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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 622 · 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.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  2. 2.Divide ₹129 between Ishaan and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  3. 3.12 : 14 = 24 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  5. 5.Divide ₹299 between Diya and Kabir in the ratio 6 : 7. How much does Kabir get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  8. 8.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  12. 12.8 : 14 = 24 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  14. 14.Divide ₹324 between Zoya and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  15. 15.Divide ₹840 between Kavya and Tara in the ratio 8 : 7. How much does Tara get (in ₹)?
  16. 16.Divide ₹140 between Nisha and Vivaan in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  18. 18.Divide ₹248 between Aditya and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
  19. 19.Divide ₹45 between Diya and Sneha in the ratio 1 : 8. How much does Diya get (in ₹)?
  20. 20.Divide ₹252 between Ishaan and Saanvi in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  21. 21.Divide ₹430 between Meera and Dev in the ratio 9 : 1. How much does Meera get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  23. 23.11 : 8 = 33 : ?
  24. 24.9 : 13 = 18 : ?
  25. 25.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  26. 26.12 : 10 = 48 : ?
  27. 27.7 : 3 = 14 : ?
  28. 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  30. 30.3 : 5 = 21 : ?
  31. 31.Divide ₹392 between Nisha and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
  32. 32.Divide ₹224 between Meera and Manav in the ratio 1 : 6. How much does Meera get (in ₹)?
  33. 33.Divide ₹360 between Ananya and Nisha in the ratio 1 : 5. How much does Ananya get (in ₹)?
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.11 : 4 = 33 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  37. 37.Divide ₹220 between Priya and Kabir in the ratio 7 : 4. How much does Kabir get (in ₹)?
  38. 38.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  39. 39.4 : 5 = 16 : ?
  40. 40.Divide ₹144 between Kavya and Rohan in the ratio 8 : 1. How much does Kavya get (in ₹)?

Answer key

  1. 8
  2. 86
  3. 28
  4. 18
  5. 161
  6. 16
  7. 144
  8. 15
  9. 12
  10. 75
  11. 28
  12. 42
  13. 18
  14. 72
  15. 392
  16. 120
  17. 112
  18. 217
  19. 5
  20. 42
  21. 387
  22. 12
  23. 24
  24. 26
  25. 30
  26. 40
  27. 6
  28. 27
  29. 12
  30. 35
  31. 343
  32. 32
  33. 60
  34. 36
  35. 12
  36. 6
  37. 80
  38. 200
  39. 20
  40. 128

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