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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 905 · 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 7 : 5. There are 63 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  3. 3.Divide ₹616 between Diya and Arjun in the ratio 7 : 4. How much does Diya get (in ₹)?
  4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  5. 5.8 : 15 = 32 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  7. 7.Divide ₹45 between Sneha and Meera in the ratio 1 : 8. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  9. 9.Divide ₹420 between Ishaan and Meera in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  10. 10.Divide ₹533 between Rahul and Vivaan in the ratio 9 : 4. How much does Rahul get (in ₹)?
  11. 11.12 : 4 = 96 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  15. 15.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  16. 16.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  17. 17.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  18. 18.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  19. 19.11 : 4 = 77 : ?
  20. 20.Divide ₹235 between Manav and Kabir in the ratio 3 : 2. How much does Kabir get (in ₹)?
  21. 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  22. 22.3 : 15 = 24 : ?
  23. 23.2 : 10 = 4 : ?
  24. 24.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  25. 25.Divide ₹486 between Meera and Aarav in the ratio 1 : 8. How much does Aarav get (in ₹)?
  26. 26.4 : 3 = 12 : ?
  27. 27.Divide ₹80 between Meera and Isha in the ratio 1 : 4. How much does Isha get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  29. 29.Divide ₹770 between Kavya and Sneha in the ratio 9 : 5. How much does Sneha get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  32. 32.2 : 4 = 4 : ?
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  36. 36.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  37. 37.Divide ₹132 between Tara and Rohan in the ratio 7 : 4. How much does Tara get (in ₹)?
  38. 38.Divide ₹660 between Arjun and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  39. 39.Divide ₹65 between Ishaan and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?

Answer key

  1. 45
  2. 50
  3. 392
  4. 64
  5. 60
  6. 48
  7. 5
  8. 27
  9. 180
  10. 369
  11. 32
  12. 16
  13. 35
  14. 18
  15. 4
  16. 32
  17. 128
  18. 80
  19. 28
  20. 94
  21. 20
  22. 120
  23. 20
  24. 20
  25. 432
  26. 9
  27. 64
  28. 64
  29. 275
  30. 20
  31. 24
  32. 8
  33. 96
  34. 6
  35. 5
  36. 16
  37. 84
  38. 480
  39. 39
  40. 20

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