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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 243 · 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).

NameDateTime takenScore ___ / 40
  1. 1.2 : 15 = 12 : ?
  2. 2.6 : 4 = 18 : ?
  3. 3.Divide ₹187 between Ishaan and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  4. 4.7 : 6 = 63 : ?
  5. 5.Divide ₹55 between Diya and Rohan in the ratio 5 : 6. How much does Diya get (in ₹)?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.6 : 7 = 42 : ?
  8. 8.Divide ₹135 between Pooja and Isha in the ratio 7 : 2. How much does Isha get (in ₹)?
  9. 9.Divide ₹171 between Pooja and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.Divide ₹176 between Karan and Sneha in the ratio 3 : 1. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  13. 13.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  14. 14.4 : 6 = 16 : ?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  16. 16.12 : 3 = 84 : ?
  17. 17.8 : 10 = 24 : ?
  18. 18.Divide ₹750 between Dev and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
  19. 19.Divide ₹286 between Nisha and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  20. 20.8 : 13 = 64 : ?
  21. 21.Divide ₹368 between Arjun and Isha in the ratio 7 : 1. How much does Isha get (in ₹)?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.4 : 8 = 8 : ?
  24. 24.Divide ₹210 between Rohan and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  26. 26.Divide ₹25 between Nisha and Pooja in the ratio 2 : 3. How much does Nisha get (in ₹)?
  27. 27.Divide ₹550 between Ananya and Sneha in the ratio 1 : 9. How much does Ananya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  29. 29.Divide ₹598 between Ananya and Saanvi in the ratio 6 : 7. How much does Ananya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  31. 31.Divide ₹559 between Tara and Pooja in the ratio 4 : 9. How much does Tara get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  33. 33.Divide ₹88 between Priya and Aarav in the ratio 7 : 4. How much does Priya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  35. 35.Divide ₹217 between Ishaan and Ananya in the ratio 5 : 2. How much does Ananya get (in ₹)?
  36. 36.Divide ₹15 between Aarav and Rahul in the ratio 2 : 1. How much does Aarav get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  38. 38.Divide ₹286 between Rahul and Arjun in the ratio 4 : 9. How much does Rahul get (in ₹)?
  39. 39.Divide ₹70 between Manav and Farhan in the ratio 2 : 3. How much does Farhan get (in ₹)?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 90
  2. 12
  3. 136
  4. 54
  5. 25
  6. 28
  7. 49
  8. 30
  9. 114
  10. 36
  11. 132
  12. 80
  13. 81
  14. 24
  15. 9
  16. 21
  17. 30
  18. 350
  19. 78
  20. 104
  21. 46
  22. 8
  23. 16
  24. 42
  25. 30
  26. 10
  27. 55
  28. 81
  29. 276
  30. 48
  31. 172
  32. 12
  33. 56
  34. 35
  35. 62
  36. 10
  37. 28
  38. 88
  39. 42
  40. 32

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