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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 246 · 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.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.2 : 15 = 16 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.5 : 14 = 20 : ?
  7. 7.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  8. 8.Divide ₹66 between Priya and Kavya in the ratio 6 : 5. How much does Kavya get (in ₹)?
  9. 9.Divide ₹561 between Aditya and Diya in the ratio 7 : 4. How much does Diya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  11. 11.Divide ₹192 between Diya and Zoya in the ratio 7 : 5. How much does Diya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  13. 13.Divide ₹231 between Arjun and Saanvi in the ratio 9 : 2. How much does Arjun get (in ₹)?
  14. 14.3 : 8 = 27 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  16. 16.Divide ₹187 between Kavya and Diya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  17. 17.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.Divide ₹132 between Diya and Manav in the ratio 3 : 1. How much does Diya get (in ₹)?
  20. 20.4 : 6 = 32 : ?
  21. 21.8 : 13 = 40 : ?
  22. 22.Divide ₹110 between Diya and Manav in the ratio 3 : 7. How much does Manav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  24. 24.9 : 11 = 36 : ?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  26. 26.9 : 14 = 72 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  28. 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  29. 29.10 : 3 = 80 : ?
  30. 30.3 : 5 = 12 : ?
  31. 31.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  32. 32.Divide ₹161 between Ishaan and Dev in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  33. 33.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  34. 34.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  35. 35.Divide ₹490 between Ishaan and Dev in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  37. 37.Divide ₹969 between Diya and Farhan in the ratio 8 : 9. How much does Diya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.Divide ₹338 between Manav and Kavya in the ratio 8 : 5. How much does Manav get (in ₹)?

Answer key

  1. 36
  2. 16
  3. 120
  4. 24
  5. 36
  6. 56
  7. 14
  8. 30
  9. 204
  10. 42
  11. 112
  12. 14
  13. 189
  14. 72
  15. 24
  16. 34
  17. 32
  18. 112
  19. 99
  20. 48
  21. 65
  22. 77
  23. 21
  24. 44
  25. 21
  26. 112
  27. 24
  28. 27
  29. 24
  30. 20
  31. 63
  32. 92
  33. 128
  34. 45
  35. 49
  36. 4
  37. 456
  38. 2
  39. 75
  40. 208

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