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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 385 · 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.Divide ₹238 between Meera and Aditya in the ratio 9 : 8. How much does Meera get (in ₹)?
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  4. 4.5 : 6 = 30 : ?
  5. 5.Divide ₹408 between Arjun and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
  6. 6.4 : 6 = 20 : ?
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.Divide ₹252 between Kavya and Rohan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  11. 11.Divide ₹231 between Aarav and Arjun in the ratio 9 : 2. How much does Arjun get (in ₹)?
  12. 12.6 : 12 = 48 : ?
  13. 13.9 : 8 = 45 : ?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  16. 16.9 : 2 = 18 : ?
  17. 17.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  19. 19.Divide ₹30 between Isha and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  20. 20.3 : 5 = 21 : ?
  21. 21.Divide ₹28 between Ishaan and Tara in the ratio 1 : 3. How much does Tara get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  27. 27.Divide ₹147 between Aarav and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  28. 28.12 : 13 = 96 : ?
  29. 29.Divide ₹384 between Karan and Zoya in the ratio 7 : 1. How much does Zoya get (in ₹)?
  30. 30.4 : 8 = 28 : ?
  31. 31.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  32. 32.3 : 5 = 24 : ?
  33. 33.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  34. 34.5 : 14 = 10 : ?
  35. 35.9 : 8 = 81 : ?
  36. 36.Divide ₹91 between Pooja and Isha in the ratio 1 : 6. How much does Isha get (in ₹)?
  37. 37.10 : 7 = 70 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  39. 39.Divide ₹210 between Manav and Rahul in the ratio 5 : 1. How much does Manav get (in ₹)?
  40. 40.12 : 6 = 96 : ?

Answer key

  1. 126
  2. 112
  3. 6
  4. 36
  5. 192
  6. 30
  7. 63
  8. 224
  9. 175
  10. 7
  11. 42
  12. 96
  13. 40
  14. 32
  15. 6
  16. 4
  17. 24
  18. 27
  19. 12
  20. 35
  21. 21
  22. 20
  23. 15
  24. 4
  25. 8
  26. 15
  27. 105
  28. 104
  29. 48
  30. 56
  31. 96
  32. 40
  33. 10
  34. 28
  35. 72
  36. 78
  37. 49
  38. 35
  39. 175
  40. 48

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