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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 407 · 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 5 : 8. There are 30 boys. How many girls are there?
  2. 2.5 : 6 = 15 : ?
  3. 3.9 : 10 = 36 : ?
  4. 4.Divide ₹60 between Diya and Ananya in the ratio 5 : 1. How much does Diya get (in ₹)?
  5. 5.8 : 6 = 56 : ?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.Divide ₹49 between Manav and Vivaan in the ratio 6 : 1. How much does Vivaan get (in ₹)?
  8. 8.12 : 6 = 48 : ?
  9. 9.5 : 10 = 35 : ?
  10. 10.Divide ₹400 between Aditya and Kabir in the ratio 3 : 7. How much does Kabir get (in ₹)?
  11. 11.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  12. 12.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  13. 13.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  14. 14.4 : 13 = 8 : ?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.6 : 10 = 36 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  18. 18.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  20. 20.12 : 8 = 108 : ?
  21. 21.5 : 3 = 15 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  23. 23.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  24. 24.Divide ₹266 between Isha and Aditya in the ratio 6 : 1. How much does Isha get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  26. 26.Divide ₹121 between Isha and Rahul in the ratio 2 : 9. How much does Rahul get (in ₹)?
  27. 27.Divide ₹91 between Aarav and Manav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  28. 28.3 : 5 = 6 : ?
  29. 29.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  30. 30.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  31. 31.Divide ₹168 between Rahul and Meera in the ratio 7 : 5. How much does Meera get (in ₹)?
  32. 32.Divide ₹336 between Karan and Ananya in the ratio 9 : 5. How much does Ananya get (in ₹)?
  33. 33.4 : 12 = 8 : ?
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  36. 36.Divide ₹96 between Vivaan and Nisha in the ratio 1 : 7. How much does Vivaan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  40. 40.Divide ₹600 between Ananya and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?

Answer key

  1. 48
  2. 18
  3. 40
  4. 50
  5. 42
  6. 28
  7. 7
  8. 24
  9. 70
  10. 280
  11. 36
  12. 128
  13. 36
  14. 26
  15. 64
  16. 60
  17. 72
  18. 72
  19. 40
  20. 72
  21. 9
  22. 24
  23. 54
  24. 228
  25. 6
  26. 99
  27. 52
  28. 10
  29. 75
  30. 8
  31. 70
  32. 120
  33. 24
  34. 81
  35. 56
  36. 12
  37. 5
  38. 14
  39. 16
  40. 540

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