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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 380 · 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 6 and 18 (that is, 6 : 18 = 18 : ?).
  2. 2.4 : 8 = 12 : ?
  3. 3.Divide ₹250 between Pooja and Isha in the ratio 1 : 4. How much does Isha get (in ₹)?
  4. 4.9 : 6 = 18 : ?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.Divide ₹80 between Karan and Ishaan in the ratio 3 : 7. How much does Karan get (in ₹)?
  9. 9.4 : 7 = 16 : ?
  10. 10.11 : 8 = 88 : ?
  11. 11.Divide ₹385 between Meera and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  12. 12.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  13. 13.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  14. 14.4 : 6 = 20 : ?
  15. 15.3 : 11 = 9 : ?
  16. 16.2 : 5 = 6 : ?
  17. 17.5 : 8 = 45 : ?
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  20. 20.Divide ₹168 between Kavya and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
  21. 21.10 : 5 = 50 : ?
  22. 22.Divide ₹242 between Isha and Aditya in the ratio 3 : 8. How much does Aditya get (in ₹)?
  23. 23.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  24. 24.4 : 9 = 20 : ?
  25. 25.Divide ₹80 between Sneha and Zoya in the ratio 1 : 7. How much does Sneha get (in ₹)?
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  30. 30.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  31. 31.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  32. 32.10 : 12 = 90 : ?
  33. 33.11 : 13 = 99 : ?
  34. 34.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  36. 36.Divide ₹252 between Kabir and Manav in the ratio 7 : 5. How much does Manav get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  39. 39.Divide ₹42 between Nisha and Arjun in the ratio 1 : 5. How much does Arjun get (in ₹)?
  40. 40.Divide ₹40 between Aarav and Rohan in the ratio 7 : 1. How much does Rohan get (in ₹)?

Answer key

  1. 54
  2. 24
  3. 200
  4. 12
  5. 200
  6. 16
  7. 18
  8. 24
  9. 28
  10. 64
  11. 55
  12. 96
  13. 10
  14. 30
  15. 33
  16. 15
  17. 72
  18. 50
  19. 42
  20. 96
  21. 25
  22. 176
  23. 80
  24. 45
  25. 10
  26. 112
  27. 54
  28. 8
  29. 10
  30. 128
  31. 40
  32. 108
  33. 117
  34. 144
  35. 32
  36. 105
  37. 21
  38. 6
  39. 35
  40. 5

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