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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 299 · 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 ₹182 between Vivaan and Kabir in the ratio 5 : 8. How much does Vivaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  3. 3.4 : 5 = 16 : ?
  4. 4.8 : 15 = 72 : ?
  5. 5.Divide ₹60 between Aarav and Rohan in the ratio 5 : 1. How much does Rohan get (in ₹)?
  6. 6.Divide ₹495 between Rohan and Aditya in the ratio 3 : 8. How much does Rohan get (in ₹)?
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.Divide ₹300 between Priya and Zoya in the ratio 8 : 7. How much does Priya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  10. 10.Divide ₹266 between Tara and Aarav in the ratio 4 : 3. How much does Tara get (in ₹)?
  11. 11.Divide ₹105 between Kavya and Pooja in the ratio 6 : 1. How much does Pooja get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
  13. 13.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  14. 14.Divide ₹150 between Rohan and Farhan in the ratio 1 : 4. How much does Rohan get (in ₹)?
  15. 15.5 : 8 = 30 : ?
  16. 16.Divide ₹162 between Tara and Vivaan in the ratio 1 : 5. How much does Tara get (in ₹)?
  17. 17.Divide ₹253 between Rahul and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  20. 20.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  21. 21.12 : 13 = 84 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  23. 23.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  24. 24.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  25. 25.3 : 12 = 6 : ?
  26. 26.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  27. 27.3 : 13 = 18 : ?
  28. 28.Divide ₹88 between Rahul and Saanvi in the ratio 2 : 9. How much does Rahul get (in ₹)?
  29. 29.2 : 10 = 4 : ?
  30. 30.Divide ₹162 between Aarav and Rohan in the ratio 5 : 4. How much does Aarav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  32. 32.Divide ₹171 between Manav and Rohan in the ratio 1 : 2. How much does Manav get (in ₹)?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.11 : 6 = 99 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  38. 38.Divide ₹100 between Pooja and Kabir in the ratio 4 : 1. How much does Pooja get (in ₹)?
  39. 39.Divide ₹120 between Rohan and Rahul in the ratio 1 : 7. How much does Rohan get (in ₹)?
  40. 40.4 : 6 = 16 : ?

Answer key

  1. 70
  2. 56
  3. 20
  4. 135
  5. 10
  6. 135
  7. 72
  8. 160
  9. 20
  10. 152
  11. 15
  12. 30
  13. 81
  14. 30
  15. 48
  16. 27
  17. 69
  18. 75
  19. 12
  20. 50
  21. 91
  22. 15
  23. 28
  24. 27
  25. 24
  26. 9
  27. 78
  28. 16
  29. 20
  30. 90
  31. 6
  32. 57
  33. 16
  34. 20
  35. 63
  36. 54
  37. 81
  38. 80
  39. 15
  40. 24

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