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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 95 · 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 5 : 1. There are 20 boys. How many girls are there?
  2. 2.4 : 11 = 12 : ?
  3. 3.3 : 12 = 9 : ?
  4. 4.Divide ₹360 between Arjun and Ishaan in the ratio 3 : 7. How much does Arjun get (in ₹)?
  5. 5.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  8. 8.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.Divide ₹304 between Aarav and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  14. 14.Divide ₹378 between Rahul and Sneha in the ratio 2 : 5. How much does Rahul get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  17. 17.4 : 8 = 20 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  19. 19.Divide ₹128 between Ishaan and Aditya in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  20. 20.9 : 10 = 72 : ?
  21. 21.10 : 6 = 30 : ?
  22. 22.3 : 10 = 6 : ?
  23. 23.4 : 13 = 12 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  25. 25.Divide ₹300 between Pooja and Aditya in the ratio 3 : 2. How much does Pooja get (in ₹)?
  26. 26.Divide ₹242 between Aarav and Arjun in the ratio 9 : 2. How much does Aarav get (in ₹)?
  27. 27.Divide ₹91 between Meera and Priya in the ratio 9 : 4. How much does Priya get (in ₹)?
  28. 28.Divide ₹578 between Vivaan and Arjun in the ratio 9 : 8. How much does Arjun get (in ₹)?
  29. 29.Divide ₹572 between Tara and Aarav in the ratio 6 : 5. How much does Tara get (in ₹)?
  30. 30.Divide ₹468 between Zoya and Sneha in the ratio 5 : 4. How much does Sneha get (in ₹)?
  31. 31.5 : 6 = 15 : ?
  32. 32.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  33. 33.12 : 11 = 36 : ?
  34. 34.Divide ₹182 between Priya and Karan in the ratio 8 : 5. How much does Karan get (in ₹)?
  35. 35.3 : 6 = 27 : ?
  36. 36.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  37. 37.11 : 2 = 66 : ?
  38. 38.Divide ₹18 between Kavya and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  39. 39.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  40. 40.Divide ₹25 between Ishaan and Dev in the ratio 2 : 3. How much does Ishaan get (in ₹)?

Answer key

  1. 4
  2. 33
  3. 36
  4. 108
  5. 112
  6. 63
  7. 125
  8. 9
  9. 27
  10. 175
  11. 24
  12. 16
  13. 133
  14. 108
  15. 56
  16. 63
  17. 40
  18. 9
  19. 32
  20. 80
  21. 18
  22. 20
  23. 39
  24. 14
  25. 180
  26. 198
  27. 28
  28. 272
  29. 312
  30. 208
  31. 18
  32. 100
  33. 33
  34. 70
  35. 54
  36. 20
  37. 12
  38. 12
  39. 80
  40. 10

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