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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 54 · 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 25 (that is, 5 : 25 = 25 : ?).
  2. 2.Divide ₹130 between Kabir and Ananya in the ratio 7 : 6. How much does Kabir get (in ₹)?
  3. 3.4 : 2 = 8 : ?
  4. 4.Divide ₹238 between Aditya and Manav in the ratio 5 : 2. How much does Aditya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  6. 6.Divide ₹403 between Meera and Diya in the ratio 6 : 7. How much does Diya get (in ₹)?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.Divide ₹132 between Tara and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  9. 9.Divide ₹140 between Diya and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  10. 10.5 : 10 = 35 : ?
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  13. 13.Divide ₹539 between Diya and Kavya in the ratio 3 : 8. How much does Kavya get (in ₹)?
  14. 14.5 : 7 = 20 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  16. 16.Divide ₹649 between Sneha and Arjun in the ratio 8 : 3. How much does Arjun get (in ₹)?
  17. 17.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  18. 18.Divide ₹387 between Priya and Rahul in the ratio 4 : 5. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.11 : 14 = 22 : ?
  21. 21.Divide ₹756 between Sneha and Manav in the ratio 5 : 9. How much does Sneha get (in ₹)?
  22. 22.Divide ₹40 between Kavya and Farhan in the ratio 1 : 3. How much does Kavya get (in ₹)?
  23. 23.8 : 5 = 56 : ?
  24. 24.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  25. 25.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.Divide ₹329 between Nisha and Saanvi in the ratio 1 : 6. How much does Nisha get (in ₹)?
  28. 28.10 : 9 = 20 : ?
  29. 29.10 : 13 = 50 : ?
  30. 30.7 : 14 = 56 : ?
  31. 31.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  32. 32.Divide ₹126 between Priya and Isha in the ratio 5 : 4. How much does Priya get (in ₹)?
  33. 33.Divide ₹220 between Meera and Priya in the ratio 7 : 4. How much does Meera get (in ₹)?
  34. 34.12 : 6 = 36 : ?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.Divide ₹330 between Meera and Dev in the ratio 2 : 9. How much does Meera get (in ₹)?
  38. 38.11 : 13 = 66 : ?
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.7 : 6 = 63 : ?

Answer key

  1. 125
  2. 70
  3. 4
  4. 170
  5. 6
  6. 217
  7. 80
  8. 22
  9. 80
  10. 70
  11. 12
  12. 64
  13. 392
  14. 28
  15. 21
  16. 177
  17. 36
  18. 172
  19. 32
  20. 28
  21. 270
  22. 10
  23. 35
  24. 54
  25. 150
  26. 100
  27. 47
  28. 18
  29. 65
  30. 112
  31. 96
  32. 70
  33. 140
  34. 18
  35. 3
  36. 27
  37. 60
  38. 78
  39. 128
  40. 54

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