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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 401 · 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.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  2. 2.Divide ₹56 between Pooja and Meera in the ratio 2 : 5. How much does Meera get (in ₹)?
  3. 3.11 : 13 = 77 : ?
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.Divide ₹141 between Rahul and Kavya in the ratio 2 : 1. How much does Rahul get (in ₹)?
  6. 6.9 : 6 = 72 : ?
  7. 7.Divide ₹484 between Vivaan and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  9. 9.5 : 8 = 35 : ?
  10. 10.Divide ₹234 between Diya and Isha in the ratio 2 : 7. How much does Diya get (in ₹)?
  11. 11.9 : 4 = 36 : ?
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.Divide ₹84 between Rohan and Tara in the ratio 1 : 3. How much does Rohan get (in ₹)?
  14. 14.9 : 14 = 18 : ?
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.12 : 8 = 36 : ?
  17. 17.Divide ₹35 between Ishaan and Diya in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  18. 18.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  21. 21.9 : 5 = 18 : ?
  22. 22.Divide ₹49 between Meera and Vivaan in the ratio 4 : 3. How much does Meera get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  24. 24.12 : 4 = 36 : ?
  25. 25.3 : 8 = 18 : ?
  26. 26.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.Divide ₹138 between Zoya and Kavya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  30. 30.11 : 6 = 88 : ?
  31. 31.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  33. 33.4 : 6 = 12 : ?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.Divide ₹741 between Meera and Nisha in the ratio 8 : 5. How much does Nisha get (in ₹)?
  36. 36.3 : 15 = 15 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  38. 38.Divide ₹192 between Tara and Nisha in the ratio 1 : 3. How much does Nisha get (in ₹)?
  39. 39.11 : 9 = 77 : ?
  40. 40.3 : 7 = 18 : ?

Answer key

  1. 12
  2. 40
  3. 91
  4. 28
  5. 94
  6. 48
  7. 396
  8. 12
  9. 56
  10. 52
  11. 16
  12. 63
  13. 21
  14. 28
  15. 16
  16. 24
  17. 20
  18. 32
  19. 20
  20. 9
  21. 10
  22. 28
  23. 4
  24. 12
  25. 48
  26. 36
  27. 72
  28. 46
  29. 14
  30. 48
  31. 4
  32. 45
  33. 18
  34. 75
  35. 285
  36. 75
  37. 24
  38. 144
  39. 63
  40. 42

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