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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 163 · 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 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.Divide ₹392 between Manav and Rohan in the ratio 4 : 3. How much does Manav get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  4. 4.Divide ₹143 between Rohan and Ishaan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  5. 5.9 : 15 = 54 : ?
  6. 6.Divide ₹180 between Manav and Tara in the ratio 5 : 1. How much does Manav get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  8. 8.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  9. 9.7 : 2 = 21 : ?
  10. 10.Divide ₹117 between Karan and Diya in the ratio 1 : 8. How much does Karan 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.Divide ₹528 between Farhan and Kabir in the ratio 4 : 7. How much does Kabir get (in ₹)?
  13. 13.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  14. 14.2 : 10 = 8 : ?
  15. 15.11 : 2 = 55 : ?
  16. 16.Divide ₹637 between Vivaan and Ananya in the ratio 6 : 7. How much does Ananya get (in ₹)?
  17. 17.5 : 2 = 45 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  19. 19.6 : 4 = 24 : ?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.Divide ₹660 between Kavya and Zoya in the ratio 8 : 3. How much does Kavya get (in ₹)?
  22. 22.2 : 5 = 14 : ?
  23. 23.6 : 3 = 54 : ?
  24. 24.Divide ₹238 between Rohan and Zoya in the ratio 4 : 3. How much does Rohan get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  29. 29.Divide ₹476 between Pooja and Kavya in the ratio 9 : 8. How much does Pooja get (in ₹)?
  30. 30.7 : 14 = 28 : ?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  33. 33.5 : 10 = 35 : ?
  34. 34.Divide ₹80 between Manav and Kavya in the ratio 7 : 1. How much does Manav get (in ₹)?
  35. 35.Divide ₹306 between Kavya and Aditya in the ratio 9 : 8. How much does Aditya get (in ₹)?
  36. 36.Divide ₹480 between Kabir and Isha in the ratio 5 : 7. How much does Isha get (in ₹)?
  37. 37.6 : 13 = 18 : ?
  38. 38.Divide ₹441 between Kavya and Kabir in the ratio 2 : 7. How much does Kabir get (in ₹)?
  39. 39.12 : 5 = 96 : ?
  40. 40.12 : 15 = 108 : ?

Answer key

  1. 12
  2. 224
  3. 12
  4. 91
  5. 90
  6. 150
  7. 14
  8. 200
  9. 6
  10. 13
  11. 12
  12. 336
  13. 100
  14. 40
  15. 10
  16. 343
  17. 18
  18. 49
  19. 16
  20. 24
  21. 480
  22. 35
  23. 27
  24. 136
  25. 21
  26. 20
  27. 32
  28. 60
  29. 252
  30. 56
  31. 28
  32. 5
  33. 70
  34. 70
  35. 144
  36. 280
  37. 39
  38. 343
  39. 40
  40. 135

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