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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 966 · 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 16 (that is, 4 : 16 = 16 : ?).
  2. 2.8 : 5 = 16 : ?
  3. 3.Divide ₹72 between Isha and Nisha in the ratio 1 : 7. How much does Isha get (in ₹)?
  4. 4.Divide ₹154 between Meera and Kavya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  5. 5.2 : 5 = 4 : ?
  6. 6.Divide ₹50 between Ananya and Zoya in the ratio 1 : 9. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  8. 8.5 : 7 = 15 : ?
  9. 9.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  11. 11.Divide ₹182 between Nisha and Pooja in the ratio 3 : 4. How much does Pooja get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  13. 13.5 : 11 = 10 : ?
  14. 14.Divide ₹235 between Meera and Kabir in the ratio 1 : 4. How much does Kabir get (in ₹)?
  15. 15.9 : 8 = 81 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  17. 17.Divide ₹180 between Rohan and Farhan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  19. 19.Divide ₹60 between Isha and Diya in the ratio 3 : 7. How much does Diya get (in ₹)?
  20. 20.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  21. 21.Divide ₹378 between Kavya and Aditya in the ratio 2 : 7. How much does Aditya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  23. 23.3 : 7 = 12 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  26. 26.Divide ₹390 between Aditya and Sneha in the ratio 8 : 7. How much does Sneha get (in ₹)?
  27. 27.2 : 6 = 16 : ?
  28. 28.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  29. 29.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  30. 30.Divide ₹640 between Ishaan and Arjun in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  31. 31.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  34. 34.4 : 6 = 24 : ?
  35. 35.Divide ₹300 between Arjun and Meera in the ratio 4 : 1. How much does Arjun get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  37. 37.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  38. 38.Divide ₹175 between Dev and Pooja in the ratio 5 : 2. How much does Dev get (in ₹)?
  39. 39.Divide ₹343 between Sneha and Diya in the ratio 1 : 6. How much does Sneha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?

Answer key

  1. 64
  2. 10
  3. 9
  4. 88
  5. 10
  6. 5
  7. 28
  8. 21
  9. 225
  10. 50
  11. 104
  12. 6
  13. 22
  14. 188
  15. 72
  16. 21
  17. 72
  18. 63
  19. 42
  20. 125
  21. 294
  22. 8
  23. 28
  24. 8
  25. 6
  26. 182
  27. 48
  28. 72
  29. 21
  30. 360
  31. 36
  32. 10
  33. 6
  34. 36
  35. 240
  36. 10
  37. 75
  38. 125
  39. 49
  40. 63

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