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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 36 · 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. 1.8 : 3 = 40 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  3. 3.Divide ₹656 between Rahul and Sneha in the ratio 9 : 7. How much does Rahul get (in ₹)?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.3 : 5 = 21 : ?
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.8 : 5 = 40 : ?
  8. 8.Divide ₹154 between Meera and Rahul in the ratio 4 : 3. How much does Rahul get (in ₹)?
  9. 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  10. 10.Divide ₹224 between Arjun and Nisha in the ratio 2 : 5. How much does Nisha get (in ₹)?
  11. 11.2 : 5 = 18 : ?
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  15. 15.Divide ₹192 between Ananya and Kavya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  16. 16.Divide ₹54 between Ananya and Farhan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  17. 17.5 : 7 = 20 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  19. 19.Divide ₹162 between Ananya and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.Divide ₹250 between Dev and Sneha in the ratio 7 : 3. How much does Dev get (in ₹)?
  22. 22.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  23. 23.Divide ₹324 between Karan and Kavya in the ratio 2 : 7. How much does Kavya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  27. 27.8 : 5 = 64 : ?
  28. 28.3 : 8 = 27 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.6 : 3 = 54 : ?
  32. 32.4 : 5 = 36 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  34. 34.Divide ₹480 between Farhan and Kabir in the ratio 7 : 8. How much does Kabir get (in ₹)?
  35. 35.4 : 14 = 32 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  37. 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  38. 38.4 : 2 = 8 : ?
  39. 39.Divide ₹171 between Isha and Nisha in the ratio 7 : 2. How much does Nisha get (in ₹)?
  40. 40.3 : 14 = 24 : ?

Answer key

  1. 15
  2. 21
  3. 369
  4. 8
  5. 35
  6. 80
  7. 25
  8. 66
  9. 28
  10. 160
  11. 45
  12. 63
  13. 28
  14. 16
  15. 108
  16. 18
  17. 28
  18. 24
  19. 126
  20. 36
  21. 175
  22. 112
  23. 252
  24. 36
  25. 18
  26. 14
  27. 40
  28. 72
  29. 45
  30. 24
  31. 27
  32. 45
  33. 4
  34. 256
  35. 112
  36. 7
  37. 20
  38. 4
  39. 38
  40. 112

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