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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 981 · 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 ₹248 between Ananya and Rahul in the ratio 3 : 5. How much does Ananya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  3. 3.Divide ₹300 between Ishaan and Isha in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Divide ₹136 between Diya and Sneha in the ratio 9 : 8. How much does Diya get (in ₹)?
  7. 7.Divide ₹336 between Farhan and Manav in the ratio 6 : 1. How much does Farhan get (in ₹)?
  8. 8.4 : 15 = 24 : ?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.11 : 10 = 55 : ?
  12. 12.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  13. 13.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  14. 14.Divide ₹675 between Aditya and Sneha in the ratio 8 : 7. How much does Aditya get (in ₹)?
  15. 15.2 : 11 = 4 : ?
  16. 16.4 : 2 = 12 : ?
  17. 17.Divide ₹216 between Rahul and Ananya in the ratio 7 : 5. How much does Ananya get (in ₹)?
  18. 18.Divide ₹144 between Kavya and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  19. 19.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  20. 20.5 : 14 = 15 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  22. 22.Divide ₹420 between Isha and Aditya in the ratio 7 : 8. How much does Isha get (in ₹)?
  23. 23.4 : 12 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  26. 26.Divide ₹121 between Nisha and Arjun in the ratio 5 : 6. How much does Nisha get (in ₹)?
  27. 27.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  28. 28.Divide ₹90 between Zoya and Aditya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.3 : 2 = 12 : ?
  32. 32.Divide ₹343 between Rohan and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  33. 33.Divide ₹143 between Ananya and Farhan in the ratio 9 : 2. How much does Ananya get (in ₹)?
  34. 34.Divide ₹928 between Kabir and Sneha in the ratio 7 : 9. How much does Kabir get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  36. 36.Divide ₹252 between Vivaan and Rohan in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹550 between Ishaan and Meera in the ratio 5 : 6. How much does Ishaan get (in ₹)?
  38. 38.9 : 2 = 36 : ?
  39. 39.Divide ₹152 between Farhan and Nisha in the ratio 3 : 1. How much does Farhan get (in ₹)?
  40. 40.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).

Answer key

  1. 93
  2. 27
  3. 180
  4. 27
  5. 24
  6. 72
  7. 288
  8. 90
  9. 42
  10. 45
  11. 50
  12. 125
  13. 40
  14. 360
  15. 22
  16. 6
  17. 90
  18. 32
  19. 75
  20. 42
  21. 15
  22. 196
  23. 60
  24. 20
  25. 12
  26. 55
  27. 150
  28. 20
  29. 35
  30. 144
  31. 8
  32. 49
  33. 117
  34. 406
  35. 6
  36. 180
  37. 250
  38. 8
  39. 114
  40. 200

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