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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 79 · 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).

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  1. 1.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  2. 2.Divide ₹168 between Isha and Nisha in the ratio 5 : 1. How much does Nisha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  4. 4.Divide ₹60 between Aarav and Priya in the ratio 3 : 7. How much does Aarav get (in ₹)?
  5. 5.2 : 15 = 6 : ?
  6. 6.Divide ₹380 between Saanvi and Kavya in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  9. 9.8 : 15 = 24 : ?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.2 : 6 = 18 : ?
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  14. 14.Divide ₹208 between Ishaan and Dev in the ratio 3 : 5. How much does Dev get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  18. 18.3 : 8 = 21 : ?
  19. 19.Divide ₹260 between Rohan and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
  20. 20.6 : 9 = 36 : ?
  21. 21.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  22. 22.3 : 11 = 9 : ?
  23. 23.6 : 8 = 24 : ?
  24. 24.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  25. 25.Divide ₹252 between Sneha and Rahul in the ratio 5 : 4. How much does Rahul get (in ₹)?
  26. 26.Divide ₹608 between Rohan and Isha in the ratio 9 : 7. How much does Rohan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  28. 28.4 : 11 = 28 : ?
  29. 29.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  31. 31.6 : 7 = 42 : ?
  32. 32.Divide ₹96 between Farhan and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.5 : 2 = 10 : ?
  35. 35.Divide ₹154 between Arjun and Kavya in the ratio 5 : 6. How much does Kavya get (in ₹)?
  36. 36.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  37. 37.5 : 11 = 30 : ?
  38. 38.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  39. 39.Divide ₹195 between Kabir and Nisha in the ratio 1 : 4. How much does Nisha get (in ₹)?
  40. 40.Divide ₹170 between Pooja and Isha in the ratio 8 : 9. How much does Isha get (in ₹)?

Answer key

  1. 8
  2. 28
  3. 9
  4. 18
  5. 45
  6. 38
  7. 6
  8. 70
  9. 45
  10. 45
  11. 54
  12. 63
  13. 18
  14. 130
  15. 18
  16. 28
  17. 9
  18. 56
  19. 80
  20. 54
  21. 45
  22. 33
  23. 32
  24. 144
  25. 112
  26. 342
  27. 8
  28. 77
  29. 72
  30. 8
  31. 49
  32. 56
  33. 225
  34. 4
  35. 84
  36. 50
  37. 66
  38. 40
  39. 156
  40. 90

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