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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 782 · 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 7 and 14 (that is, 7 : 14 = 14 : ?).
  2. 2.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  7. 7.Divide ₹72 between Diya and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  8. 8.Divide ₹60 between Isha and Kavya in the ratio 3 : 7. How much does Kavya get (in ₹)?
  9. 9.7 : 5 = 35 : ?
  10. 10.8 : 2 = 32 : ?
  11. 11.Divide ₹63 between Arjun and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  12. 12.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  13. 13.Divide ₹70 between Tara and Meera in the ratio 2 : 3. How much does Tara get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  15. 15.9 : 13 = 27 : ?
  16. 16.2 : 3 = 10 : ?
  17. 17.Divide ₹154 between Rohan and Manav in the ratio 6 : 1. How much does Manav get (in ₹)?
  18. 18.Divide ₹810 between Diya and Rahul in the ratio 8 : 7. How much does Diya get (in ₹)?
  19. 19.12 : 2 = 36 : ?
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.11 : 14 = 44 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  23. 23.12 : 14 = 60 : ?
  24. 24.4 : 2 = 8 : ?
  25. 25.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  26. 26.4 : 6 = 28 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  29. 29.Divide ₹48 between Vivaan and Ishaan in the ratio 3 : 5. How much does Vivaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  31. 31.Divide ₹130 between Meera and Zoya in the ratio 7 : 6. How much does Meera get (in ₹)?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.Divide ₹232 between Ishaan and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  36. 36.Divide ₹533 between Isha and Nisha in the ratio 7 : 6. How much does Isha get (in ₹)?
  37. 37.6 : 15 = 12 : ?
  38. 38.Divide ₹285 between Farhan and Arjun in the ratio 3 : 2. How much does Arjun get (in ₹)?
  39. 39.Divide ₹45 between Pooja and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?

Answer key

  1. 28
  2. 28
  3. 18
  4. 150
  5. 32
  6. 72
  7. 60
  8. 42
  9. 25
  10. 8
  11. 21
  12. 96
  13. 28
  14. 72
  15. 39
  16. 15
  17. 22
  18. 432
  19. 6
  20. 72
  21. 56
  22. 35
  23. 70
  24. 4
  25. 20
  26. 42
  27. 16
  28. 72
  29. 18
  30. 4
  31. 70
  32. 125
  33. 58
  34. 16
  35. 40
  36. 287
  37. 30
  38. 114
  39. 10
  40. 7

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