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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 257 · 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.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  3. 3.Divide ₹272 between Tara and Manav in the ratio 7 : 1. How much does Tara get (in ₹)?
  4. 4.6 : 12 = 18 : ?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  7. 7.4 : 14 = 16 : ?
  8. 8.Divide ₹689 between Dev and Karan in the ratio 8 : 5. How much does Dev get (in ₹)?
  9. 9.11 : 8 = 77 : ?
  10. 10.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  13. 13.4 : 15 = 36 : ?
  14. 14.Divide ₹162 between Farhan and Pooja in the ratio 8 : 1. How much does Farhan get (in ₹)?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  17. 17.10 : 15 = 40 : ?
  18. 18.Divide ₹544 between Karan and Priya in the ratio 9 : 8. How much does Karan get (in ₹)?
  19. 19.Divide ₹320 between Nisha and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  20. 20.8 : 7 = 24 : ?
  21. 21.2 : 15 = 4 : ?
  22. 22.Divide ₹273 between Rahul and Nisha in the ratio 4 : 9. How much does Rahul get (in ₹)?
  23. 23.12 : 2 = 60 : ?
  24. 24.Divide ₹140 between Meera and Diya in the ratio 4 : 3. How much does Diya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  28. 28.Divide ₹420 between Kavya and Aditya in the ratio 2 : 5. How much does Kavya get (in ₹)?
  29. 29.Divide ₹590 between Aarav and Zoya in the ratio 7 : 3. How much does Zoya get (in ₹)?
  30. 30.Divide ₹714 between Meera and Karan in the ratio 9 : 5. How much does Meera get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  32. 32.12 : 11 = 24 : ?
  33. 33.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  34. 34.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  35. 35.8 : 9 = 72 : ?
  36. 36.4 : 14 = 24 : ?
  37. 37.4 : 12 = 12 : ?
  38. 38.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  39. 39.Divide ₹136 between Arjun and Aditya in the ratio 3 : 1. How much does Aditya get (in ₹)?
  40. 40.Divide ₹104 between Sneha and Rahul in the ratio 1 : 7. How much does Rahul get (in ₹)?

Answer key

  1. 20
  2. 25
  3. 238
  4. 36
  5. 2
  6. 63
  7. 56
  8. 424
  9. 56
  10. 36
  11. 18
  12. 4
  13. 135
  14. 144
  15. 20
  16. 35
  17. 60
  18. 288
  19. 224
  20. 21
  21. 30
  22. 84
  23. 10
  24. 60
  25. 24
  26. 56
  27. 24
  28. 120
  29. 177
  30. 459
  31. 28
  32. 22
  33. 42
  34. 96
  35. 81
  36. 84
  37. 36
  38. 54
  39. 34
  40. 91

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