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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 162 · 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. 1.6 : 7 = 36 : ?
  2. 2.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  3. 3.Divide ₹481 between Sneha and Vivaan in the ratio 9 : 4. How much does Vivaan get (in ₹)?
  4. 4.Divide ₹72 between Tara and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  8. 8.Divide ₹80 between Kabir and Dev in the ratio 7 : 9. How much does Kabir get (in ₹)?
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  11. 11.3 : 10 = 21 : ?
  12. 12.Divide ₹880 between Isha and Aarav in the ratio 9 : 7. How much does Isha get (in ₹)?
  13. 13.Divide ₹162 between Rohan and Pooja in the ratio 7 : 2. How much does Pooja get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  16. 16.Divide ₹627 between Saanvi and Kabir in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  17. 17.3 : 12 = 9 : ?
  18. 18.Divide ₹90 between Vivaan and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  19. 19.Divide ₹242 between Rahul and Arjun in the ratio 9 : 2. How much does Rahul get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.5 : 14 = 15 : ?
  23. 23.11 : 6 = 99 : ?
  24. 24.5 : 6 = 20 : ?
  25. 25.7 : 13 = 21 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  28. 28.9 : 15 = 18 : ?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  31. 31.6 : 13 = 30 : ?
  32. 32.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  33. 33.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  34. 34.7 : 2 = 56 : ?
  35. 35.Divide ₹384 between Zoya and Aditya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  36. 36.Divide ₹288 between Nisha and Kavya in the ratio 7 : 9. How much does Nisha get (in ₹)?
  37. 37.Divide ₹400 between Saanvi and Karan in the ratio 5 : 3. How much does Saanvi get (in ₹)?
  38. 38.4 : 14 = 8 : ?
  39. 39.5 : 11 = 40 : ?
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 42
  2. 16
  3. 148
  4. 64
  5. 25
  6. 10
  7. 27
  8. 35
  9. 54
  10. 28
  11. 70
  12. 495
  13. 36
  14. 20
  15. 175
  16. 114
  17. 36
  18. 27
  19. 198
  20. 36
  21. 50
  22. 42
  23. 54
  24. 24
  25. 39
  26. 49
  27. 150
  28. 30
  29. 24
  30. 90
  31. 65
  32. 32
  33. 32
  34. 16
  35. 216
  36. 126
  37. 250
  38. 28
  39. 88
  40. 81

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