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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 596 · 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 : 4. There are 5 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  4. 4.3 : 9 = 24 : ?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  8. 8.4 : 12 = 8 : ?
  9. 9.Divide ₹176 between Arjun and Manav in the ratio 8 : 3. How much does Arjun get (in ₹)?
  10. 10.Divide ₹494 between Vivaan and Sneha in the ratio 8 : 5. How much does Vivaan get (in ₹)?
  11. 11.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  13. 13.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  14. 14.Divide ₹187 between Diya and Zoya in the ratio 2 : 9. How much does Zoya get (in ₹)?
  15. 15.Divide ₹128 between Rohan and Karan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  16. 16.10 : 3 = 50 : ?
  17. 17.9 : 14 = 81 : ?
  18. 18.Divide ₹175 between Priya and Rahul in the ratio 5 : 2. How much does Priya get (in ₹)?
  19. 19.Divide ₹640 between Aarav and Saanvi in the ratio 7 : 9. How much does Aarav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  21. 21.6 : 7 = 12 : ?
  22. 22.10 : 7 = 70 : ?
  23. 23.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  24. 24.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  25. 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  27. 27.Divide ₹663 between Saanvi and Kabir in the ratio 4 : 9. How much does Kabir get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  29. 29.4 : 2 = 36 : ?
  30. 30.Divide ₹154 between Manav and Priya in the ratio 3 : 8. How much does Manav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  32. 32.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  33. 33.Divide ₹399 between Ishaan and Priya in the ratio 1 : 6. How much does Ishaan get (in ₹)?
  34. 34.Divide ₹387 between Isha and Pooja in the ratio 8 : 1. How much does Isha get (in ₹)?
  35. 35.Divide ₹99 between Isha and Zoya in the ratio 8 : 3. How much does Isha get (in ₹)?
  36. 36.8 : 15 = 72 : ?
  37. 37.Divide ₹210 between Meera and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  38. 38.8 : 10 = 16 : ?
  39. 39.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?

Answer key

  1. 20
  2. 18
  3. 175
  4. 72
  5. 128
  6. 36
  7. 28
  8. 24
  9. 128
  10. 304
  11. 20
  12. 36
  13. 200
  14. 153
  15. 48
  16. 15
  17. 126
  18. 125
  19. 280
  20. 24
  21. 14
  22. 49
  23. 32
  24. 35
  25. 45
  26. 9
  27. 459
  28. 54
  29. 18
  30. 42
  31. 9
  32. 144
  33. 57
  34. 344
  35. 72
  36. 135
  37. 84
  38. 20
  39. 125
  40. 10

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