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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 687 · 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.Divide ₹80 between Tara and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  2. 2.9 : 12 = 36 : ?
  3. 3.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Divide ₹504 between Sneha and Kavya in the ratio 4 : 5. How much does Sneha get (in ₹)?
  6. 6.Divide ₹275 between Ananya and Nisha in the ratio 4 : 7. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  8. 8.Divide ₹105 between Kavya and Tara in the ratio 2 : 1. How much does Tara get (in ₹)?
  9. 9.4 : 14 = 16 : ?
  10. 10.8 : 3 = 64 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  12. 12.Divide ₹770 between Ishaan and Karan in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  13. 13.3 : 13 = 21 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.Divide ₹301 between Ananya and Farhan in the ratio 6 : 1. How much does Ananya get (in ₹)?
  17. 17.7 : 4 = 56 : ?
  18. 18.11 : 5 = 88 : ?
  19. 19.Divide ₹351 between Pooja and Diya in the ratio 8 : 1. How much does Pooja get (in ₹)?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  22. 22.2 : 5 = 10 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  24. 24.Divide ₹161 between Ishaan and Ananya in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  25. 25.Divide ₹522 between Nisha and Pooja in the ratio 5 : 4. How much does Nisha get (in ₹)?
  26. 26.Divide ₹378 between Saanvi and Meera in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  27. 27.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  28. 28.4 : 2 = 16 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  30. 30.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  31. 31.3 : 12 = 24 : ?
  32. 32.Divide ₹380 between Meera and Kavya in the ratio 1 : 9. How much does Meera get (in ₹)?
  33. 33.Divide ₹130 between Tara and Saanvi in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  36. 36.Divide ₹204 between Meera and Rohan in the ratio 1 : 3. How much does Meera get (in ₹)?
  37. 37.Divide ₹580 between Ishaan and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
  38. 38.4 : 9 = 20 : ?
  39. 39.12 : 14 = 36 : ?
  40. 40.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).

Answer key

  1. 48
  2. 48
  3. 49
  4. 8
  5. 224
  6. 100
  7. 16
  8. 35
  9. 56
  10. 24
  11. 8
  12. 495
  13. 91
  14. 42
  15. 12
  16. 258
  17. 32
  18. 40
  19. 312
  20. 20
  21. 81
  22. 25
  23. 3
  24. 92
  25. 290
  26. 84
  27. 150
  28. 8
  29. 45
  30. 100
  31. 96
  32. 38
  33. 52
  34. 15
  35. 28
  36. 51
  37. 522
  38. 45
  39. 42
  40. 27

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