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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 137 · 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. 1.10 : 9 = 30 : ?
  2. 2.5 : 4 = 15 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  4. 4.6 : 4 = 12 : ?
  5. 5.Divide ₹539 between Kavya and Nisha in the ratio 7 : 4. How much does Nisha get (in ₹)?
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.Divide ₹70 between Ananya and Pooja in the ratio 5 : 2. How much does Ananya get (in ₹)?
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.12 : 3 = 36 : ?
  11. 11.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  14. 14.12 : 11 = 24 : ?
  15. 15.Divide ₹810 between Rahul and Nisha in the ratio 8 : 7. How much does Rahul get (in ₹)?
  16. 16.7 : 2 = 14 : ?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.8 : 3 = 24 : ?
  19. 19.Divide ₹40 between Rohan and Isha in the ratio 3 : 2. How much does Rohan get (in ₹)?
  20. 20.10 : 8 = 30 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  23. 23.Divide ₹598 between Ananya and Saanvi in the ratio 7 : 6. How much does Saanvi get (in ₹)?
  24. 24.Divide ₹210 between Farhan and Kabir in the ratio 3 : 2. How much does Farhan get (in ₹)?
  25. 25.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.8 : 11 = 32 : ?
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  29. 29.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.9 : 10 = 63 : ?
  33. 33.Divide ₹399 between Karan and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
  34. 34.2 : 14 = 8 : ?
  35. 35.6 : 14 = 36 : ?
  36. 36.9 : 13 = 36 : ?
  37. 37.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  38. 38.Divide ₹104 between Zoya and Rohan in the ratio 1 : 3. How much does Zoya get (in ₹)?
  39. 39.Divide ₹735 between Tara and Zoya in the ratio 7 : 8. How much does Tara get (in ₹)?
  40. 40.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).

Answer key

  1. 27
  2. 12
  3. 7
  4. 8
  5. 196
  6. 24
  7. 50
  8. 63
  9. 50
  10. 9
  11. 36
  12. 30
  13. 72
  14. 22
  15. 432
  16. 4
  17. 20
  18. 9
  19. 24
  20. 24
  21. 42
  22. 5
  23. 276
  24. 126
  25. 28
  26. 112
  27. 44
  28. 6
  29. 27
  30. 16
  31. 100
  32. 70
  33. 342
  34. 56
  35. 84
  36. 52
  37. 8
  38. 26
  39. 343
  40. 54

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