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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 614 · 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.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  4. 4.10 : 3 = 30 : ?
  5. 5.Divide ₹550 between Rohan and Ananya in the ratio 7 : 3. How much does Rohan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.Divide ₹55 between Isha and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  9. 9.7 : 15 = 63 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.Divide ₹418 between Zoya and Pooja in the ratio 2 : 9. How much does Zoya get (in ₹)?
  13. 13.Divide ₹702 between Kabir and Rohan in the ratio 8 : 5. How much does Rohan get (in ₹)?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.Divide ₹385 between Isha and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  16. 16.Divide ₹416 between Vivaan and Aarav in the ratio 3 : 5. How much does Aarav get (in ₹)?
  17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  18. 18.Divide ₹300 between Pooja and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.Divide ₹297 between Kabir and Dev in the ratio 1 : 8. How much does Kabir get (in ₹)?
  21. 21.9 : 7 = 72 : ?
  22. 22.Divide ₹299 between Rahul and Aditya in the ratio 5 : 8. How much does Aditya get (in ₹)?
  23. 23.2 : 13 = 14 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.7 : 12 = 35 : ?
  28. 28.Divide ₹72 between Meera and Ishaan in the ratio 5 : 7. How much does Meera get (in ₹)?
  29. 29.8 : 13 = 48 : ?
  30. 30.5 : 12 = 35 : ?
  31. 31.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  32. 32.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  33. 33.Divide ₹343 between Kabir and Diya in the ratio 2 : 5. How much does Diya get (in ₹)?
  34. 34.9 : 10 = 63 : ?
  35. 35.3 : 10 = 9 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  37. 37.8 : 6 = 72 : ?
  38. 38.Divide ₹91 between Diya and Arjun in the ratio 4 : 9. How much does Diya get (in ₹)?
  39. 39.3 : 2 = 15 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?

Answer key

  1. 100
  2. 45
  3. 32
  4. 9
  5. 385
  6. 56
  7. 16
  8. 22
  9. 135
  10. 90
  11. 8
  12. 76
  13. 270
  14. 63
  15. 105
  16. 260
  17. 64
  18. 180
  19. 48
  20. 33
  21. 56
  22. 184
  23. 91
  24. 28
  25. 21
  26. 20
  27. 60
  28. 30
  29. 78
  30. 84
  31. 200
  32. 15
  33. 245
  34. 70
  35. 30
  36. 6
  37. 54
  38. 28
  39. 10
  40. 10

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