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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 901 · 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 4 : 5. There are 20 boys. How many girls are there?
  2. 2.8 : 12 = 48 : ?
  3. 3.Divide ₹60 between Tara and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.The ratio of boys to girls in a class is 9 : 8. There are 45 boys. How many girls are there?
  8. 8.Divide ₹387 between Karan and Pooja in the ratio 5 : 4. How much does Karan get (in ₹)?
  9. 9.11 : 12 = 66 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  11. 11.3 : 6 = 15 : ?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  14. 14.Divide ₹165 between Ananya and Farhan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  15. 15.Divide ₹33 between Arjun and Priya in the ratio 1 : 2. How much does Priya get (in ₹)?
  16. 16.9 : 7 = 36 : ?
  17. 17.Divide ₹416 between Zoya and Farhan in the ratio 5 : 8. How much does Farhan get (in ₹)?
  18. 18.2 : 10 = 12 : ?
  19. 19.Divide ₹204 between Karan and Nisha in the ratio 1 : 3. How much does Nisha get (in ₹)?
  20. 20.Divide ₹754 between Aditya and Nisha in the ratio 8 : 5. How much does Aditya get (in ₹)?
  21. 21.Divide ₹90 between Vivaan and Pooja in the ratio 3 : 2. How much does Pooja get (in ₹)?
  22. 22.7 : 8 = 63 : ?
  23. 23.Divide ₹539 between Rohan and Saanvi in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  25. 25.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  26. 26.9 : 11 = 81 : ?
  27. 27.2 : 8 = 16 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  29. 29.Divide ₹88 between Ananya and Tara in the ratio 3 : 8. How much does Tara get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  32. 32.Divide ₹315 between Zoya and Kabir in the ratio 1 : 8. How much does Zoya get (in ₹)?
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.6 : 4 = 36 : ?
  35. 35.Divide ₹238 between Dev and Sneha in the ratio 8 : 9. How much does Dev get (in ₹)?
  36. 36.Divide ₹456 between Kabir and Karan in the ratio 7 : 5. How much does Kabir get (in ₹)?
  37. 37.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  39. 39.Divide ₹413 between Ananya and Aarav in the ratio 3 : 4. How much does Aarav get (in ₹)?
  40. 40.8 : 2 = 56 : ?

Answer key

  1. 25
  2. 72
  3. 40
  4. 8
  5. 63
  6. 72
  7. 40
  8. 215
  9. 72
  10. 48
  11. 30
  12. 50
  13. 12
  14. 90
  15. 22
  16. 28
  17. 256
  18. 60
  19. 153
  20. 464
  21. 36
  22. 72
  23. 196
  24. 20
  25. 16
  26. 99
  27. 64
  28. 28
  29. 64
  30. 8
  31. 48
  32. 35
  33. 18
  34. 24
  35. 112
  36. 266
  37. 112
  38. 3
  39. 236
  40. 14

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