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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 113 · 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).

NameDateTime takenScore ___ / 40
  1. 1.3 : 11 = 18 : ?
  2. 2.4 : 5 = 16 : ?
  3. 3.7 : 6 = 28 : ?
  4. 4.Divide ₹378 between Sneha and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.8 : 4 = 40 : ?
  7. 7.12 : 14 = 48 : ?
  8. 8.Divide ₹658 between Sneha and Rohan in the ratio 5 : 9. How much does Rohan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  10. 10.11 : 9 = 55 : ?
  11. 11.3 : 11 = 24 : ?
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.Divide ₹110 between Rohan and Isha in the ratio 3 : 7. How much does Rohan get (in ₹)?
  14. 14.Divide ₹324 between Manav and Nisha in the ratio 2 : 7. How much does Nisha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  16. 16.12 : 3 = 84 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  18. 18.Divide ₹357 between Aarav and Rohan in the ratio 3 : 4. How much does Rohan get (in ₹)?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  22. 22.Divide ₹187 between Kavya and Aditya in the ratio 9 : 2. How much does Aditya get (in ₹)?
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.Divide ₹88 between Saanvi and Manav in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  25. 25.3 : 15 = 24 : ?
  26. 26.Divide ₹308 between Nisha and Priya in the ratio 8 : 3. How much does Nisha get (in ₹)?
  27. 27.Divide ₹423 between Farhan and Isha in the ratio 2 : 7. How much does Isha get (in ₹)?
  28. 28.11 : 15 = 99 : ?
  29. 29.Divide ₹351 between Aditya and Dev in the ratio 4 : 9. How much does Aditya get (in ₹)?
  30. 30.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  31. 31.Divide ₹150 between Aarav and Meera in the ratio 8 : 7. How much does Aarav get (in ₹)?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.Divide ₹66 between Arjun and Manav in the ratio 2 : 9. How much does Arjun get (in ₹)?
  34. 34.8 : 7 = 48 : ?
  35. 35.8 : 2 = 24 : ?
  36. 36.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  38. 38.4 : 11 = 12 : ?
  39. 39.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  40. 40.2 : 7 = 8 : ?

Answer key

  1. 66
  2. 20
  3. 24
  4. 162
  5. 8
  6. 20
  7. 56
  8. 423
  9. 36
  10. 45
  11. 88
  12. 72
  13. 33
  14. 252
  15. 8
  16. 21
  17. 27
  18. 204
  19. 36
  20. 4
  21. 18
  22. 34
  23. 175
  24. 40
  25. 120
  26. 224
  27. 329
  28. 135
  29. 108
  30. 81
  31. 80
  32. 80
  33. 12
  34. 42
  35. 6
  36. 7
  37. 28
  38. 33
  39. 63
  40. 28

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