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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 776 · 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).

NameDateTime takenScore ___ / 40
  1. 1.6 : 9 = 18 : ?
  2. 2.6 : 7 = 18 : ?
  3. 3.11 : 13 = 77 : ?
  4. 4.11 : 5 = 22 : ?
  5. 5.Divide ₹54 between Arjun and Meera in the ratio 2 : 7. How much does Arjun get (in ₹)?
  6. 6.Divide ₹153 between Diya and Isha in the ratio 4 : 5. How much does Isha get (in ₹)?
  7. 7.Divide ₹448 between Dev and Isha in the ratio 3 : 5. How much does Isha get (in ₹)?
  8. 8.7 : 14 = 35 : ?
  9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  10. 10.Divide ₹80 between Dev and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  11. 11.11 : 12 = 22 : ?
  12. 12.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  14. 14.Divide ₹75 between Zoya and Aditya in the ratio 2 : 1. How much does Aditya get (in ₹)?
  15. 15.Divide ₹165 between Farhan and Ananya in the ratio 8 : 3. How much does Ananya get (in ₹)?
  16. 16.Divide ₹133 between Saanvi and Arjun in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  20. 20.7 : 4 = 42 : ?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Divide ₹15 between Meera and Tara in the ratio 2 : 1. How much does Tara get (in ₹)?
  23. 23.Divide ₹297 between Aarav and Sneha in the ratio 2 : 7. How much does Aarav get (in ₹)?
  24. 24.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  25. 25.Divide ₹192 between Ananya and Kavya in the ratio 7 : 5. How much does Ananya get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  29. 29.2 : 8 = 8 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  33. 33.Divide ₹338 between Arjun and Pooja in the ratio 7 : 6. How much does Pooja get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  35. 35.Divide ₹328 between Aarav and Kavya in the ratio 7 : 1. How much does Kavya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  38. 38.2 : 15 = 16 : ?
  39. 39.4 : 3 = 36 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?

Answer key

  1. 27
  2. 21
  3. 91
  4. 10
  5. 12
  6. 85
  7. 280
  8. 70
  9. 32
  10. 48
  11. 24
  12. 35
  13. 18
  14. 25
  15. 45
  16. 57
  17. 63
  18. 112
  19. 48
  20. 24
  21. 50
  22. 5
  23. 66
  24. 32
  25. 112
  26. 28
  27. 30
  28. 63
  29. 32
  30. 12
  31. 35
  32. 18
  33. 156
  34. 72
  35. 41
  36. 18
  37. 4
  38. 120
  39. 27
  40. 42

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