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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 142 · 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 2 : 9. There are 18 boys. How many girls are there?
  2. 2.Divide ₹104 between Arjun and Aarav in the ratio 1 : 3. How much does Arjun get (in ₹)?
  3. 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  4. 4.11 : 15 = 22 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Divide ₹896 between Nisha and Rahul in the ratio 7 : 9. How much does Nisha get (in ₹)?
  8. 8.3 : 12 = 12 : ?
  9. 9.3 : 7 = 9 : ?
  10. 10.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  12. 12.10 : 9 = 50 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  14. 14.7 : 11 = 28 : ?
  15. 15.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  16. 16.Divide ₹162 between Sneha and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  20. 20.Divide ₹697 between Rohan and Ananya in the ratio 9 : 8. How much does Ananya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  22. 22.Divide ₹310 between Diya and Rohan in the ratio 9 : 1. How much does Diya get (in ₹)?
  23. 23.Divide ₹329 between Meera and Manav in the ratio 5 : 2. How much does Manav get (in ₹)?
  24. 24.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  25. 25.10 : 12 = 40 : ?
  26. 26.10 : 5 = 60 : ?
  27. 27.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  30. 30.12 : 9 = 96 : ?
  31. 31.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  32. 32.Divide ₹96 between Nisha and Tara in the ratio 7 : 5. How much does Tara get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  35. 35.Divide ₹369 between Kavya and Karan in the ratio 1 : 8. How much does Kavya get (in ₹)?
  36. 36.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  37. 37.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.2 : 11 = 4 : ?

Answer key

  1. 81
  2. 26
  3. 16
  4. 30
  5. 63
  6. 54
  7. 392
  8. 48
  9. 21
  10. 15
  11. 4
  12. 45
  13. 8
  14. 44
  15. 45
  16. 90
  17. 2
  18. 20
  19. 36
  20. 328
  21. 56
  22. 279
  23. 94
  24. 96
  25. 48
  26. 30
  27. 28
  28. 81
  29. 72
  30. 72
  31. 36
  32. 40
  33. 24
  34. 4
  35. 41
  36. 12
  37. 48
  38. 7
  39. 36
  40. 22

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