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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 339 · 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 6 and 30 (that is, 6 : 30 = 30 : ?).
  2. 2.4 : 11 = 16 : ?
  3. 3.6 : 5 = 48 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  5. 5.Divide ₹168 between Kabir and Arjun in the ratio 5 : 7. How much does Arjun get (in ₹)?
  6. 6.11 : 8 = 99 : ?
  7. 7.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  8. 8.Divide ₹143 between Meera and Kabir in the ratio 5 : 8. How much does Meera get (in ₹)?
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.Divide ₹708 between Sneha and Meera in the ratio 5 : 7. How much does Sneha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  13. 13.5 : 13 = 30 : ?
  14. 14.Divide ₹306 between Pooja and Aarav in the ratio 5 : 4. How much does Pooja get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  16. 16.7 : 9 = 56 : ?
  17. 17.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  18. 18.Divide ₹784 between Kabir and Ananya in the ratio 9 : 5. How much does Kabir get (in ₹)?
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.7 : 2 = 49 : ?
  21. 21.Divide ₹572 between Manav and Priya in the ratio 7 : 6. How much does Manav get (in ₹)?
  22. 22.Divide ₹217 between Manav and Saanvi in the ratio 1 : 6. How much does Manav get (in ₹)?
  23. 23.7 : 2 = 42 : ?
  24. 24.3 : 4 = 9 : ?
  25. 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  26. 26.Divide ₹40 between Zoya and Sneha in the ratio 5 : 3. How much does Sneha get (in ₹)?
  27. 27.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  29. 29.9 : 4 = 81 : ?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.11 : 13 = 66 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  34. 34.8 : 2 = 40 : ?
  35. 35.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  36. 36.6 : 4 = 48 : ?
  37. 37.Divide ₹150 between Tara and Meera in the ratio 2 : 3. How much does Meera get (in ₹)?
  38. 38.2 : 11 = 8 : ?
  39. 39.Divide ₹171 between Farhan and Ananya in the ratio 2 : 1. How much does Ananya get (in ₹)?
  40. 40.11 : 5 = 88 : ?

Answer key

  1. 150
  2. 44
  3. 40
  4. 12
  5. 98
  6. 72
  7. 45
  8. 55
  9. 54
  10. 295
  11. 24
  12. 24
  13. 78
  14. 170
  15. 56
  16. 72
  17. 81
  18. 504
  19. 144
  20. 14
  21. 308
  22. 31
  23. 12
  24. 12
  25. 45
  26. 15
  27. 8
  28. 16
  29. 36
  30. 20
  31. 78
  32. 72
  33. 50
  34. 10
  35. 125
  36. 32
  37. 90
  38. 44
  39. 57
  40. 40

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