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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 742 · 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 3 : 1. There are 6 boys. How many girls are there?
  2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  3. 3.Divide ₹676 between Priya and Zoya in the ratio 8 : 5. How much does Zoya get (in ₹)?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.11 : 14 = 66 : ?
  6. 6.2 : 6 = 12 : ?
  7. 7.Divide ₹64 between Meera and Vivaan in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  9. 9.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  10. 10.7 : 8 = 42 : ?
  11. 11.Divide ₹696 between Karan and Pooja in the ratio 5 : 7. How much does Pooja get (in ₹)?
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.Divide ₹275 between Aditya and Nisha in the ratio 7 : 4. How much does Nisha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  17. 17.4 : 7 = 24 : ?
  18. 18.11 : 4 = 66 : ?
  19. 19.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  20. 20.6 : 15 = 12 : ?
  21. 21.Divide ₹243 between Aditya and Tara in the ratio 5 : 4. How much does Tara get (in ₹)?
  22. 22.5 : 10 = 45 : ?
  23. 23.Divide ₹660 between Kabir and Manav in the ratio 6 : 5. How much does Manav get (in ₹)?
  24. 24.Divide ₹90 between Ishaan and Saanvi in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  25. 25.Divide ₹299 between Farhan and Rohan in the ratio 4 : 9. How much does Rohan get (in ₹)?
  26. 26.Divide ₹110 between Arjun and Manav in the ratio 3 : 2. How much does Arjun get (in ₹)?
  27. 27.3 : 7 = 9 : ?
  28. 28.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  29. 29.Divide ₹580 between Meera and Kavya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  30. 30.Divide ₹140 between Ishaan and Vivaan in the ratio 2 : 5. How much does Ishaan get (in ₹)?
  31. 31.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  32. 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  33. 33.Divide ₹969 between Vivaan and Karan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  34. 34.Divide ₹220 between Kavya and Zoya in the ratio 7 : 4. How much does Kavya get (in ₹)?
  35. 35.Divide ₹45 between Arjun and Rohan in the ratio 1 : 4. How much does Arjun get (in ₹)?
  36. 36.Divide ₹195 between Rohan and Dev in the ratio 4 : 9. How much does Dev get (in ₹)?
  37. 37.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  38. 38.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  39. 39.11 : 5 = 77 : ?
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 2
  2. 36
  3. 260
  4. 16
  5. 84
  6. 36
  7. 16
  8. 12
  9. 63
  10. 48
  11. 406
  12. 72
  13. 100
  14. 10
  15. 30
  16. 16
  17. 42
  18. 24
  19. 9
  20. 30
  21. 108
  22. 90
  23. 300
  24. 9
  25. 207
  26. 66
  27. 21
  28. 144
  29. 174
  30. 40
  31. 112
  32. 50
  33. 456
  34. 140
  35. 9
  36. 135
  37. 96
  38. 20
  39. 35
  40. 81

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