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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 974 · 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 7 and 21 (that is, 7 : 21 = 21 : ?).
  2. 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.6 : 9 = 48 : ?
  5. 5.11 : 6 = 33 : ?
  6. 6.8 : 7 = 16 : ?
  7. 7.Divide ₹143 between Diya and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  9. 9.Divide ₹418 between Isha and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?
  10. 10.4 : 13 = 24 : ?
  11. 11.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  12. 12.Divide ₹105 between Rohan and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
  13. 13.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.Divide ₹110 between Vivaan and Tara in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  17. 17.Divide ₹140 between Dev and Meera in the ratio 7 : 3. How much does Meera get (in ₹)?
  18. 18.7 : 15 = 35 : ?
  19. 19.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.Divide ₹27 between Zoya and Kavya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  22. 22.Divide ₹472 between Ananya and Arjun in the ratio 5 : 3. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  27. 27.Divide ₹63 between Vivaan and Tara in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  29. 29.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  30. 30.8 : 10 = 72 : ?
  31. 31.Divide ₹540 between Aarav and Aditya in the ratio 7 : 5. How much does Aditya get (in ₹)?
  32. 32.5 : 15 = 15 : ?
  33. 33.Divide ₹276 between Kabir and Priya in the ratio 5 : 1. How much does Kabir get (in ₹)?
  34. 34.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  35. 35.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  36. 36.4 : 2 = 8 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  39. 39.12 : 2 = 24 : ?
  40. 40.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?

Answer key

  1. 63
  2. 100
  3. 18
  4. 72
  5. 18
  6. 14
  7. 117
  8. 10
  9. 190
  10. 78
  11. 45
  12. 60
  13. 144
  14. 125
  15. 80
  16. 88
  17. 42
  18. 75
  19. 112
  20. 12
  21. 9
  22. 295
  23. 72
  24. 54
  25. 75
  26. 90
  27. 7
  28. 36
  29. 175
  30. 90
  31. 225
  32. 45
  33. 230
  34. 54
  35. 45
  36. 4
  37. 45
  38. 16
  39. 4
  40. 36

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