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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 817 · 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 ₹220 between Kabir and Kavya in the ratio 3 : 1. How much does Kabir get (in ₹)?
  2. 2.Divide ₹240 between Rahul and Zoya in the ratio 2 : 3. How much does Rahul get (in ₹)?
  3. 3.Divide ₹63 between Arjun and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
  4. 4.Divide ₹153 between Meera and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
  5. 5.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  6. 6.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  7. 7.11 : 5 = 44 : ?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  10. 10.Divide ₹99 between Meera and Manav in the ratio 1 : 8. How much does Meera get (in ₹)?
  11. 11.Divide ₹400 between Ananya and Kabir in the ratio 3 : 7. How much does Ananya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  13. 13.Divide ₹408 between Meera and Tara in the ratio 7 : 5. How much does Tara get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  18. 18.12 : 9 = 108 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.Divide ₹296 between Diya and Kabir in the ratio 7 : 1. How much does Kabir get (in ₹)?
  22. 22.Divide ₹203 between Arjun and Zoya in the ratio 1 : 6. How much does Zoya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  24. 24.5 : 6 = 20 : ?
  25. 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  26. 26.Divide ₹110 between Meera and Vivaan in the ratio 2 : 9. How much does Meera get (in ₹)?
  27. 27.Divide ₹49 between Aarav and Rahul in the ratio 1 : 6. How much does Aarav get (in ₹)?
  28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  29. 29.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  30. 30.12 : 7 = 72 : ?
  31. 31.Divide ₹330 between Tara and Rohan in the ratio 5 : 1. How much does Tara get (in ₹)?
  32. 32.7 : 14 = 35 : ?
  33. 33.8 : 12 = 72 : ?
  34. 34.11 : 5 = 55 : ?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  37. 37.11 : 8 = 22 : ?
  38. 38.Divide ₹255 between Zoya and Manav in the ratio 3 : 2. How much does Manav get (in ₹)?
  39. 39.8 : 15 = 64 : ?
  40. 40.Divide ₹424 between Sneha and Rohan in the ratio 3 : 5. How much does Sneha get (in ₹)?

Answer key

  1. 165
  2. 96
  3. 54
  4. 136
  5. 112
  6. 16
  7. 20
  8. 8
  9. 56
  10. 11
  11. 120
  12. 20
  13. 170
  14. 16
  15. 4
  16. 3
  17. 4
  18. 81
  19. 18
  20. 36
  21. 37
  22. 174
  23. 28
  24. 24
  25. 64
  26. 20
  27. 7
  28. 63
  29. 7
  30. 42
  31. 275
  32. 70
  33. 108
  34. 25
  35. 48
  36. 125
  37. 16
  38. 102
  39. 120
  40. 159

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