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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 412 · 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 : 3. There are 25 boys. How many girls are there?
  2. 2.Divide ₹583 between Pooja and Sneha in the ratio 8 : 3. How much does Pooja get (in ₹)?
  3. 3.3 : 11 = 12 : ?
  4. 4.2 : 15 = 8 : ?
  5. 5.Divide ₹376 between Aditya and Meera in the ratio 5 : 3. How much does Aditya get (in ₹)?
  6. 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  7. 7.Divide ₹65 between Dev and Tara in the ratio 5 : 8. How much does Dev get (in ₹)?
  8. 8.2 : 10 = 14 : ?
  9. 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  10. 10.Divide ₹493 between Diya and Manav in the ratio 8 : 9. How much does Manav get (in ₹)?
  11. 11.9 : 14 = 45 : ?
  12. 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  13. 13.Divide ₹572 between Arjun and Kavya in the ratio 6 : 7. How much does Arjun get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  16. 16.6 : 5 = 36 : ?
  17. 17.12 : 13 = 48 : ?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.8 : 4 = 56 : ?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Divide ₹168 between Saanvi and Isha in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  22. 22.Divide ₹430 between Manav and Rahul in the ratio 1 : 9. How much does Manav get (in ₹)?
  23. 23.10 : 11 = 70 : ?
  24. 24.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  26. 26.6 : 5 = 12 : ?
  27. 27.Divide ₹220 between Dev and Karan in the ratio 3 : 8. How much does Dev get (in ₹)?
  28. 28.3 : 5 = 9 : ?
  29. 29.Divide ₹200 between Rohan and Farhan in the ratio 1 : 7. How much does Rohan get (in ₹)?
  30. 30.5 : 9 = 45 : ?
  31. 31.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  32. 32.Divide ₹312 between Vivaan and Kavya in the ratio 7 : 6. How much does Kavya get (in ₹)?
  33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  34. 34.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  35. 35.Divide ₹833 between Meera and Rahul in the ratio 9 : 8. How much does Rahul get (in ₹)?
  36. 36.Divide ₹407 between Rohan and Rahul in the ratio 7 : 4. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  38. 38.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  39. 39.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?

Answer key

  1. 15
  2. 424
  3. 44
  4. 60
  5. 235
  6. 125
  7. 25
  8. 70
  9. 96
  10. 261
  11. 70
  12. 8
  13. 264
  14. 27
  15. 45
  16. 30
  17. 52
  18. 16
  19. 28
  20. 48
  21. 112
  22. 43
  23. 77
  24. 15
  25. 50
  26. 10
  27. 60
  28. 15
  29. 25
  30. 81
  31. 3
  32. 144
  33. 12
  34. 15
  35. 392
  36. 259
  37. 27
  38. 200
  39. 10
  40. 63

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