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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 788 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.7 : 14 = 28 : ?
  5. 5.Divide ₹336 between Aarav and Meera in the ratio 5 : 9. How much does Meera get (in ₹)?
  6. 6.Divide ₹154 between Rahul and Sneha in the ratio 5 : 6. How much does Rahul get (in ₹)?
  7. 7.Divide ₹550 between Farhan and Rohan in the ratio 9 : 1. How much does Farhan get (in ₹)?
  8. 8.8 : 3 = 72 : ?
  9. 9.2 : 3 = 4 : ?
  10. 10.11 : 3 = 33 : ?
  11. 11.Divide ₹169 between Kavya and Priya in the ratio 4 : 9. How much does Kavya get (in ₹)?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.4 : 2 = 12 : ?
  14. 14.Divide ₹117 between Kabir and Nisha in the ratio 1 : 2. How much does Kabir get (in ₹)?
  15. 15.11 : 10 = 66 : ?
  16. 16.Divide ₹252 between Arjun and Nisha in the ratio 5 : 9. How much does Arjun get (in ₹)?
  17. 17.Divide ₹364 between Rahul and Pooja in the ratio 5 : 9. How much does Pooja get (in ₹)?
  18. 18.2 : 9 = 6 : ?
  19. 19.Divide ₹54 between Karan and Aarav in the ratio 2 : 7. How much does Karan get (in ₹)?
  20. 20.Divide ₹369 between Ishaan and Vivaan in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  21. 21.12 : 3 = 24 : ?
  22. 22.Divide ₹252 between Diya and Arjun in the ratio 5 : 7. How much does Arjun get (in ₹)?
  23. 23.2 : 4 = 12 : ?
  24. 24.Divide ₹156 between Aditya and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  26. 26.2 : 11 = 14 : ?
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.Divide ₹105 between Rohan and Priya in the ratio 5 : 2. How much does Priya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  30. 30.Divide ₹120 between Meera and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  32. 32.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  33. 33.Divide ₹216 between Ishaan and Meera in the ratio 7 : 1. How much does Meera get (in ₹)?
  34. 34.12 : 5 = 60 : ?
  35. 35.Divide ₹624 between Saanvi and Aarav in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  36. 36.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  37. 37.10 : 15 = 50 : ?
  38. 38.Divide ₹133 between Ishaan and Pooja in the ratio 4 : 3. How much does Pooja get (in ₹)?
  39. 39.Divide ₹120 between Ishaan and Karan in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?

Answer key

  1. 75
  2. 64
  3. 125
  4. 56
  5. 216
  6. 70
  7. 495
  8. 27
  9. 6
  10. 9
  11. 52
  12. 36
  13. 6
  14. 39
  15. 60
  16. 90
  17. 234
  18. 27
  19. 12
  20. 41
  21. 6
  22. 147
  23. 24
  24. 52
  25. 6
  26. 77
  27. 32
  28. 30
  29. 2
  30. 12
  31. 18
  32. 27
  33. 27
  34. 25
  35. 432
  36. 24
  37. 75
  38. 57
  39. 80
  40. 7

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