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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 503 · 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 ₹144 between Karan and Ananya in the ratio 5 : 7. How much does Karan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  3. 3.6 : 11 = 12 : ?
  4. 4.Divide ₹120 between Manav and Kabir in the ratio 7 : 3. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  6. 6.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  7. 7.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  11. 11.Divide ₹108 between Nisha and Aditya in the ratio 4 : 5. How much does Nisha get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  13. 13.Divide ₹276 between Sneha and Meera in the ratio 5 : 7. How much does Sneha get (in ₹)?
  14. 14.Divide ₹54 between Meera and Pooja in the ratio 5 : 4. How much does Pooja get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  17. 17.6 : 2 = 24 : ?
  18. 18.Divide ₹324 between Ananya and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.Divide ₹145 between Saanvi and Meera in the ratio 4 : 1. How much does Meera get (in ₹)?
  21. 21.Divide ₹170 between Arjun and Karan in the ratio 7 : 3. How much does Arjun get (in ₹)?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.Divide ₹87 between Karan and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  25. 25.Divide ₹540 between Arjun and Saanvi in the ratio 7 : 8. How much does Arjun get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  27. 27.12 : 6 = 72 : ?
  28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  30. 30.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  31. 31.Divide ₹216 between Sneha and Priya in the ratio 1 : 3. How much does Sneha get (in ₹)?
  32. 32.Divide ₹138 between Meera and Arjun in the ratio 1 : 2. How much does Meera get (in ₹)?
  33. 33.Divide ₹24 between Saanvi and Arjun in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  34. 34.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  35. 35.11 : 3 = 33 : ?
  36. 36.Divide ₹660 between Pooja and Sneha in the ratio 9 : 2. How much does Pooja get (in ₹)?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.Divide ₹104 between Aditya and Pooja in the ratio 8 : 5. How much does Pooja get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  40. 40.Divide ₹121 between Ananya and Arjun in the ratio 5 : 6. How much does Ananya get (in ₹)?

Answer key

  1. 60
  2. 27
  3. 22
  4. 84
  5. 9
  6. 50
  7. 18
  8. 56
  9. 64
  10. 63
  11. 48
  12. 28
  13. 115
  14. 24
  15. 21
  16. 28
  17. 8
  18. 180
  19. 144
  20. 29
  21. 119
  22. 48
  23. 29
  24. 21
  25. 252
  26. 14
  27. 36
  28. 12
  29. 8
  30. 4
  31. 54
  32. 46
  33. 8
  34. 72
  35. 9
  36. 540
  37. 54
  38. 40
  39. 10
  40. 55

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