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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 707 · 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. 1.3 : 2 = 15 : ?
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.5 : 3 = 30 : ?
  4. 4.4 : 7 = 32 : ?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.Divide ₹64 between Arjun and Zoya in the ratio 1 : 3. How much does Arjun get (in ₹)?
  8. 8.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  10. 10.Divide ₹104 between Isha and Arjun in the ratio 1 : 3. How much does Isha get (in ₹)?
  11. 11.10 : 6 = 30 : ?
  12. 12.4 : 3 = 16 : ?
  13. 13.12 : 10 = 96 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  15. 15.12 : 3 = 60 : ?
  16. 16.Divide ₹144 between Ishaan and Aditya in the ratio 2 : 1. How much does Aditya get (in ₹)?
  17. 17.12 : 9 = 108 : ?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  20. 20.Divide ₹234 between Ananya and Aditya in the ratio 5 : 1. How much does Ananya get (in ₹)?
  21. 21.Divide ₹407 between Arjun and Pooja in the ratio 9 : 2. How much does Arjun get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  31. 31.Divide ₹560 between Isha and Ananya in the ratio 9 : 5. How much does Isha get (in ₹)?
  32. 32.Divide ₹48 between Meera and Aarav in the ratio 1 : 7. How much does Meera get (in ₹)?
  33. 33.Divide ₹495 between Nisha and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  35. 35.Divide ₹100 between Ananya and Rahul in the ratio 4 : 1. How much does Rahul get (in ₹)?
  36. 36.Divide ₹280 between Rahul and Aditya in the ratio 3 : 2. How much does Aditya get (in ₹)?
  37. 37.Divide ₹130 between Rahul and Arjun in the ratio 3 : 7. How much does Rahul get (in ₹)?
  38. 38.7 : 8 = 42 : ?
  39. 39.Divide ₹451 between Farhan and Manav in the ratio 3 : 8. How much does Farhan get (in ₹)?
  40. 40.Divide ₹104 between Kabir and Rahul in the ratio 3 : 5. How much does Kabir get (in ₹)?

Answer key

  1. 10
  2. 24
  3. 18
  4. 56
  5. 150
  6. 32
  7. 16
  8. 36
  9. 4
  10. 26
  11. 18
  12. 12
  13. 80
  14. 15
  15. 15
  16. 48
  17. 81
  18. 175
  19. 24
  20. 195
  21. 333
  22. 36
  23. 72
  24. 18
  25. 64
  26. 28
  27. 96
  28. 18
  29. 12
  30. 42
  31. 360
  32. 6
  33. 135
  34. 54
  35. 20
  36. 112
  37. 39
  38. 48
  39. 123
  40. 39

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