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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 754 · 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. 1.9 : 15 = 27 : ?
  2. 2.Divide ₹360 between Meera and Aditya in the ratio 3 : 5. How much does Meera get (in ₹)?
  3. 3.4 : 8 = 12 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.6 : 2 = 48 : ?
  9. 9.Divide ₹364 between Rahul and Nisha in the ratio 7 : 6. How much does Rahul get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.Divide ₹345 between Aditya and Nisha in the ratio 8 : 7. How much does Aditya get (in ₹)?
  12. 12.11 : 7 = 66 : ?
  13. 13.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  14. 14.Divide ₹225 between Ananya and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  15. 15.Divide ₹54 between Diya and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.2 : 8 = 6 : ?
  18. 18.Divide ₹480 between Aarav and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  19. 19.Divide ₹580 between Manav and Zoya in the ratio 1 : 9. How much does Manav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  22. 22.5 : 10 = 30 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  24. 24.Divide ₹605 between Tara and Aditya in the ratio 2 : 9. How much does Tara get (in ₹)?
  25. 25.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.Divide ₹464 between Ananya and Kabir in the ratio 3 : 5. How much does Ananya get (in ₹)?
  28. 28.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  29. 29.Divide ₹280 between Nisha and Ishaan in the ratio 9 : 1. How much does Nisha get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  34. 34.12 : 15 = 108 : ?
  35. 35.8 : 3 = 24 : ?
  36. 36.Divide ₹637 between Tara and Pooja in the ratio 7 : 6. How much does Tara get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  38. 38.Divide ₹42 between Arjun and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
  39. 39.3 : 7 = 27 : ?
  40. 40.Divide ₹105 between Aarav and Rohan in the ratio 3 : 4. How much does Aarav get (in ₹)?

Answer key

  1. 45
  2. 135
  3. 24
  4. 6
  5. 3
  6. 6
  7. 63
  8. 16
  9. 196
  10. 12
  11. 184
  12. 42
  13. 20
  14. 90
  15. 36
  16. 18
  17. 24
  18. 270
  19. 58
  20. 9
  21. 3
  22. 60
  23. 12
  24. 110
  25. 32
  26. 96
  27. 174
  28. 175
  29. 252
  30. 18
  31. 40
  32. 5
  33. 8
  34. 135
  35. 9
  36. 343
  37. 6
  38. 28
  39. 63
  40. 45

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