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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 266 · 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 1 : 5. There are 4 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  3. 3.12 : 15 = 24 : ?
  4. 4.Divide ₹282 between Ananya and Kavya in the ratio 1 : 5. How much does Kavya get (in ₹)?
  5. 5.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  7. 7.Divide ₹225 between Kabir and Rohan in the ratio 2 : 3. How much does Kabir get (in ₹)?
  8. 8.5 : 15 = 30 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  11. 11.Divide ₹130 between Nisha and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  12. 12.Divide ₹208 between Arjun and Meera in the ratio 1 : 7. How much does Meera get (in ₹)?
  13. 13.9 : 11 = 27 : ?
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  16. 16.Divide ₹245 between Sneha and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  17. 17.Divide ₹105 between Saanvi and Sneha in the ratio 7 : 8. How much does Saanvi get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  19. 19.Divide ₹143 between Sneha and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  23. 23.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  24. 24.Divide ₹270 between Sneha and Pooja in the ratio 7 : 2. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  26. 26.Divide ₹154 between Vivaan and Ishaan in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  27. 27.Divide ₹280 between Priya and Farhan in the ratio 9 : 5. How much does Priya get (in ₹)?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.9 : 15 = 36 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  31. 31.9 : 2 = 54 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  33. 33.Divide ₹297 between Sneha and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  34. 34.Divide ₹384 between Kavya and Dev in the ratio 5 : 3. How much does Kavya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  37. 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  38. 38.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  39. 39.Divide ₹350 between Vivaan and Kavya in the ratio 7 : 3. How much does Vivaan get (in ₹)?
  40. 40.Divide ₹270 between Karan and Tara in the ratio 2 : 7. How much does Tara get (in ₹)?

Answer key

  1. 20
  2. 35
  3. 30
  4. 235
  5. 125
  6. 12
  7. 90
  8. 90
  9. 21
  10. 56
  11. 52
  12. 182
  13. 33
  14. 50
  15. 2
  16. 210
  17. 49
  18. 10
  19. 66
  20. 36
  21. 63
  22. 20
  23. 24
  24. 60
  25. 63
  26. 28
  27. 180
  28. 32
  29. 60
  30. 8
  31. 12
  32. 21
  33. 243
  34. 240
  35. 18
  36. 50
  37. 28
  38. 20
  39. 245
  40. 210

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