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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 732 · 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 : 7. There are 7 boys. How many girls are there?
  2. 2.Divide ₹72 between Aditya and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  3. 3.4 : 2 = 8 : ?
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.8 : 12 = 72 : ?
  6. 6.Divide ₹234 between Rohan and Ananya in the ratio 5 : 8. How much does Rohan get (in ₹)?
  7. 7.4 : 10 = 8 : ?
  8. 8.Divide ₹21 between Aditya and Farhan in the ratio 1 : 2. How much does Aditya get (in ₹)?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.8 : 12 = 16 : ?
  13. 13.Divide ₹165 between Diya and Vivaan in the ratio 2 : 1. How much does Diya get (in ₹)?
  14. 14.2 : 8 = 4 : ?
  15. 15.6 : 2 = 36 : ?
  16. 16.Divide ₹160 between Rahul and Tara in the ratio 7 : 9. How much does Tara get (in ₹)?
  17. 17.Divide ₹418 between Zoya and Isha in the ratio 6 : 5. How much does Zoya get (in ₹)?
  18. 18.Divide ₹288 between Rohan and Meera in the ratio 3 : 5. How much does Rohan get (in ₹)?
  19. 19.Divide ₹55 between Ananya and Arjun in the ratio 9 : 2. How much does Ananya get (in ₹)?
  20. 20.12 : 5 = 72 : ?
  21. 21.5 : 8 = 15 : ?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  26. 26.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  27. 27.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  28. 28.2 : 11 = 10 : ?
  29. 29.Divide ₹111 between Tara and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  30. 30.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.Divide ₹638 between Ananya and Vivaan in the ratio 8 : 3. How much does Ananya get (in ₹)?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.Divide ₹270 between Karan and Ishaan in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  35. 35.3 : 2 = 6 : ?
  36. 36.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  38. 38.Divide ₹121 between Nisha and Rohan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  40. 40.10 : 6 = 60 : ?

Answer key

  1. 49
  2. 48
  3. 4
  4. 96
  5. 108
  6. 90
  7. 20
  8. 7
  9. 100
  10. 63
  11. 18
  12. 24
  13. 110
  14. 16
  15. 12
  16. 90
  17. 228
  18. 108
  19. 45
  20. 30
  21. 24
  22. 24
  23. 175
  24. 50
  25. 5
  26. 36
  27. 5
  28. 55
  29. 74
  30. 125
  31. 32
  32. 464
  33. 16
  34. 243
  35. 4
  36. 75
  37. 6
  38. 44
  39. 8
  40. 36

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