.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  10. 10.Divide ₹308 between Zoya and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?
  11. 11.7 : 3 = 49 : ?
  12. 12.3 : 6 = 6 : ?
  13. 13.6 : 4 = 36 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  15. 15.4 : 3 = 16 : ?
  16. 16.10 : 4 = 90 : ?
  17. 17.2 : 4 = 10 : ?
  18. 18.Divide ₹36 between Saanvi and Kabir in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  19. 19.Divide ₹650 between Karan and Aarav in the ratio 6 : 7. How much does Karan get (in ₹)?
  20. 20.Divide ₹242 between Tara and Isha in the ratio 9 : 2. How much does Tara get (in ₹)?
  21. 21.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  22. 22.3 : 8 = 6 : ?
  23. 23.Divide ₹56 between Rahul and Diya in the ratio 4 : 3. How much does Diya get (in ₹)?
  24. 24.4 : 11 = 8 : ?
  25. 25.2 : 7 = 4 : ?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.Divide ₹390 between Nisha and Aarav in the ratio 9 : 1. How much does Nisha get (in ₹)?
  30. 30.Divide ₹370 between Ishaan and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.6 : 13 = 48 : ?
  34. 34.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  35. 35.Divide ₹256 between Meera and Zoya in the ratio 5 : 3. How much does Meera get (in ₹)?
  36. 36.3 : 8 = 21 : ?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.5 : 15 = 45 : ?
  39. 39.Divide ₹234 between Meera and Rohan in the ratio 1 : 5. How much does Meera get (in ₹)?
  40. 40.Divide ₹198 between Aditya and Aarav in the ratio 2 : 9. How much does Aditya get (in ₹)?

Answer key

  1. 72
  2. 4
  3. 7
  4. 40
  5. 42
  6. 105
  7. 185
  8. 81
  9. 48
  10. 132
  11. 21
  12. 12
  13. 24
  14. 12
  15. 12
  16. 36
  17. 20
  18. 24
  19. 300
  20. 198
  21. 125
  22. 16
  23. 24
  24. 22
  25. 14
  26. 175
  27. 225
  28. 32
  29. 351
  30. 37
  31. 81
  32. 200
  33. 104
  34. 36
  35. 160
  36. 56
  37. 54
  38. 135
  39. 39
  40. 36

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