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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 840 · 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.Divide ₹392 between Kavya and Pooja in the ratio 5 : 2. How much does Pooja get (in ₹)?
  2. 2.Divide ₹72 between Dev and Arjun in the ratio 4 : 5. How much does Arjun get (in ₹)?
  3. 3.Divide ₹70 between Ananya and Karan in the ratio 4 : 1. How much does Ananya get (in ₹)?
  4. 4.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  5. 5.Divide ₹462 between Rahul and Saanvi in the ratio 4 : 7. How much does Rahul get (in ₹)?
  6. 6.2 : 11 = 18 : ?
  7. 7.Divide ₹780 between Kavya and Dev in the ratio 8 : 5. How much does Dev get (in ₹)?
  8. 8.Divide ₹60 between Diya and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  9. 9.5 : 6 = 15 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Divide ₹165 between Ananya and Meera in the ratio 4 : 7. How much does Ananya get (in ₹)?
  12. 12.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  13. 13.Divide ₹120 between Arjun and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
  14. 14.Divide ₹210 between Rahul and Aditya in the ratio 5 : 9. How much does Aditya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  17. 17.3 : 6 = 27 : ?
  18. 18.Divide ₹144 between Kavya and Saanvi in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  20. 20.Divide ₹36 between Priya and Karan in the ratio 1 : 3. How much does Karan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  23. 23.Divide ₹144 between Rohan and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  24. 24.Divide ₹260 between Dev and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.10 : 9 = 80 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.Divide ₹108 between Isha and Sneha in the ratio 2 : 1. How much does Isha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  33. 33.5 : 12 = 15 : ?
  34. 34.12 : 4 = 84 : ?
  35. 35.9 : 10 = 45 : ?
  36. 36.3 : 15 = 18 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  39. 39.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  40. 40.5 : 7 = 25 : ?

Answer key

  1. 112
  2. 40
  3. 56
  4. 175
  5. 168
  6. 99
  7. 300
  8. 45
  9. 18
  10. 75
  11. 60
  12. 54
  13. 36
  14. 135
  15. 8
  16. 42
  17. 54
  18. 90
  19. 36
  20. 27
  21. 2
  22. 18
  23. 84
  24. 104
  25. 12
  26. 125
  27. 72
  28. 16
  29. 24
  30. 72
  31. 4
  32. 48
  33. 36
  34. 28
  35. 50
  36. 90
  37. 42
  38. 12
  39. 96
  40. 35

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