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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 80 · 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 : 2. There are 10 boys. How many girls are there?
  2. 2.8 : 9 = 72 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  5. 5.2 : 10 = 18 : ?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  7. 7.Divide ₹360 between Tara and Ishaan in the ratio 5 : 4. How much does Tara get (in ₹)?
  8. 8.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  11. 11.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  12. 12.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  13. 13.2 : 8 = 18 : ?
  14. 14.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  15. 15.Divide ₹200 between Pooja and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  16. 16.Divide ₹65 between Isha and Dev in the ratio 3 : 2. How much does Isha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  18. 18.Divide ₹50 between Rahul and Kabir in the ratio 1 : 9. How much does Rahul get (in ₹)?
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.Divide ₹208 between Isha and Meera in the ratio 4 : 9. How much does Meera get (in ₹)?
  21. 21.6 : 10 = 48 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  23. 23.Divide ₹341 between Aarav and Manav in the ratio 2 : 9. How much does Manav get (in ₹)?
  24. 24.7 : 5 = 63 : ?
  25. 25.Divide ₹198 between Rohan and Farhan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  26. 26.Divide ₹42 between Kabir and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  29. 29.10 : 14 = 40 : ?
  30. 30.8 : 14 = 56 : ?
  31. 31.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  32. 32.4 : 7 = 28 : ?
  33. 33.5 : 3 = 10 : ?
  34. 34.Divide ₹30 between Ishaan and Meera in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.Divide ₹288 between Saanvi and Arjun in the ratio 7 : 5. How much does Saanvi get (in ₹)?
  39. 39.Divide ₹399 between Kabir and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?

Answer key

  1. 4
  2. 81
  3. 21
  4. 72
  5. 90
  6. 12
  7. 200
  8. 75
  9. 56
  10. 12
  11. 64
  12. 54
  13. 72
  14. 32
  15. 20
  16. 39
  17. 28
  18. 5
  19. 32
  20. 144
  21. 80
  22. 16
  23. 279
  24. 45
  25. 36
  26. 24
  27. 18
  28. 15
  29. 56
  30. 98
  31. 6
  32. 49
  33. 6
  34. 6
  35. 48
  36. 6
  37. 8
  38. 168
  39. 171
  40. 18

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