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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 473 · 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 1 : 9. There are 7 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  3. 3.Divide ₹112 between Meera and Rohan in the ratio 6 : 1. How much does Rohan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  5. 5.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  6. 6.8 : 7 = 16 : ?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  10. 10.5 : 4 = 40 : ?
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.Divide ₹85 between Aditya and Isha in the ratio 2 : 3. How much does Isha get (in ₹)?
  13. 13.Divide ₹650 between Isha and Pooja in the ratio 4 : 9. How much does Isha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  17. 17.Divide ₹370 between Karan and Tara in the ratio 7 : 3. How much does Tara get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  19. 19.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  20. 20.6 : 15 = 12 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  23. 23.Divide ₹119 between Arjun and Ishaan in the ratio 5 : 2. How much does Arjun get (in ₹)?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  29. 29.4 : 15 = 36 : ?
  30. 30.Divide ₹165 between Priya and Ishaan in the ratio 1 : 2. How much does Priya get (in ₹)?
  31. 31.3 : 10 = 9 : ?
  32. 32.4 : 5 = 16 : ?
  33. 33.Divide ₹208 between Zoya and Aditya in the ratio 5 : 8. How much does Zoya get (in ₹)?
  34. 34.Divide ₹144 between Isha and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  36. 36.Divide ₹60 between Karan and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  37. 37.Divide ₹282 between Pooja and Meera in the ratio 1 : 5. How much does Meera get (in ₹)?
  38. 38.4 : 2 = 8 : ?
  39. 39.6 : 9 = 30 : ?
  40. 40.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).

Answer key

  1. 63
  2. 4
  3. 16
  4. 20
  5. 144
  6. 14
  7. 36
  8. 2
  9. 14
  10. 32
  11. 50
  12. 51
  13. 200
  14. 6
  15. 20
  16. 40
  17. 111
  18. 36
  19. 150
  20. 30
  21. 8
  22. 72
  23. 85
  24. 16
  25. 64
  26. 54
  27. 21
  28. 90
  29. 135
  30. 55
  31. 30
  32. 20
  33. 80
  34. 32
  35. 35
  36. 40
  37. 235
  38. 4
  39. 45
  40. 54

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