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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 655 · 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.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.9 : 14 = 72 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  5. 5.3 : 6 = 6 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  10. 10.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  13. 13.Divide ₹336 between Pooja and Kabir in the ratio 4 : 3. How much does Pooja get (in ₹)?
  14. 14.Divide ₹21 between Sneha and Vivaan in the ratio 2 : 1. How much does Sneha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  16. 16.11 : 14 = 44 : ?
  17. 17.6 : 13 = 48 : ?
  18. 18.Divide ₹220 between Ananya and Pooja in the ratio 4 : 7. How much does Pooja get (in ₹)?
  19. 19.Divide ₹156 between Saanvi and Isha in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  21. 21.2 : 5 = 12 : ?
  22. 22.Divide ₹328 between Pooja and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  24. 24.Divide ₹207 between Kabir and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  25. 25.8 : 14 = 48 : ?
  26. 26.Divide ₹160 between Ishaan and Aarav in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.Divide ₹170 between Pooja and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  33. 33.Divide ₹72 between Rahul and Farhan in the ratio 1 : 8. How much does Farhan get (in ₹)?
  34. 34.Divide ₹540 between Zoya and Farhan in the ratio 8 : 7. How much does Zoya get (in ₹)?
  35. 35.12 : 2 = 48 : ?
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.Divide ₹368 between Meera and Diya in the ratio 1 : 7. How much does Diya get (in ₹)?
  38. 38.Divide ₹210 between Ishaan and Isha in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  39. 39.Divide ₹901 between Tara and Ananya in the ratio 8 : 9. How much does Tara get (in ₹)?
  40. 40.Divide ₹312 between Arjun and Sneha in the ratio 4 : 9. How much does Sneha get (in ₹)?

Answer key

  1. 100
  2. 45
  3. 112
  4. 8
  5. 12
  6. 12
  7. 56
  8. 16
  9. 32
  10. 20
  11. 49
  12. 18
  13. 192
  14. 14
  15. 14
  16. 56
  17. 104
  18. 140
  19. 39
  20. 27
  21. 30
  22. 287
  23. 16
  24. 23
  25. 84
  26. 100
  27. 20
  28. 28
  29. 90
  30. 15
  31. 56
  32. 10
  33. 64
  34. 288
  35. 8
  36. 64
  37. 322
  38. 180
  39. 424
  40. 216

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