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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 82 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  2. 2.7 : 5 = 28 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  4. 4.Divide ₹169 between Meera and Rohan in the ratio 5 : 8. How much does Rohan get (in ₹)?
  5. 5.5 : 12 = 20 : ?
  6. 6.8 : 3 = 56 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  8. 8.2 : 3 = 18 : ?
  9. 9.Divide ₹580 between Diya and Rahul in the ratio 3 : 7. How much does Diya get (in ₹)?
  10. 10.12 : 7 = 108 : ?
  11. 11.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  12. 12.10 : 9 = 60 : ?
  13. 13.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  16. 16.Divide ₹70 between Diya and Aditya in the ratio 5 : 2. How much does Diya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  19. 19.Divide ₹234 between Ananya and Ishaan in the ratio 5 : 1. How much does Ananya get (in ₹)?
  20. 20.Divide ₹224 between Kavya and Rohan in the ratio 5 : 9. How much does Kavya get (in ₹)?
  21. 21.2 : 12 = 12 : ?
  22. 22.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  25. 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  26. 26.Divide ₹195 between Zoya and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
  27. 27.6 : 9 = 36 : ?
  28. 28.Divide ₹45 between Nisha and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
  29. 29.Divide ₹56 between Arjun and Manav in the ratio 7 : 1. How much does Arjun get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  31. 31.7 : 6 = 49 : ?
  32. 32.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  33. 33.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  34. 34.5 : 12 = 10 : ?
  35. 35.Divide ₹80 between Isha and Nisha in the ratio 3 : 5. How much does Nisha get (in ₹)?
  36. 36.Divide ₹377 between Dev and Aarav in the ratio 4 : 9. How much does Dev get (in ₹)?
  37. 37.Divide ₹104 between Zoya and Pooja in the ratio 3 : 5. How much does Zoya get (in ₹)?
  38. 38.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  39. 39.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  40. 40.3 : 8 = 6 : ?

Answer key

  1. 4
  2. 20
  3. 12
  4. 104
  5. 48
  6. 21
  7. 20
  8. 27
  9. 174
  10. 63
  11. 80
  12. 54
  13. 6
  14. 4
  15. 20
  16. 50
  17. 21
  18. 4
  19. 195
  20. 80
  21. 72
  22. 30
  23. 50
  24. 64
  25. 81
  26. 39
  27. 54
  28. 27
  29. 49
  30. 21
  31. 42
  32. 32
  33. 100
  34. 24
  35. 50
  36. 116
  37. 39
  38. 54
  39. 5
  40. 16

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