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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 583 · 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 9 and 27 (that is, 9 : 27 = 27 : ?).
  2. 2.Divide ₹126 between Meera and Priya in the ratio 3 : 4. How much does Meera get (in ₹)?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Divide ₹165 between Pooja and Kavya in the ratio 3 : 2. How much does Pooja get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  6. 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  7. 7.Divide ₹780 between Ananya and Kavya in the ratio 7 : 6. How much does Kavya get (in ₹)?
  8. 8.Divide ₹493 between Ishaan and Aditya in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  9. 9.Divide ₹371 between Ananya and Karan in the ratio 1 : 6. How much does Ananya get (in ₹)?
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.Divide ₹616 between Isha and Sneha in the ratio 4 : 7. How much does Isha get (in ₹)?
  12. 12.Divide ₹330 between Rohan and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  13. 13.Divide ₹616 between Arjun and Saanvi in the ratio 5 : 6. How much does Arjun get (in ₹)?
  14. 14.5 : 15 = 35 : ?
  15. 15.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  16. 16.2 : 3 = 18 : ?
  17. 17.4 : 15 = 24 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  19. 19.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  21. 21.6 : 11 = 12 : ?
  22. 22.12 : 7 = 108 : ?
  23. 23.Divide ₹60 between Farhan and Diya in the ratio 9 : 1. How much does Farhan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
  25. 25.5 : 6 = 30 : ?
  26. 26.5 : 6 = 35 : ?
  27. 27.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.Divide ₹540 between Isha and Pooja in the ratio 7 : 8. How much does Pooja get (in ₹)?
  30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  31. 31.11 : 3 = 55 : ?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.7 : 15 = 63 : ?
  34. 34.5 : 10 = 15 : ?
  35. 35.11 : 13 = 88 : ?
  36. 36.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  37. 37.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  38. 38.Divide ₹117 between Kabir and Isha in the ratio 5 : 8. How much does Isha get (in ₹)?
  39. 39.Divide ₹676 between Nisha and Diya in the ratio 4 : 9. How much does Diya get (in ₹)?
  40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

Answer key

  1. 81
  2. 54
  3. 28
  4. 99
  5. 12
  6. 75
  7. 360
  8. 261
  9. 53
  10. 16
  11. 224
  12. 55
  13. 280
  14. 105
  15. 42
  16. 27
  17. 90
  18. 42
  19. 54
  20. 12
  21. 22
  22. 63
  23. 54
  24. 42
  25. 36
  26. 42
  27. 24
  28. 8
  29. 288
  30. 175
  31. 15
  32. 200
  33. 135
  34. 30
  35. 104
  36. 48
  37. 32
  38. 72
  39. 468
  40. 225

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