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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 352 · 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.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  6. 6.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  7. 7.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  8. 8.Divide ₹64 between Rahul and Diya in the ratio 3 : 1. How much does Rahul get (in ₹)?
  9. 9.9 : 13 = 18 : ?
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.Divide ₹99 between Vivaan and Diya in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  13. 13.Divide ₹656 between Vivaan and Aditya in the ratio 9 : 7. How much does Aditya get (in ₹)?
  14. 14.Divide ₹440 between Zoya and Saanvi in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  15. 15.Divide ₹329 between Aditya and Pooja in the ratio 1 : 6. How much does Aditya get (in ₹)?
  16. 16.6 : 13 = 30 : ?
  17. 17.Divide ₹182 between Ishaan and Arjun in the ratio 4 : 9. How much does Arjun get (in ₹)?
  18. 18.7 : 11 = 28 : ?
  19. 19.Divide ₹533 between Nisha and Meera in the ratio 6 : 7. How much does Meera get (in ₹)?
  20. 20.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  21. 21.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  22. 22.Divide ₹300 between Pooja and Isha in the ratio 1 : 9. How much does Isha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  24. 24.4 : 12 = 8 : ?
  25. 25.Divide ₹69 between Nisha and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  26. 26.11 : 10 = 77 : ?
  27. 27.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  28. 28.9 : 13 = 36 : ?
  29. 29.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.7 : 10 = 14 : ?
  32. 32.6 : 2 = 18 : ?
  33. 33.Divide ₹93 between Diya and Saanvi in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  34. 34.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  35. 35.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  36. 36.Divide ₹387 between Kabir and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  37. 37.Divide ₹357 between Vivaan and Priya in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  38. 38.4 : 2 = 24 : ?
  39. 39.5 : 15 = 25 : ?
  40. 40.4 : 15 = 20 : ?

Answer key

  1. 100
  2. 48
  3. 15
  4. 27
  5. 96
  6. 225
  7. 72
  8. 48
  9. 26
  10. 32
  11. 12
  12. 33
  13. 287
  14. 132
  15. 47
  16. 65
  17. 126
  18. 44
  19. 287
  20. 32
  21. 35
  22. 270
  23. 2
  24. 24
  25. 23
  26. 70
  27. 36
  28. 52
  29. 20
  30. 28
  31. 20
  32. 6
  33. 31
  34. 128
  35. 35
  36. 172
  37. 204
  38. 12
  39. 75
  40. 75

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