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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 926 · 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 ₹78 between Saanvi and Kavya in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  2. 2.2 : 11 = 6 : ?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  5. 5.Divide ₹160 between Ananya and Zoya in the ratio 7 : 1. How much does Ananya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  7. 7.11 : 12 = 22 : ?
  8. 8.Divide ₹120 between Karan and Pooja in the ratio 1 : 3. How much does Karan get (in ₹)?
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.8 : 12 = 16 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  13. 13.8 : 3 = 24 : ?
  14. 14.Divide ₹448 between Farhan and Rahul in the ratio 7 : 1. How much does Rahul get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  16. 16.12 : 9 = 24 : ?
  17. 17.Divide ₹225 between Isha and Nisha in the ratio 1 : 8. How much does Nisha get (in ₹)?
  18. 18.6 : 14 = 12 : ?
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.10 : 2 = 20 : ?
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.Divide ₹132 between Zoya and Aditya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  24. 24.Divide ₹121 between Farhan and Zoya in the ratio 4 : 7. How much does Farhan get (in ₹)?
  25. 25.Divide ₹676 between Ananya and Meera in the ratio 8 : 5. How much does Meera get (in ₹)?
  26. 26.6 : 12 = 24 : ?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.2 : 6 = 10 : ?
  29. 29.Divide ₹88 between Sneha and Tara in the ratio 3 : 5. How much does Sneha get (in ₹)?
  30. 30.Divide ₹506 between Ananya and Aarav in the ratio 5 : 6. How much does Ananya get (in ₹)?
  31. 31.5 : 12 = 25 : ?
  32. 32.Divide ₹180 between Zoya and Nisha in the ratio 5 : 1. How much does Nisha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  34. 34.5 : 2 = 25 : ?
  35. 35.6 : 13 = 18 : ?
  36. 36.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  40. 40.Divide ₹280 between Priya and Ananya in the ratio 7 : 3. How much does Priya get (in ₹)?

Answer key

  1. 52
  2. 33
  3. 80
  4. 8
  5. 140
  6. 28
  7. 24
  8. 30
  9. 175
  10. 24
  11. 90
  12. 4
  13. 9
  14. 56
  15. 10
  16. 18
  17. 200
  18. 28
  19. 100
  20. 4
  21. 12
  22. 8
  23. 99
  24. 44
  25. 260
  26. 48
  27. 63
  28. 30
  29. 33
  30. 230
  31. 60
  32. 30
  33. 9
  34. 10
  35. 39
  36. 18
  37. 12
  38. 21
  39. 35
  40. 196

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