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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 223 · 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 8 boys. How many girls are there?
  2. 2.Divide ₹392 between Ananya and Farhan in the ratio 5 : 2. How much does Ananya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  4. 4.Divide ₹205 between Rahul and Nisha in the ratio 1 : 4. How much does Rahul get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  6. 6.Divide ₹333 between Saanvi and Rohan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  7. 7.6 : 7 = 24 : ?
  8. 8.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  10. 10.5 : 4 = 30 : ?
  11. 11.Divide ₹590 between Isha and Arjun in the ratio 9 : 1. How much does Arjun get (in ₹)?
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  16. 16.7 : 4 = 63 : ?
  17. 17.8 : 9 = 24 : ?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.11 : 12 = 44 : ?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  22. 22.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  23. 23.Divide ₹392 between Dev and Ishaan in the ratio 5 : 2. How much does Dev get (in ₹)?
  24. 24.Divide ₹35 between Aarav and Meera in the ratio 2 : 3. How much does Aarav get (in ₹)?
  25. 25.11 : 15 = 99 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  27. 27.Divide ₹132 between Dev and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  28. 28.Divide ₹232 between Rohan and Manav in the ratio 1 : 7. How much does Manav get (in ₹)?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.3 : 13 = 27 : ?
  31. 31.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  33. 33.Divide ₹496 between Aditya and Zoya in the ratio 7 : 9. How much does Zoya get (in ₹)?
  34. 34.3 : 7 = 18 : ?
  35. 35.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  36. 36.12 : 9 = 108 : ?
  37. 37.Divide ₹598 between Aditya and Kabir in the ratio 7 : 6. How much does Kabir get (in ₹)?
  38. 38.Divide ₹649 between Dev and Pooja in the ratio 3 : 8. How much does Pooja get (in ₹)?
  39. 39.5 : 13 = 15 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?

Answer key

  1. 4
  2. 280
  3. 20
  4. 41
  5. 12
  6. 296
  7. 28
  8. 60
  9. 9
  10. 24
  11. 59
  12. 72
  13. 18
  14. 60
  15. 35
  16. 36
  17. 27
  18. 27
  19. 48
  20. 16
  21. 25
  22. 18
  23. 280
  24. 14
  25. 135
  26. 21
  27. 60
  28. 203
  29. 100
  30. 117
  31. 30
  32. 45
  33. 279
  34. 42
  35. 32
  36. 81
  37. 276
  38. 472
  39. 39
  40. 14

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