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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 792 · 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).

NameDateTime takenScore ___ / 40
  1. 1.9 : 8 = 45 : ?
  2. 2.3 : 2 = 21 : ?
  3. 3.3 : 8 = 27 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  5. 5.7 : 6 = 56 : ?
  6. 6.Divide ₹140 between Sneha and Meera in the ratio 9 : 5. How much does Meera get (in ₹)?
  7. 7.3 : 15 = 27 : ?
  8. 8.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  9. 9.5 : 3 = 45 : ?
  10. 10.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  11. 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  12. 12.Divide ₹495 between Farhan and Zoya in the ratio 5 : 6. How much does Farhan get (in ₹)?
  13. 13.Divide ₹344 between Meera and Sneha in the ratio 3 : 5. How much does Meera get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.12 : 11 = 36 : ?
  17. 17.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.Divide ₹440 between Aarav and Zoya in the ratio 3 : 7. How much does Aarav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  21. 21.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  22. 22.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  23. 23.Divide ₹75 between Kabir and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
  24. 24.9 : 4 = 54 : ?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.10 : 4 = 80 : ?
  27. 27.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  29. 29.Divide ₹170 between Farhan and Arjun in the ratio 7 : 3. How much does Farhan get (in ₹)?
  30. 30.Divide ₹215 between Vivaan and Sneha in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  31. 31.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  32. 32.9 : 15 = 36 : ?
  33. 33.12 : 6 = 24 : ?
  34. 34.10 : 14 = 90 : ?
  35. 35.4 : 10 = 32 : ?
  36. 36.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  37. 37.Divide ₹186 between Sneha and Nisha in the ratio 5 : 1. How much does Sneha get (in ₹)?
  38. 38.Divide ₹480 between Karan and Zoya in the ratio 7 : 5. How much does Zoya get (in ₹)?
  39. 39.Divide ₹351 between Tara and Saanvi in the ratio 8 : 5. How much does Saanvi get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?

Answer key

  1. 40
  2. 14
  3. 72
  4. 64
  5. 48
  6. 50
  7. 135
  8. 10
  9. 27
  10. 72
  11. 175
  12. 225
  13. 129
  14. 10
  15. 64
  16. 33
  17. 80
  18. 24
  19. 132
  20. 9
  21. 144
  22. 125
  23. 45
  24. 24
  25. 32
  26. 32
  27. 36
  28. 50
  29. 119
  30. 43
  31. 54
  32. 60
  33. 12
  34. 126
  35. 80
  36. 16
  37. 155
  38. 200
  39. 135
  40. 18

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