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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 820 · 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.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.Divide ₹484 between Arjun and Isha in the ratio 8 : 3. How much does Arjun get (in ₹)?
  5. 5.2 : 8 = 18 : ?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.4 : 7 = 28 : ?
  8. 8.Divide ₹540 between Rohan and Priya in the ratio 2 : 7. How much does Rohan get (in ₹)?
  9. 9.12 : 6 = 60 : ?
  10. 10.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  11. 11.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  12. 12.4 : 11 = 8 : ?
  13. 13.6 : 13 = 24 : ?
  14. 14.8 : 6 = 72 : ?
  15. 15.Divide ₹70 between Rohan and Meera in the ratio 2 : 3. How much does Meera get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  17. 17.Divide ₹36 between Manav and Nisha in the ratio 2 : 1. How much does Manav get (in ₹)?
  18. 18.2 : 6 = 14 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  20. 20.Divide ₹272 between Ananya and Kavya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  22. 22.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  23. 23.Divide ₹88 between Ishaan and Tara in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  24. 24.2 : 6 = 4 : ?
  25. 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.Divide ₹84 between Vivaan and Ishaan in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  28. 28.5 : 6 = 35 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  30. 30.Divide ₹442 between Tara and Isha in the ratio 6 : 7. How much does Tara get (in ₹)?
  31. 31.5 : 2 = 30 : ?
  32. 32.Divide ₹204 between Rahul and Rohan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  33. 33.6 : 9 = 30 : ?
  34. 34.5 : 3 = 45 : ?
  35. 35.Divide ₹384 between Arjun and Ishaan in the ratio 7 : 9. How much does Arjun get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  37. 37.7 : 10 = 21 : ?
  38. 38.Divide ₹104 between Diya and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
  39. 39.8 : 10 = 32 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?

Answer key

  1. 36
  2. 16
  3. 27
  4. 352
  5. 72
  6. 12
  7. 49
  8. 120
  9. 30
  10. 10
  11. 100
  12. 22
  13. 52
  14. 54
  15. 42
  16. 24
  17. 24
  18. 42
  19. 36
  20. 102
  21. 21
  22. 81
  23. 64
  24. 12
  25. 45
  26. 112
  27. 63
  28. 42
  29. 36
  30. 204
  31. 12
  32. 85
  33. 45
  34. 27
  35. 168
  36. 15
  37. 30
  38. 56
  39. 40
  40. 49

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