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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 453 · 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 ₹235 between Vivaan and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?
  2. 2.4 : 2 = 8 : ?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  5. 5.10 : 13 = 20 : ?
  6. 6.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  7. 7.Divide ₹72 between Diya and Manav in the ratio 1 : 8. How much does Diya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  10. 10.Divide ₹162 between Tara and Karan in the ratio 7 : 2. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  12. 12.9 : 8 = 45 : ?
  13. 13.Divide ₹171 between Diya and Isha in the ratio 1 : 8. How much does Diya get (in ₹)?
  14. 14.Divide ₹25 between Ishaan and Isha in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  16. 16.3 : 14 = 24 : ?
  17. 17.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  18. 18.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  19. 19.6 : 4 = 24 : ?
  20. 20.Divide ₹408 between Ananya and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.6 : 15 = 18 : ?
  24. 24.Divide ₹280 between Aarav and Isha in the ratio 7 : 3. How much does Aarav get (in ₹)?
  25. 25.12 : 2 = 24 : ?
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.Divide ₹264 between Saanvi and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  28. 28.4 : 12 = 32 : ?
  29. 29.Divide ₹140 between Rohan and Aarav in the ratio 1 : 6. How much does Aarav get (in ₹)?
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  32. 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  33. 33.6 : 5 = 42 : ?
  34. 34.10 : 4 = 40 : ?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  38. 38.Divide ₹290 between Dev and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  39. 39.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  40. 40.Divide ₹480 between Rohan and Farhan in the ratio 7 : 1. How much does Farhan get (in ₹)?

Answer key

  1. 47
  2. 4
  3. 32
  4. 128
  5. 26
  6. 90
  7. 8
  8. 28
  9. 6
  10. 36
  11. 25
  12. 40
  13. 19
  14. 15
  15. 36
  16. 112
  17. 81
  18. 21
  19. 16
  20. 238
  21. 15
  22. 45
  23. 45
  24. 196
  25. 4
  26. 20
  27. 154
  28. 96
  29. 120
  30. 24
  31. 16
  32. 50
  33. 35
  34. 16
  35. 63
  36. 27
  37. 10
  38. 29
  39. 64
  40. 60

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