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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 392 · 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. 1.9 : 5 = 36 : ?
  2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  3. 3.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  4. 4.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  5. 5.9 : 10 = 36 : ?
  6. 6.2 : 4 = 4 : ?
  7. 7.Divide ₹78 between Isha and Manav in the ratio 6 : 7. How much does Isha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  10. 10.Divide ₹88 between Zoya and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  11. 11.11 : 8 = 88 : ?
  12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  13. 13.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  14. 14.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  16. 16.10 : 9 = 90 : ?
  17. 17.Divide ₹583 between Rohan and Aditya in the ratio 7 : 4. How much does Rohan get (in ₹)?
  18. 18.Divide ₹315 between Arjun and Ananya in the ratio 5 : 2. How much does Ananya get (in ₹)?
  19. 19.10 : 7 = 20 : ?
  20. 20.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  21. 21.Divide ₹175 between Arjun and Priya in the ratio 1 : 6. How much does Arjun get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  24. 24.Divide ₹200 between Sneha and Kabir in the ratio 3 : 5. How much does Kabir get (in ₹)?
  25. 25.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  28. 28.Divide ₹108 between Arjun and Diya in the ratio 7 : 2. How much does Arjun get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  30. 30.Divide ₹49 between Isha and Arjun in the ratio 5 : 2. How much does Isha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  32. 32.5 : 8 = 40 : ?
  33. 33.Divide ₹112 between Rahul and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  34. 34.Divide ₹341 between Sneha and Tara in the ratio 6 : 5. How much does Tara get (in ₹)?
  35. 35.Divide ₹767 between Vivaan and Arjun in the ratio 5 : 8. How much does Arjun get (in ₹)?
  36. 36.7 : 8 = 49 : ?
  37. 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  38. 38.Divide ₹477 between Tara and Meera in the ratio 1 : 8. How much does Tara get (in ₹)?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.8 : 11 = 48 : ?

Answer key

  1. 20
  2. 28
  3. 36
  4. 112
  5. 40
  6. 8
  7. 36
  8. 90
  9. 12
  10. 56
  11. 64
  12. 48
  13. 8
  14. 5
  15. 81
  16. 81
  17. 371
  18. 90
  19. 14
  20. 20
  21. 25
  22. 54
  23. 16
  24. 125
  25. 20
  26. 12
  27. 50
  28. 84
  29. 16
  30. 35
  31. 8
  32. 64
  33. 48
  34. 155
  35. 472
  36. 56
  37. 16
  38. 53
  39. 27
  40. 66

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