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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 209 · 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. 1.3 : 15 = 9 : ?
  2. 2.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  3. 3.4 : 11 = 32 : ?
  4. 4.Divide ₹378 between Aarav and Rahul in the ratio 3 : 4. How much does Aarav get (in ₹)?
  5. 5.7 : 4 = 28 : ?
  6. 6.4 : 14 = 28 : ?
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  9. 9.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  10. 10.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.Divide ₹784 between Kabir and Vivaan in the ratio 7 : 9. How much does Kabir get (in ₹)?
  13. 13.4 : 13 = 24 : ?
  14. 14.Divide ₹377 between Saanvi and Arjun in the ratio 6 : 7. How much does Saanvi get (in ₹)?
  15. 15.9 : 3 = 81 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.Divide ₹462 between Sneha and Ananya in the ratio 4 : 7. How much does Sneha get (in ₹)?
  19. 19.Divide ₹570 between Vivaan and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  20. 20.Divide ₹500 between Ishaan and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  21. 21.11 : 8 = 33 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  23. 23.Divide ₹55 between Dev and Kavya in the ratio 6 : 5. How much does Kavya get (in ₹)?
  24. 24.2 : 5 = 12 : ?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
  27. 27.Divide ₹185 between Rohan and Kabir in the ratio 1 : 4. How much does Rohan get (in ₹)?
  28. 28.3 : 7 = 18 : ?
  29. 29.Divide ₹35 between Isha and Farhan in the ratio 4 : 1. How much does Farhan get (in ₹)?
  30. 30.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  31. 31.8 : 12 = 56 : ?
  32. 32.Divide ₹111 between Ishaan and Farhan in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  36. 36.5 : 4 = 20 : ?
  37. 37.Divide ₹512 between Manav and Aarav in the ratio 7 : 9. How much does Manav get (in ₹)?
  38. 38.Divide ₹624 between Meera and Rohan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  39. 39.6 : 13 = 48 : ?
  40. 40.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?

Answer key

  1. 45
  2. 24
  3. 88
  4. 162
  5. 16
  6. 98
  7. 63
  8. 3
  9. 112
  10. 40
  11. 48
  12. 343
  13. 78
  14. 174
  15. 27
  16. 25
  17. 16
  18. 168
  19. 57
  20. 150
  21. 24
  22. 12
  23. 25
  24. 30
  25. 75
  26. 42
  27. 37
  28. 42
  29. 7
  30. 36
  31. 84
  32. 37
  33. 56
  34. 32
  35. 20
  36. 16
  37. 224
  38. 260
  39. 104
  40. 45

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