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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 856 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹150 between Aditya and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  3. 3.Divide ₹175 between Zoya and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  4. 4.Divide ₹364 between Sneha and Meera in the ratio 5 : 8. How much does Sneha get (in ₹)?
  5. 5.Divide ₹308 between Zoya and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.11 : 15 = 66 : ?
  10. 10.Divide ₹252 between Manav and Sneha in the ratio 4 : 3. How much does Manav get (in ₹)?
  11. 11.Divide ₹301 between Kavya and Ananya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  15. 15.Divide ₹572 between Karan and Farhan in the ratio 2 : 9. How much does Farhan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  17. 17.11 : 13 = 22 : ?
  18. 18.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  20. 20.Divide ₹456 between Ananya and Rohan in the ratio 7 : 1. How much does Rohan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  22. 22.8 : 7 = 24 : ?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.7 : 14 = 35 : ?
  25. 25.Divide ₹133 between Saanvi and Manav in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  26. 26.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  27. 27.12 : 7 = 72 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  30. 30.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  31. 31.10 : 11 = 70 : ?
  32. 32.Divide ₹165 between Vivaan and Farhan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  37. 37.Divide ₹510 between Manav and Nisha in the ratio 3 : 7. How much does Manav get (in ₹)?
  38. 38.Divide ₹390 between Aarav and Saanvi in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  39. 39.11 : 13 = 55 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?

Answer key

  1. 100
  2. 24
  3. 105
  4. 140
  5. 132
  6. 8
  7. 175
  8. 27
  9. 90
  10. 144
  11. 215
  12. 27
  13. 30
  14. 7
  15. 468
  16. 28
  17. 26
  18. 150
  19. 24
  20. 57
  21. 10
  22. 21
  23. 125
  24. 70
  25. 76
  26. 18
  27. 42
  28. 9
  29. 64
  30. 4
  31. 77
  32. 55
  33. 6
  34. 16
  35. 63
  36. 28
  37. 153
  38. 39
  39. 65
  40. 27

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