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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 47 · 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.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  2. 2.Divide ₹212 between Karan and Aditya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  4. 4.Divide ₹265 between Kavya and Zoya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  5. 5.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  6. 6.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  7. 7.8 : 13 = 24 : ?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  10. 10.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.4 : 12 = 12 : ?
  13. 13.Divide ₹108 between Tara and Manav in the ratio 2 : 7. How much does Tara get (in ₹)?
  14. 14.9 : 12 = 27 : ?
  15. 15.Divide ₹297 between Zoya and Manav in the ratio 5 : 6. How much does Manav get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.10 : 5 = 90 : ?
  19. 19.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  20. 20.Divide ₹480 between Rahul and Vivaan in the ratio 3 : 5. How much does Vivaan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  22. 22.Divide ₹320 between Vivaan and Ishaan in the ratio 9 : 1. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹130 between Arjun and Vivaan in the ratio 2 : 3. How much does Arjun get (in ₹)?
  24. 24.4 : 7 = 12 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  27. 27.Divide ₹630 between Meera and Isha in the ratio 8 : 7. How much does Meera get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  29. 29.6 : 15 = 24 : ?
  30. 30.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  31. 31.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  32. 32.2 : 8 = 6 : ?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  36. 36.10 : 6 = 70 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  38. 38.2 : 14 = 18 : ?
  39. 39.Divide ₹465 between Sneha and Kabir in the ratio 8 : 7. How much does Kabir get (in ₹)?
  40. 40.10 : 9 = 90 : ?

Answer key

  1. 225
  2. 159
  3. 25
  4. 106
  5. 100
  6. 36
  7. 39
  8. 80
  9. 32
  10. 150
  11. 96
  12. 36
  13. 24
  14. 36
  15. 162
  16. 50
  17. 8
  18. 45
  19. 64
  20. 300
  21. 27
  22. 32
  23. 52
  24. 21
  25. 18
  26. 35
  27. 336
  28. 32
  29. 60
  30. 36
  31. 18
  32. 24
  33. 28
  34. 6
  35. 18
  36. 42
  37. 18
  38. 126
  39. 217
  40. 81

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