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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 867 · 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 7 : 5. There are 21 boys. How many girls are there?
  2. 2.Divide ₹286 between Meera and Pooja in the ratio 4 : 9. How much does Pooja get (in ₹)?
  3. 3.Divide ₹387 between Nisha and Kabir in the ratio 1 : 8. How much does Kabir get (in ₹)?
  4. 4.Divide ₹77 between Rahul and Nisha in the ratio 4 : 3. How much does Rahul get (in ₹)?
  5. 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  6. 6.Divide ₹570 between Priya and Meera in the ratio 3 : 7. How much does Meera get (in ₹)?
  7. 7.Divide ₹352 between Karan and Aarav in the ratio 3 : 8. How much does Karan get (in ₹)?
  8. 8.2 : 3 = 16 : ?
  9. 9.Divide ₹205 between Diya and Rohan in the ratio 4 : 1. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.Divide ₹90 between Zoya and Kabir in the ratio 3 : 7. How much does Kabir get (in ₹)?
  12. 12.Divide ₹495 between Rahul and Aditya in the ratio 5 : 6. How much does Rahul get (in ₹)?
  13. 13.4 : 3 = 20 : ?
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.Divide ₹96 between Kavya and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
  16. 16.7 : 2 = 42 : ?
  17. 17.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  22. 22.10 : 4 = 80 : ?
  23. 23.12 : 10 = 108 : ?
  24. 24.9 : 2 = 36 : ?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  27. 27.7 : 5 = 14 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  30. 30.Divide ₹96 between Kavya and Meera in the ratio 1 : 7. How much does Kavya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  35. 35.Divide ₹198 between Arjun and Vivaan in the ratio 1 : 8. How much does Arjun get (in ₹)?
  36. 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  37. 37.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  39. 39.12 : 9 = 24 : ?
  40. 40.Divide ₹574 between Diya and Ananya in the ratio 5 : 9. How much does Diya get (in ₹)?

Answer key

  1. 15
  2. 198
  3. 344
  4. 44
  5. 16
  6. 399
  7. 96
  8. 24
  9. 164
  10. 12
  11. 63
  12. 225
  13. 15
  14. 50
  15. 64
  16. 12
  17. 18
  18. 144
  19. 128
  20. 36
  21. 32
  22. 32
  23. 90
  24. 8
  25. 27
  26. 16
  27. 10
  28. 70
  29. 3
  30. 12
  31. 12
  32. 2
  33. 8
  34. 18
  35. 22
  36. 54
  37. 10
  38. 6
  39. 18
  40. 205

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