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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 617 · 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 ₹210 between Farhan and Karan in the ratio 7 : 3. How much does Karan get (in ₹)?
  2. 2.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  3. 3.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  4. 4.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  5. 5.Divide ₹40 between Karan and Diya in the ratio 3 : 2. How much does Karan get (in ₹)?
  6. 6.Divide ₹116 between Tara and Farhan in the ratio 3 : 1. How much does Tara get (in ₹)?
  7. 7.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  8. 8.Divide ₹162 between Aditya and Kavya in the ratio 7 : 2. How much does Kavya get (in ₹)?
  9. 9.11 : 5 = 44 : ?
  10. 10.11 : 2 = 99 : ?
  11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  12. 12.2 : 15 = 14 : ?
  13. 13.Divide ₹504 between Aarav and Pooja in the ratio 8 : 1. How much does Pooja get (in ₹)?
  14. 14.Divide ₹294 between Meera and Diya in the ratio 4 : 3. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  19. 19.10 : 3 = 70 : ?
  20. 20.10 : 7 = 20 : ?
  21. 21.Divide ₹315 between Aarav and Sneha in the ratio 7 : 8. How much does Aarav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.Divide ₹288 between Tara and Nisha in the ratio 7 : 1. How much does Nisha get (in ₹)?
  25. 25.Divide ₹522 between Aarav and Zoya in the ratio 8 : 1. How much does Aarav get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  28. 28.11 : 2 = 33 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  31. 31.Divide ₹132 between Saanvi and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  32. 32.9 : 5 = 18 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  34. 34.Divide ₹198 between Arjun and Vivaan in the ratio 7 : 4. How much does Vivaan get (in ₹)?
  35. 35.Divide ₹570 between Saanvi and Farhan in the ratio 3 : 7. How much does Saanvi get (in ₹)?
  36. 36.Divide ₹160 between Arjun and Tara in the ratio 5 : 3. How much does Tara get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  38. 38.Divide ₹378 between Nisha and Saanvi in the ratio 2 : 7. How much does Nisha get (in ₹)?
  39. 39.2 : 15 = 8 : ?
  40. 40.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?

Answer key

  1. 63
  2. 125
  3. 45
  4. 144
  5. 24
  6. 87
  7. 112
  8. 36
  9. 20
  10. 18
  11. 32
  12. 105
  13. 56
  14. 168
  15. 16
  16. 8
  17. 45
  18. 9
  19. 21
  20. 14
  21. 147
  22. 18
  23. 50
  24. 36
  25. 464
  26. 15
  27. 8
  28. 6
  29. 24
  30. 35
  31. 22
  32. 10
  33. 25
  34. 72
  35. 171
  36. 60
  37. 35
  38. 84
  39. 60
  40. 35

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