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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 892 · 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.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  3. 3.Divide ₹184 between Isha and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
  4. 4.Divide ₹672 between Kabir and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  5. 5.Divide ₹533 between Aarav and Aditya in the ratio 6 : 7. How much does Aarav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  7. 7.2 : 13 = 12 : ?
  8. 8.Divide ₹90 between Karan and Farhan in the ratio 3 : 2. How much does Farhan get (in ₹)?
  9. 9.9 : 14 = 72 : ?
  10. 10.8 : 2 = 24 : ?
  11. 11.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  12. 12.7 : 3 = 35 : ?
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  16. 16.6 : 2 = 12 : ?
  17. 17.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  19. 19.Divide ₹336 between Meera and Rohan in the ratio 5 : 7. How much does Meera get (in ₹)?
  20. 20.Divide ₹78 between Arjun and Aarav in the ratio 8 : 5. How much does Aarav get (in ₹)?
  21. 21.2 : 4 = 16 : ?
  22. 22.Divide ₹207 between Ishaan and Farhan in the ratio 7 : 2. How much does Ishaan get (in ₹)?
  23. 23.4 : 7 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  25. 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  27. 27.Divide ₹295 between Rohan and Manav in the ratio 1 : 4. How much does Manav get (in ₹)?
  28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  29. 29.Divide ₹64 between Meera and Rohan in the ratio 5 : 3. How much does Rohan get (in ₹)?
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.2 : 7 = 4 : ?
  32. 32.Divide ₹175 between Saanvi and Sneha in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  33. 33.Divide ₹171 between Aarav and Priya in the ratio 1 : 8. How much does Aarav get (in ₹)?
  34. 34.Divide ₹570 between Farhan and Ananya in the ratio 9 : 1. How much does Farhan get (in ₹)?
  35. 35.2 : 5 = 8 : ?
  36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  40. 40.Divide ₹406 between Kavya and Rahul in the ratio 2 : 5. How much does Rahul get (in ₹)?

Answer key

  1. 28
  2. 50
  3. 46
  4. 378
  5. 246
  6. 12
  7. 78
  8. 36
  9. 112
  10. 6
  11. 50
  12. 15
  13. 16
  14. 64
  15. 6
  16. 4
  17. 27
  18. 45
  19. 140
  20. 30
  21. 32
  22. 161
  23. 35
  24. 42
  25. 45
  26. 10
  27. 236
  28. 125
  29. 24
  30. 28
  31. 14
  32. 100
  33. 19
  34. 513
  35. 20
  36. 175
  37. 20
  38. 24
  39. 18
  40. 290

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