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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 493 · 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.Divide ₹168 between Vivaan and Priya in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  2. 2.8 : 9 = 48 : ?
  3. 3.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  4. 4.Divide ₹176 between Aditya and Diya in the ratio 4 : 7. How much does Diya get (in ₹)?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.9 : 6 = 54 : ?
  7. 7.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  8. 8.Divide ₹136 between Arjun and Isha in the ratio 3 : 1. How much does Isha get (in ₹)?
  9. 9.8 : 15 = 48 : ?
  10. 10.Divide ₹220 between Sneha and Aarav in the ratio 7 : 4. How much does Aarav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  12. 12.Divide ₹371 between Isha and Dev in the ratio 3 : 4. How much does Isha get (in ₹)?
  13. 13.5 : 9 = 10 : ?
  14. 14.2 : 6 = 10 : ?
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  19. 19.Divide ₹432 between Rahul and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  20. 20.4 : 3 = 36 : ?
  21. 21.Divide ₹561 between Meera and Rohan in the ratio 4 : 7. How much does Meera get (in ₹)?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  25. 25.Divide ₹130 between Arjun and Kavya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  26. 26.Divide ₹238 between Manav and Rohan in the ratio 5 : 2. How much does Manav get (in ₹)?
  27. 27.12 : 8 = 48 : ?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  30. 30.6 : 15 = 48 : ?
  31. 31.Divide ₹240 between Rohan and Priya in the ratio 3 : 2. How much does Rohan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  33. 33.11 : 3 = 44 : ?
  34. 34.Divide ₹198 between Kabir and Tara in the ratio 2 : 9. How much does Tara get (in ₹)?
  35. 35.10 : 13 = 90 : ?
  36. 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  37. 37.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  38. 38.4 : 11 = 32 : ?
  39. 39.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?

Answer key

  1. 147
  2. 54
  3. 64
  4. 112
  5. 200
  6. 36
  7. 24
  8. 34
  9. 90
  10. 80
  11. 90
  12. 159
  13. 18
  14. 30
  15. 75
  16. 30
  17. 21
  18. 4
  19. 96
  20. 27
  21. 204
  22. 36
  23. 18
  24. 27
  25. 39
  26. 170
  27. 32
  28. 96
  29. 21
  30. 120
  31. 144
  32. 24
  33. 12
  34. 162
  35. 117
  36. 32
  37. 3
  38. 88
  39. 150
  40. 35

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