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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 500 · 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).

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  1. 1.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  2. 2.4 : 2 = 8 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.4 : 11 = 8 : ?
  7. 7.Divide ₹672 between Dev and Arjun in the ratio 9 : 5. How much does Dev get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  10. 10.Divide ₹255 between Kavya and Manav in the ratio 8 : 7. How much does Kavya get (in ₹)?
  11. 11.8 : 9 = 24 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  13. 13.3 : 7 = 21 : ?
  14. 14.Divide ₹132 between Nisha and Meera in the ratio 3 : 8. How much does Nisha get (in ₹)?
  15. 15.7 : 4 = 35 : ?
  16. 16.9 : 7 = 27 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  18. 18.12 : 6 = 72 : ?
  19. 19.Divide ₹459 between Rahul and Isha in the ratio 1 : 8. How much does Rahul get (in ₹)?
  20. 20.8 : 10 = 24 : ?
  21. 21.Divide ₹378 between Ishaan and Aditya in the ratio 1 : 8. How much does Aditya get (in ₹)?
  22. 22.5 : 3 = 15 : ?
  23. 23.5 : 12 = 15 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  25. 25.6 : 9 = 12 : ?
  26. 26.Divide ₹360 between Aarav and Farhan in the ratio 5 : 7. How much does Aarav get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  28. 28.Divide ₹342 between Arjun and Dev in the ratio 7 : 2. How much does Dev get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  30. 30.3 : 6 = 21 : ?
  31. 31.Divide ₹464 between Ananya and Tara in the ratio 7 : 9. How much does Ananya get (in ₹)?
  32. 32.Divide ₹611 between Saanvi and Pooja in the ratio 9 : 4. How much does Pooja get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  35. 35.Divide ₹108 between Aditya and Priya in the ratio 3 : 1. How much does Aditya get (in ₹)?
  36. 36.Divide ₹644 between Rahul and Tara in the ratio 5 : 9. How much does Rahul get (in ₹)?
  37. 37.8 : 5 = 72 : ?
  38. 38.Divide ₹440 between Diya and Rahul in the ratio 3 : 7. How much does Diya get (in ₹)?
  39. 39.Divide ₹319 between Diya and Arjun in the ratio 7 : 4. How much does Arjun get (in ₹)?
  40. 40.Divide ₹228 between Aditya and Isha in the ratio 1 : 5. How much does Aditya get (in ₹)?

Answer key

  1. 48
  2. 4
  3. 6
  4. 8
  5. 75
  6. 22
  7. 432
  8. 15
  9. 10
  10. 136
  11. 27
  12. 14
  13. 49
  14. 36
  15. 20
  16. 21
  17. 50
  18. 36
  19. 51
  20. 30
  21. 336
  22. 9
  23. 36
  24. 20
  25. 18
  26. 150
  27. 35
  28. 76
  29. 2
  30. 42
  31. 203
  32. 188
  33. 9
  34. 3
  35. 81
  36. 230
  37. 45
  38. 132
  39. 116
  40. 38

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