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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 268 · 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.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  2. 2.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  3. 3.Divide ₹133 between Aarav and Ishaan in the ratio 4 : 3. How much does Aarav get (in ₹)?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.11 : 15 = 22 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  12. 12.3 : 8 = 21 : ?
  13. 13.Divide ₹108 between Ishaan and Ananya in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  16. 16.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.10 : 2 = 80 : ?
  19. 19.7 : 5 = 21 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  21. 21.Divide ₹288 between Aditya and Meera in the ratio 7 : 2. How much does Aditya get (in ₹)?
  22. 22.3 : 6 = 24 : ?
  23. 23.Divide ₹470 between Manav and Karan in the ratio 1 : 9. How much does Manav get (in ₹)?
  24. 24.10 : 11 = 40 : ?
  25. 25.Divide ₹234 between Nisha and Ishaan in the ratio 1 : 5. How much does Nisha get (in ₹)?
  26. 26.Divide ₹104 between Meera and Vivaan in the ratio 7 : 1. How much does Meera get (in ₹)?
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.Divide ₹286 between Tara and Ishaan in the ratio 9 : 2. How much does Ishaan get (in ₹)?
  29. 29.Divide ₹588 between Dev and Zoya in the ratio 7 : 5. How much does Dev get (in ₹)?
  30. 30.Divide ₹212 between Kabir and Manav in the ratio 1 : 3. How much does Kabir get (in ₹)?
  31. 31.Divide ₹338 between Farhan and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  32. 32.Divide ₹161 between Karan and Aditya in the ratio 4 : 3. How much does Karan get (in ₹)?
  33. 33.9 : 15 = 45 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  38. 38.10 : 6 = 70 : ?
  39. 39.5 : 4 = 45 : ?
  40. 40.Divide ₹162 between Arjun and Karan in the ratio 1 : 2. How much does Arjun get (in ₹)?

Answer key

  1. 90
  2. 225
  3. 76
  4. 27
  5. 30
  6. 36
  7. 40
  8. 32
  9. 20
  10. 20
  11. 40
  12. 56
  13. 12
  14. 48
  15. 72
  16. 12
  17. 75
  18. 16
  19. 15
  20. 72
  21. 224
  22. 48
  23. 47
  24. 44
  25. 39
  26. 91
  27. 200
  28. 52
  29. 343
  30. 53
  31. 130
  32. 92
  33. 75
  34. 50
  35. 8
  36. 125
  37. 54
  38. 42
  39. 36
  40. 54

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