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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 222 · 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 : 7. There are 45 boys. How many girls are there?
  2. 2.5 : 8 = 25 : ?
  3. 3.6 : 4 = 54 : ?
  4. 4.Divide ₹200 between Kavya and Ishaan in the ratio 2 : 3. How much does Kavya get (in ₹)?
  5. 5.3 : 11 = 6 : ?
  6. 6.4 : 5 = 20 : ?
  7. 7.4 : 15 = 36 : ?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.12 : 3 = 36 : ?
  10. 10.5 : 8 = 15 : ?
  11. 11.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  12. 12.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  13. 13.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  14. 14.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  17. 17.Divide ₹290 between Rahul and Pooja in the ratio 3 : 2. How much does Rahul get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  19. 19.Divide ₹336 between Dev and Nisha in the ratio 5 : 9. How much does Nisha get (in ₹)?
  20. 20.Divide ₹264 between Priya and Pooja in the ratio 5 : 6. How much does Priya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  22. 22.Divide ₹423 between Aditya and Priya in the ratio 2 : 7. How much does Aditya get (in ₹)?
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.Divide ₹35 between Ishaan and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  27. 27.3 : 4 = 21 : ?
  28. 28.Divide ₹80 between Meera and Kavya in the ratio 3 : 2. How much does Meera get (in ₹)?
  29. 29.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  30. 30.Divide ₹91 between Dev and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  31. 31.7 : 8 = 63 : ?
  32. 32.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  33. 33.Divide ₹55 between Aditya and Tara in the ratio 6 : 5. How much does Aditya get (in ₹)?
  34. 34.Divide ₹387 between Ananya and Zoya in the ratio 1 : 8. How much does Ananya get (in ₹)?
  35. 35.2 : 8 = 14 : ?
  36. 36.Divide ₹69 between Isha and Nisha in the ratio 1 : 2. How much does Isha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  38. 38.Divide ₹676 between Kabir and Ishaan in the ratio 7 : 6. How much does Ishaan get (in ₹)?
  39. 39.Divide ₹117 between Nisha and Rohan in the ratio 7 : 6. How much does Rohan get (in ₹)?
  40. 40.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).

Answer key

  1. 63
  2. 40
  3. 36
  4. 80
  5. 22
  6. 25
  7. 135
  8. 8
  9. 9
  10. 24
  11. 8
  12. 81
  13. 20
  14. 50
  15. 56
  16. 10
  17. 174
  18. 45
  19. 216
  20. 120
  21. 12
  22. 94
  23. 100
  24. 28
  25. 36
  26. 5
  27. 28
  28. 48
  29. 64
  30. 78
  31. 72
  32. 200
  33. 30
  34. 43
  35. 56
  36. 23
  37. 6
  38. 312
  39. 54
  40. 12

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