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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 713 · 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 : 12 = 45 : ?
  2. 2.Divide ₹80 between Arjun and Aarav in the ratio 1 : 3. How much does Arjun get (in ₹)?
  3. 3.Divide ₹91 between Arjun and Ananya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  4. 4.9 : 3 = 27 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  6. 6.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  8. 8.4 : 11 = 24 : ?
  9. 9.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.4 : 12 = 12 : ?
  12. 12.Divide ₹270 between Saanvi and Aditya in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  13. 13.Divide ₹315 between Aarav and Meera in the ratio 4 : 3. How much does Meera get (in ₹)?
  14. 14.12 : 10 = 24 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  16. 16.Divide ₹169 between Nisha and Priya in the ratio 7 : 6. How much does Nisha get (in ₹)?
  17. 17.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  18. 18.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  19. 19.Divide ₹795 between Ananya and Manav in the ratio 7 : 8. How much does Ananya get (in ₹)?
  20. 20.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.Divide ₹235 between Kabir and Sneha in the ratio 3 : 2. How much does Sneha get (in ₹)?
  23. 23.8 : 10 = 72 : ?
  24. 24.Divide ₹273 between Priya and Rahul in the ratio 7 : 6. How much does Rahul get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  26. 26.Divide ₹261 between Meera and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  27. 27.Divide ₹50 between Nisha and Vivaan in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  29. 29.8 : 13 = 40 : ?
  30. 30.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  31. 31.8 : 4 = 40 : ?
  32. 32.Divide ₹495 between Meera and Ananya in the ratio 8 : 3. How much does Ananya get (in ₹)?
  33. 33.6 : 9 = 18 : ?
  34. 34.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  35. 35.Divide ₹297 between Aarav and Ishaan in the ratio 8 : 1. How much does Aarav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  37. 37.2 : 15 = 14 : ?
  38. 38.Divide ₹63 between Pooja and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.9 : 13 = 54 : ?

Answer key

  1. 60
  2. 20
  3. 52
  4. 9
  5. 40
  6. 81
  7. 49
  8. 66
  9. 14
  10. 45
  11. 36
  12. 216
  13. 135
  14. 20
  15. 16
  16. 91
  17. 32
  18. 125
  19. 371
  20. 225
  21. 100
  22. 94
  23. 90
  24. 126
  25. 16
  26. 203
  27. 10
  28. 14
  29. 65
  30. 112
  31. 20
  32. 135
  33. 27
  34. 2
  35. 264
  36. 20
  37. 105
  38. 18
  39. 200
  40. 78

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