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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 770 · 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 2 : 9. There are 20 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  3. 3.3 : 11 = 9 : ?
  4. 4.Divide ₹270 between Sneha and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  5. 5.Divide ₹476 between Tara and Priya in the ratio 5 : 9. How much does Priya get (in ₹)?
  6. 6.8 : 6 = 48 : ?
  7. 7.12 : 13 = 84 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  9. 9.11 : 12 = 88 : ?
  10. 10.Divide ₹91 between Zoya and Kavya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  11. 11.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  13. 13.8 : 12 = 64 : ?
  14. 14.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  15. 15.3 : 12 = 15 : ?
  16. 16.Divide ₹270 between Manav and Rahul in the ratio 5 : 4. How much does Rahul get (in ₹)?
  17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  18. 18.10 : 7 = 40 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.Divide ₹141 between Manav and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  23. 23.Divide ₹35 between Farhan and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  24. 24.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  25. 25.7 : 12 = 42 : ?
  26. 26.7 : 2 = 21 : ?
  27. 27.8 : 9 = 48 : ?
  28. 28.4 : 2 = 24 : ?
  29. 29.Divide ₹399 between Nisha and Pooja in the ratio 4 : 3. How much does Nisha get (in ₹)?
  30. 30.Divide ₹848 between Kabir and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  31. 31.Divide ₹91 between Sneha and Rohan in the ratio 6 : 7. How much does Rohan get (in ₹)?
  32. 32.Divide ₹77 between Aditya and Saanvi in the ratio 2 : 9. How much does Aditya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  36. 36.Divide ₹150 between Rohan and Karan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  37. 37.7 : 5 = 56 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  40. 40.2 : 6 = 4 : ?

Answer key

  1. 90
  2. 80
  3. 33
  4. 27
  5. 306
  6. 36
  7. 91
  8. 72
  9. 96
  10. 28
  11. 20
  12. 12
  13. 96
  14. 81
  15. 60
  16. 120
  17. 150
  18. 28
  19. 14
  20. 54
  21. 75
  22. 94
  23. 25
  24. 32
  25. 72
  26. 6
  27. 54
  28. 12
  29. 228
  30. 477
  31. 49
  32. 14
  33. 27
  34. 24
  35. 28
  36. 15
  37. 40
  38. 54
  39. 14
  40. 12

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