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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 962 · 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 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.8 : 5 = 32 : ?
  5. 5.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  8. 8.Divide ₹90 between Kabir and Pooja in the ratio 3 : 7. How much does Kabir get (in ₹)?
  9. 9.Divide ₹232 between Pooja and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?
  10. 10.Divide ₹128 between Karan and Vivaan in the ratio 7 : 9. How much does Karan get (in ₹)?
  11. 11.Divide ₹374 between Aarav and Farhan in the ratio 7 : 4. How much does Farhan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  13. 13.12 : 6 = 96 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  19. 19.3 : 5 = 21 : ?
  20. 20.Divide ₹210 between Arjun and Kavya in the ratio 5 : 1. How much does Arjun get (in ₹)?
  21. 21.Divide ₹319 between Kabir and Aarav in the ratio 8 : 3. How much does Kabir get (in ₹)?
  22. 22.12 : 15 = 36 : ?
  23. 23.Divide ₹220 between Farhan and Rahul in the ratio 2 : 9. How much does Farhan get (in ₹)?
  24. 24.Divide ₹108 between Tara and Rahul in the ratio 2 : 7. How much does Tara get (in ₹)?
  25. 25.9 : 2 = 18 : ?
  26. 26.Divide ₹222 between Manav and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  29. 29.Divide ₹156 between Meera and Karan in the ratio 5 : 8. How much does Meera get (in ₹)?
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.7 : 6 = 56 : ?
  32. 32.10 : 8 = 20 : ?
  33. 33.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  35. 35.Divide ₹216 between Diya and Meera in the ratio 3 : 5. How much does Diya get (in ₹)?
  36. 36.10 : 4 = 50 : ?
  37. 37.Divide ₹265 between Arjun and Vivaan in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  38. 38.10 : 8 = 90 : ?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 100
  2. 40
  3. 20
  4. 20
  5. 18
  6. 8
  7. 125
  8. 27
  9. 87
  10. 56
  11. 136
  12. 27
  13. 48
  14. 6
  15. 4
  16. 45
  17. 40
  18. 49
  19. 35
  20. 175
  21. 232
  22. 45
  23. 40
  24. 24
  25. 4
  26. 185
  27. 81
  28. 36
  29. 60
  30. 48
  31. 48
  32. 16
  33. 36
  34. 6
  35. 81
  36. 20
  37. 212
  38. 72
  39. 12
  40. 8

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