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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 651 · 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 7 and 35 (that is, 7 : 35 = 35 : ?).
  2. 2.2 : 4 = 4 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  6. 6.6 : 9 = 54 : ?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.Divide ₹304 between Arjun and Rahul in the ratio 5 : 3. How much does Arjun get (in ₹)?
  9. 9.5 : 11 = 45 : ?
  10. 10.Divide ₹187 between Ananya and Manav in the ratio 8 : 3. How much does Manav get (in ₹)?
  11. 11.8 : 12 = 72 : ?
  12. 12.Divide ₹279 between Meera and Diya in the ratio 7 : 2. How much does Meera get (in ₹)?
  13. 13.Divide ₹121 between Ananya and Dev in the ratio 2 : 9. How much does Dev get (in ₹)?
  14. 14.Divide ₹180 between Dev and Saanvi in the ratio 2 : 3. How much does Dev get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  18. 18.Divide ₹98 between Karan and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
  19. 19.Divide ₹216 between Ananya and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  20. 20.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  21. 21.11 : 3 = 77 : ?
  22. 22.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  23. 23.4 : 9 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  25. 25.Divide ₹522 between Diya and Karan in the ratio 4 : 5. How much does Karan get (in ₹)?
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  28. 28.2 : 14 = 18 : ?
  29. 29.5 : 13 = 45 : ?
  30. 30.Divide ₹294 between Meera and Kavya in the ratio 3 : 4. How much does Meera get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  32. 32.Divide ₹544 between Vivaan and Arjun in the ratio 7 : 9. How much does Arjun get (in ₹)?
  33. 33.12 : 3 = 108 : ?
  34. 34.8 : 15 = 16 : ?
  35. 35.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  36. 36.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  37. 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  38. 38.5 : 3 = 35 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?

Answer key

  1. 175
  2. 8
  3. 2
  4. 18
  5. 48
  6. 81
  7. 64
  8. 190
  9. 99
  10. 51
  11. 108
  12. 217
  13. 99
  14. 72
  15. 20
  16. 8
  17. 24
  18. 14
  19. 48
  20. 225
  21. 21
  22. 63
  23. 45
  24. 32
  25. 290
  26. 63
  27. 50
  28. 126
  29. 117
  30. 126
  31. 16
  32. 306
  33. 27
  34. 30
  35. 81
  36. 80
  37. 28
  38. 21
  39. 45
  40. 12

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