← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 708 · 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.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  2. 2.2 : 6 = 8 : ?
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  9. 9.Divide ₹189 between Kabir and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  11. 11.Divide ₹460 between Nisha and Vivaan in the ratio 7 : 3. How much does Nisha get (in ₹)?
  12. 12.Divide ₹441 between Kabir and Rahul in the ratio 7 : 2. How much does Kabir get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  14. 14.Divide ₹55 between Kabir and Kavya in the ratio 3 : 8. How much does Kabir get (in ₹)?
  15. 15.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  16. 16.9 : 11 = 36 : ?
  17. 17.Divide ₹40 between Diya and Farhan in the ratio 3 : 2. How much does Farhan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  21. 21.Divide ₹414 between Ishaan and Arjun in the ratio 7 : 2. How much does Ishaan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  23. 23.Divide ₹407 between Diya and Rohan in the ratio 7 : 4. How much does Diya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  27. 27.9 : 10 = 81 : ?
  28. 28.Divide ₹88 between Priya and Rahul in the ratio 8 : 3. How much does Priya get (in ₹)?
  29. 29.2 : 12 = 12 : ?
  30. 30.Divide ₹372 between Vivaan and Tara in the ratio 7 : 5. How much does Tara get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  32. 32.9 : 2 = 45 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  35. 35.Divide ₹350 between Pooja and Arjun in the ratio 9 : 5. How much does Pooja get (in ₹)?
  36. 36.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  37. 37.Divide ₹182 between Karan and Pooja in the ratio 5 : 8. How much does Pooja get (in ₹)?
  38. 38.Divide ₹378 between Karan and Aditya in the ratio 2 : 5. How much does Karan get (in ₹)?
  39. 39.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  40. 40.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).

Answer key

  1. 24
  2. 24
  3. 36
  4. 32
  5. 16
  6. 20
  7. 16
  8. 20
  9. 42
  10. 6
  11. 322
  12. 343
  13. 27
  14. 15
  15. 36
  16. 44
  17. 16
  18. 14
  19. 48
  20. 8
  21. 322
  22. 6
  23. 259
  24. 5
  25. 32
  26. 48
  27. 90
  28. 64
  29. 72
  30. 155
  31. 40
  32. 10
  33. 3
  34. 18
  35. 225
  36. 63
  37. 112
  38. 108
  39. 20
  40. 16

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude