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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 387 · 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.Divide ₹208 between Rohan and Farhan in the ratio 9 : 7. How much does Farhan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  4. 4.Divide ₹144 between Ananya and Vivaan in the ratio 1 : 2. How much does Ananya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  6. 6.Divide ₹54 between Dev and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  7. 7.11 : 15 = 66 : ?
  8. 8.6 : 2 = 12 : ?
  9. 9.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  10. 10.Divide ₹180 between Arjun and Diya in the ratio 2 : 7. How much does Diya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  12. 12.3 : 7 = 6 : ?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.4 : 10 = 8 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  16. 16.12 : 10 = 24 : ?
  17. 17.Divide ₹240 between Aarav and Isha in the ratio 7 : 9. How much does Aarav get (in ₹)?
  18. 18.3 : 4 = 12 : ?
  19. 19.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  20. 20.Divide ₹900 between Arjun and Priya in the ratio 7 : 8. How much does Arjun get (in ₹)?
  21. 21.Divide ₹440 between Rohan and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  23. 23.Divide ₹243 between Kavya and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  24. 24.5 : 14 = 30 : ?
  25. 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  26. 26.Divide ₹504 between Ishaan and Priya in the ratio 5 : 9. How much does Ishaan get (in ₹)?
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.Divide ₹80 between Sneha and Priya in the ratio 1 : 7. How much does Priya get (in ₹)?
  29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  30. 30.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  31. 31.11 : 4 = 55 : ?
  32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  33. 33.12 : 4 = 84 : ?
  34. 34.Divide ₹280 between Rohan and Tara in the ratio 4 : 3. How much does Rohan get (in ₹)?
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.Divide ₹624 between Tara and Meera in the ratio 5 : 7. How much does Tara get (in ₹)?
  37. 37.Divide ₹204 between Ananya and Meera in the ratio 5 : 1. How much does Meera get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  40. 40.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).

Answer key

  1. 91
  2. 16
  3. 12
  4. 48
  5. 35
  6. 36
  7. 90
  8. 4
  9. 35
  10. 140
  11. 36
  12. 14
  13. 18
  14. 20
  15. 27
  16. 20
  17. 105
  18. 16
  19. 72
  20. 420
  21. 132
  22. 12
  23. 54
  24. 84
  25. 63
  26. 180
  27. 200
  28. 70
  29. 125
  30. 128
  31. 20
  32. 20
  33. 28
  34. 160
  35. 27
  36. 260
  37. 34
  38. 40
  39. 12
  40. 48

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