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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 153 · 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 ₹221 between Ananya and Vivaan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
  3. 3.Divide ₹780 between Aarav and Tara in the ratio 6 : 7. How much does Aarav get (in ₹)?
  4. 4.Divide ₹528 between Priya and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  5. 5.Divide ₹385 between Manav and Meera in the ratio 8 : 3. How much does Manav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  7. 7.Divide ₹330 between Tara and Nisha in the ratio 8 : 7. How much does Tara get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  11. 11.Divide ₹240 between Arjun and Sneha in the ratio 3 : 7. How much does Sneha get (in ₹)?
  12. 12.11 : 9 = 66 : ?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.Divide ₹351 between Rahul and Aditya in the ratio 8 : 5. How much does Rahul get (in ₹)?
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.6 : 15 = 36 : ?
  17. 17.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  18. 18.Divide ₹207 between Meera and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.11 : 7 = 99 : ?
  22. 22.Divide ₹180 between Tara and Karan in the ratio 5 : 1. How much does Karan get (in ₹)?
  23. 23.Divide ₹50 between Saanvi and Aditya in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  24. 24.Divide ₹203 between Dev and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  25. 25.2 : 12 = 4 : ?
  26. 26.11 : 13 = 22 : ?
  27. 27.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  29. 29.10 : 2 = 20 : ?
  30. 30.3 : 13 = 27 : ?
  31. 31.Divide ₹72 between Karan and Kavya in the ratio 1 : 5. How much does Kavya get (in ₹)?
  32. 32.5 : 11 = 30 : ?
  33. 33.Divide ₹99 between Aditya and Diya in the ratio 8 : 3. How much does Diya get (in ₹)?
  34. 34.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  35. 35.Divide ₹250 between Rohan and Karan in the ratio 3 : 7. How much does Karan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  37. 37.Divide ₹296 between Ishaan and Priya in the ratio 3 : 5. How much does Ishaan get (in ₹)?
  38. 38.2 : 3 = 18 : ?
  39. 39.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 117
  2. 36
  3. 360
  4. 308
  5. 280
  6. 81
  7. 176
  8. 2
  9. 75
  10. 18
  11. 168
  12. 54
  13. 50
  14. 216
  15. 112
  16. 90
  17. 28
  18. 115
  19. 12
  20. 48
  21. 63
  22. 30
  23. 40
  24. 145
  25. 24
  26. 26
  27. 18
  28. 10
  29. 4
  30. 117
  31. 60
  32. 66
  33. 27
  34. 27
  35. 175
  36. 16
  37. 111
  38. 27
  39. 80
  40. 8

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