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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 121 · 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. 1.9 : 2 = 81 : ?
  2. 2.Divide ₹65 between Kabir and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  3. 3.Divide ₹265 between Aarav and Zoya in the ratio 2 : 3. How much does Aarav get (in ₹)?
  4. 4.Divide ₹285 between Zoya and Nisha in the ratio 8 : 7. How much does Zoya get (in ₹)?
  5. 5.Divide ₹91 between Tara and Arjun in the ratio 5 : 8. How much does Tara get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  7. 7.Divide ₹45 between Kabir and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  8. 8.Divide ₹165 between Meera and Isha in the ratio 7 : 4. How much does Isha get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  11. 11.Divide ₹476 between Meera and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  14. 14.2 : 6 = 4 : ?
  15. 15.3 : 9 = 18 : ?
  16. 16.11 : 14 = 99 : ?
  17. 17.7 : 3 = 28 : ?
  18. 18.Divide ₹350 between Aditya and Farhan in the ratio 5 : 9. How much does Aditya get (in ₹)?
  19. 19.Divide ₹800 between Karan and Dev in the ratio 7 : 9. How much does Karan get (in ₹)?
  20. 20.2 : 7 = 6 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  22. 22.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Divide ₹855 between Vivaan and Arjun in the ratio 8 : 7. How much does Arjun get (in ₹)?
  29. 29.Divide ₹364 between Sneha and Pooja in the ratio 5 : 2. How much does Sneha get (in ₹)?
  30. 30.3 : 12 = 24 : ?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.3 : 9 = 21 : ?
  33. 33.Divide ₹360 between Dev and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.2 : 11 = 4 : ?
  36. 36.3 : 6 = 15 : ?
  37. 37.7 : 10 = 42 : ?
  38. 38.Divide ₹495 between Nisha and Vivaan in the ratio 4 : 7. How much does Nisha get (in ₹)?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.Divide ₹324 between Sneha and Priya in the ratio 1 : 5. How much does Sneha get (in ₹)?

Answer key

  1. 18
  2. 39
  3. 106
  4. 152
  5. 35
  6. 18
  7. 9
  8. 60
  9. 49
  10. 14
  11. 170
  12. 21
  13. 10
  14. 12
  15. 54
  16. 126
  17. 12
  18. 125
  19. 350
  20. 21
  21. 81
  22. 32
  23. 112
  24. 3
  25. 35
  26. 63
  27. 28
  28. 399
  29. 260
  30. 96
  31. 100
  32. 63
  33. 210
  34. 81
  35. 22
  36. 30
  37. 60
  38. 180
  39. 36
  40. 54

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