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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 809 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.Divide ₹140 between Dev and Karan in the ratio 2 : 5. How much does Dev get (in ₹)?
  3. 3.Divide ₹637 between Ananya and Sneha in the ratio 6 : 7. How much does Sneha get (in ₹)?
  4. 4.Divide ₹280 between Ishaan and Pooja in the ratio 9 : 5. How much does Pooja get (in ₹)?
  5. 5.2 : 10 = 16 : ?
  6. 6.5 : 12 = 30 : ?
  7. 7.4 : 8 = 20 : ?
  8. 8.Divide ₹140 between Rohan and Vivaan in the ratio 4 : 3. How much does Rohan get (in ₹)?
  9. 9.11 : 13 = 22 : ?
  10. 10.9 : 7 = 54 : ?
  11. 11.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  15. 15.Divide ₹80 between Aditya and Farhan in the ratio 4 : 1. How much does Farhan get (in ₹)?
  16. 16.Divide ₹220 between Manav and Dev in the ratio 4 : 7. How much does Manav get (in ₹)?
  17. 17.3 : 13 = 18 : ?
  18. 18.Divide ₹826 between Kabir and Ananya in the ratio 5 : 9. How much does Kabir get (in ₹)?
  19. 19.5 : 6 = 35 : ?
  20. 20.Divide ₹99 between Sneha and Dev in the ratio 9 : 2. How much does Dev get (in ₹)?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.12 : 11 = 84 : ?
  23. 23.Divide ₹374 between Aditya and Saanvi in the ratio 3 : 8. How much does Saanvi get (in ₹)?
  24. 24.12 : 11 = 36 : ?
  25. 25.Divide ₹91 between Dev and Manav in the ratio 6 : 1. How much does Dev get (in ₹)?
  26. 26.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  28. 28.11 : 9 = 99 : ?
  29. 29.Divide ₹315 between Farhan and Arjun in the ratio 4 : 3. How much does Farhan get (in ₹)?
  30. 30.12 : 5 = 72 : ?
  31. 31.6 : 15 = 18 : ?
  32. 32.5 : 7 = 40 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  35. 35.Divide ₹245 between Saanvi and Kavya in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  36. 36.11 : 9 = 22 : ?
  37. 37.Divide ₹585 between Arjun and Farhan in the ratio 7 : 6. How much does Arjun get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  39. 39.10 : 6 = 70 : ?
  40. 40.Divide ₹48 between Isha and Rohan in the ratio 1 : 3. How much does Isha get (in ₹)?

Answer key

  1. 45
  2. 40
  3. 343
  4. 100
  5. 80
  6. 72
  7. 40
  8. 80
  9. 26
  10. 42
  11. 54
  12. 24
  13. 150
  14. 21
  15. 16
  16. 80
  17. 78
  18. 295
  19. 42
  20. 18
  21. 32
  22. 77
  23. 272
  24. 33
  25. 78
  26. 48
  27. 36
  28. 81
  29. 180
  30. 30
  31. 45
  32. 56
  33. 14
  34. 14
  35. 70
  36. 18
  37. 315
  38. 27
  39. 42
  40. 12

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