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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 383 · 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. 1.4 : 7 = 20 : ?
  2. 2.10 : 9 = 50 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  5. 5.Divide ₹530 between Ananya and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  9. 9.Divide ₹209 between Diya and Karan in the ratio 9 : 2. How much does Diya get (in ₹)?
  10. 10.Divide ₹486 between Karan and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  11. 11.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  12. 12.Divide ₹572 between Rohan and Priya in the ratio 5 : 8. How much does Priya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  14. 14.Divide ₹80 between Farhan and Kavya in the ratio 9 : 7. How much does Farhan get (in ₹)?
  15. 15.Divide ₹110 between Diya and Farhan in the ratio 3 : 8. How much does Diya get (in ₹)?
  16. 16.5 : 6 = 45 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  19. 19.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.12 : 5 = 60 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  24. 24.12 : 2 = 24 : ?
  25. 25.6 : 14 = 24 : ?
  26. 26.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  28. 28.Divide ₹110 between Sneha and Meera in the ratio 3 : 7. How much does Sneha get (in ₹)?
  29. 29.2 : 15 = 6 : ?
  30. 30.11 : 14 = 55 : ?
  31. 31.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.Divide ₹217 between Pooja and Aarav in the ratio 1 : 6. How much does Pooja get (in ₹)?
  34. 34.Divide ₹55 between Saanvi and Tara in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  37. 37.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  38. 38.Divide ₹70 between Vivaan and Isha in the ratio 7 : 3. How much does Isha get (in ₹)?
  39. 39.Divide ₹462 between Diya and Rohan in the ratio 5 : 9. How much does Diya get (in ₹)?
  40. 40.Divide ₹351 between Priya and Farhan in the ratio 8 : 1. How much does Priya get (in ₹)?

Answer key

  1. 35
  2. 45
  3. 90
  4. 48
  5. 159
  6. 30
  7. 20
  8. 6
  9. 171
  10. 54
  11. 75
  12. 352
  13. 10
  14. 45
  15. 30
  16. 54
  17. 18
  18. 225
  19. 21
  20. 16
  21. 25
  22. 28
  23. 27
  24. 4
  25. 56
  26. 21
  27. 32
  28. 33
  29. 45
  30. 70
  31. 36
  32. 28
  33. 31
  34. 30
  35. 48
  36. 200
  37. 100
  38. 21
  39. 165
  40. 312

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