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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 227 · 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 7 : 5. There are 14 boys. How many girls are there?
  2. 2.11 : 12 = 44 : ?
  3. 3.Divide ₹195 between Kavya and Nisha in the ratio 4 : 1. How much does Kavya get (in ₹)?
  4. 4.2 : 6 = 18 : ?
  5. 5.Divide ₹80 between Rahul and Vivaan in the ratio 7 : 1. How much does Rahul get (in ₹)?
  6. 6.Divide ₹81 between Kabir and Ananya in the ratio 7 : 2. How much does Kabir get (in ₹)?
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.Divide ₹209 between Manav and Aarav in the ratio 9 : 2. How much does Aarav get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.12 : 10 = 36 : ?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  15. 15.6 : 9 = 18 : ?
  16. 16.6 : 13 = 24 : ?
  17. 17.5 : 15 = 35 : ?
  18. 18.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  19. 19.11 : 12 = 77 : ?
  20. 20.7 : 3 = 42 : ?
  21. 21.5 : 6 = 15 : ?
  22. 22.Divide ₹65 between Ananya and Rahul in the ratio 1 : 4. How much does Ananya get (in ₹)?
  23. 23.8 : 5 = 72 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  25. 25.6 : 8 = 42 : ?
  26. 26.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  27. 27.10 : 3 = 50 : ?
  28. 28.Divide ₹60 between Kabir and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  29. 29.Divide ₹605 between Pooja and Priya in the ratio 9 : 2. How much does Priya get (in ₹)?
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.4 : 7 = 36 : ?
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.Divide ₹72 between Manav and Ishaan in the ratio 8 : 1. How much does Manav get (in ₹)?
  36. 36.5 : 11 = 10 : ?
  37. 37.Divide ₹162 between Tara and Kavya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  40. 40.Divide ₹330 between Saanvi and Tara in the ratio 8 : 7. How much does Saanvi get (in ₹)?

Answer key

  1. 10
  2. 48
  3. 156
  4. 54
  5. 70
  6. 63
  7. 100
  8. 38
  9. 40
  10. 32
  11. 30
  12. 36
  13. 35
  14. 70
  15. 27
  16. 52
  17. 105
  18. 27
  19. 84
  20. 18
  21. 18
  22. 13
  23. 45
  24. 72
  25. 56
  26. 24
  27. 15
  28. 40
  29. 110
  30. 32
  31. 63
  32. 6
  33. 36
  34. 24
  35. 64
  36. 22
  37. 18
  38. 8
  39. 3
  40. 176

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