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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 768 · 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. 1.9 : 5 = 54 : ?
  2. 2.Divide ₹93 between Meera and Diya in the ratio 1 : 2. How much does Meera get (in ₹)?
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.10 : 11 = 30 : ?
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  10. 10.4 : 12 = 20 : ?
  11. 11.Divide ₹282 between Sneha and Arjun in the ratio 5 : 1. How much does Arjun get (in ₹)?
  12. 12.Divide ₹405 between Pooja and Aarav in the ratio 5 : 4. How much does Pooja get (in ₹)?
  13. 13.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  17. 17.Divide ₹100 between Rohan and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.12 : 14 = 36 : ?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.7 : 5 = 35 : ?
  22. 22.Divide ₹580 between Ananya and Rohan in the ratio 3 : 7. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.Divide ₹126 between Diya and Kavya in the ratio 1 : 2. How much does Kavya get (in ₹)?
  25. 25.Divide ₹648 between Vivaan and Kabir in the ratio 5 : 7. How much does Kabir get (in ₹)?
  26. 26.Divide ₹120 between Priya and Farhan in the ratio 1 : 3. How much does Priya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  28. 28.Divide ₹98 between Saanvi and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?
  29. 29.Divide ₹187 between Karan and Saanvi in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  30. 30.Divide ₹108 between Meera and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  32. 32.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  33. 33.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  34. 34.Divide ₹177 between Manav and Saanvi in the ratio 1 : 2. How much does Manav get (in ₹)?
  35. 35.Divide ₹252 between Meera and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  36. 36.Divide ₹144 between Kabir and Aditya in the ratio 1 : 5. How much does Aditya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?

Answer key

  1. 30
  2. 31
  3. 144
  4. 36
  5. 28
  6. 33
  7. 24
  8. 24
  9. 3
  10. 60
  11. 47
  12. 225
  13. 81
  14. 49
  15. 30
  16. 5
  17. 40
  18. 32
  19. 42
  20. 48
  21. 25
  22. 174
  23. 32
  24. 84
  25. 378
  26. 30
  27. 6
  28. 42
  29. 68
  30. 24
  31. 48
  32. 36
  33. 45
  34. 59
  35. 216
  36. 120
  37. 21
  38. 63
  39. 6
  40. 54

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