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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 351 · 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. 1.12 : 13 = 96 : ?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Divide ₹225 between Ananya and Pooja in the ratio 1 : 4. How much does Pooja get (in ₹)?
  4. 4.Divide ₹638 between Arjun and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  6. 6.Divide ₹450 between Tara and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
  7. 7.Divide ₹32 between Kabir and Farhan in the ratio 3 : 1. How much does Kabir get (in ₹)?
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  10. 10.Divide ₹517 between Diya and Ishaan in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  11. 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  12. 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  13. 13.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  14. 14.Divide ₹51 between Meera and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
  15. 15.Divide ₹84 between Aarav and Meera in the ratio 2 : 5. How much does Aarav get (in ₹)?
  16. 16.3 : 13 = 6 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.3 : 14 = 27 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  22. 22.Divide ₹429 between Arjun and Saanvi in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  23. 23.9 : 7 = 81 : ?
  24. 24.4 : 11 = 24 : ?
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.Divide ₹110 between Zoya and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  27. 27.10 : 15 = 90 : ?
  28. 28.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  29. 29.8 : 4 = 48 : ?
  30. 30.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  32. 32.Divide ₹272 between Dev and Farhan in the ratio 9 : 7. How much does Farhan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  34. 34.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  35. 35.Divide ₹312 between Saanvi and Dev in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  36. 36.Divide ₹663 between Priya and Karan in the ratio 9 : 8. How much does Priya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  38. 38.Divide ₹111 between Vivaan and Diya in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.10 : 2 = 90 : ?

Answer key

  1. 104
  2. 20
  3. 180
  4. 290
  5. 35
  6. 100
  7. 24
  8. 63
  9. 45
  10. 188
  11. 175
  12. 75
  13. 54
  14. 34
  15. 24
  16. 26
  17. 81
  18. 225
  19. 8
  20. 126
  21. 42
  22. 117
  23. 63
  24. 66
  25. 36
  26. 80
  27. 135
  28. 30
  29. 24
  30. 96
  31. 8
  32. 119
  33. 90
  34. 12
  35. 52
  36. 351
  37. 16
  38. 74
  39. 50
  40. 18

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