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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 411 · 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 : 1. There are 18 boys. How many girls are there?
  2. 2.Divide ₹128 between Kavya and Aarav in the ratio 7 : 1. How much does Kavya get (in ₹)?
  3. 3.Divide ₹30 between Vivaan and Isha in the ratio 2 : 3. How much does Vivaan get (in ₹)?
  4. 4.Divide ₹297 between Tara and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  5. 5.3 : 12 = 15 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  8. 8.9 : 3 = 36 : ?
  9. 9.Divide ₹195 between Rahul and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  10. 10.4 : 13 = 32 : ?
  11. 11.9 : 14 = 27 : ?
  12. 12.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  16. 16.Divide ₹585 between Rohan and Ishaan in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.Divide ₹496 between Rahul and Zoya in the ratio 7 : 9. How much does Rahul get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  24. 24.Divide ₹100 between Diya and Pooja in the ratio 4 : 1. How much does Diya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  26. 26.Divide ₹210 between Farhan and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  28. 28.Divide ₹117 between Nisha and Ananya in the ratio 1 : 8. How much does Nisha get (in ₹)?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  31. 31.12 : 7 = 84 : ?
  32. 32.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  33. 33.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  34. 34.Divide ₹392 between Arjun and Diya in the ratio 7 : 1. How much does Arjun get (in ₹)?
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.Divide ₹128 between Meera and Karan in the ratio 7 : 9. How much does Karan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  38. 38.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  39. 39.Divide ₹24 between Sneha and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
  40. 40.Divide ₹583 between Zoya and Nisha in the ratio 9 : 2. How much does Zoya get (in ₹)?

Answer key

  1. 9
  2. 112
  3. 12
  4. 54
  5. 60
  6. 4
  7. 28
  8. 12
  9. 60
  10. 104
  11. 42
  12. 24
  13. 28
  14. 18
  15. 63
  16. 273
  17. 8
  18. 217
  19. 18
  20. 75
  21. 32
  22. 16
  23. 20
  24. 80
  25. 14
  26. 35
  27. 70
  28. 13
  29. 32
  30. 64
  31. 49
  32. 64
  33. 20
  34. 343
  35. 27
  36. 72
  37. 15
  38. 32
  39. 16
  40. 477

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