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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 480 · 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.Divide ₹708 between Farhan and Karan in the ratio 5 : 7. How much does Karan get (in ₹)?
  2. 2.Divide ₹517 between Priya and Aarav in the ratio 2 : 9. How much does Priya get (in ₹)?
  3. 3.Divide ₹247 between Isha and Aarav in the ratio 8 : 5. How much does Isha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.Divide ₹374 between Manav and Rohan in the ratio 8 : 9. How much does Rohan get (in ₹)?
  7. 7.10 : 14 = 80 : ?
  8. 8.Divide ₹63 between Meera and Dev in the ratio 4 : 3. How much does Dev get (in ₹)?
  9. 9.Divide ₹152 between Sneha and Farhan in the ratio 3 : 1. How much does Farhan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  13. 13.10 : 4 = 80 : ?
  14. 14.3 : 10 = 15 : ?
  15. 15.9 : 14 = 54 : ?
  16. 16.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  17. 17.Divide ₹144 between Rahul and Karan in the ratio 1 : 5. How much does Rahul get (in ₹)?
  18. 18.3 : 15 = 18 : ?
  19. 19.6 : 8 = 48 : ?
  20. 20.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  21. 21.Divide ₹330 between Ananya and Aditya in the ratio 1 : 9. How much does Ananya get (in ₹)?
  22. 22.Divide ₹496 between Ishaan and Priya in the ratio 7 : 9. How much does Priya get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.Divide ₹44 between Ishaan and Rohan in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  25. 25.Divide ₹100 between Isha and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  26. 26.3 : 14 = 12 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.5 : 15 = 30 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  30. 30.Divide ₹516 between Rohan and Kabir in the ratio 5 : 7. How much does Rohan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  32. 32.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  33. 33.9 : 3 = 18 : ?
  34. 34.Divide ₹198 between Aditya and Isha in the ratio 7 : 2. How much does Isha get (in ₹)?
  35. 35.3 : 15 = 15 : ?
  36. 36.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  37. 37.Divide ₹288 between Meera and Diya in the ratio 9 : 7. How much does Meera get (in ₹)?
  38. 38.4 : 2 = 24 : ?
  39. 39.3 : 11 = 9 : ?
  40. 40.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).

Answer key

  1. 413
  2. 94
  3. 152
  4. 42
  5. 175
  6. 198
  7. 112
  8. 27
  9. 38
  10. 32
  11. 40
  12. 18
  13. 32
  14. 50
  15. 84
  16. 64
  17. 24
  18. 90
  19. 64
  20. 24
  21. 33
  22. 279
  23. 125
  24. 33
  25. 40
  26. 56
  27. 16
  28. 90
  29. 18
  30. 215
  31. 40
  32. 96
  33. 6
  34. 44
  35. 75
  36. 36
  37. 162
  38. 12
  39. 33
  40. 45

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