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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 771 · 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.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  2. 2.6 : 3 = 54 : ?
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.11 : 9 = 55 : ?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  6. 6.12 : 2 = 84 : ?
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.2 : 6 = 16 : ?
  9. 9.Divide ₹812 between Rohan and Diya in the ratio 9 : 5. How much does Rohan get (in ₹)?
  10. 10.Divide ₹80 between Kavya and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
  11. 11.Divide ₹153 between Sneha and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.10 : 2 = 60 : ?
  14. 14.Divide ₹77 between Manav and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  16. 16.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  17. 17.8 : 2 = 24 : ?
  18. 18.2 : 3 = 10 : ?
  19. 19.Divide ₹216 between Aarav and Dev in the ratio 1 : 8. How much does Aarav get (in ₹)?
  20. 20.3 : 10 = 24 : ?
  21. 21.Divide ₹126 between Saanvi and Dev in the ratio 3 : 4. How much does Dev get (in ₹)?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.5 : 11 = 30 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  26. 26.Divide ₹540 between Kavya and Farhan in the ratio 9 : 1. How much does Farhan get (in ₹)?
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.10 : 15 = 40 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  30. 30.Divide ₹132 between Vivaan and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  31. 31.Divide ₹30 between Isha and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  32. 32.Divide ₹198 between Nisha and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  33. 33.Divide ₹455 between Ananya and Pooja in the ratio 9 : 4. How much does Ananya get (in ₹)?
  34. 34.6 : 5 = 42 : ?
  35. 35.Divide ₹270 between Sneha and Dev in the ratio 2 : 3. How much does Dev get (in ₹)?
  36. 36.9 : 8 = 18 : ?
  37. 37.Divide ₹741 between Isha and Farhan in the ratio 5 : 8. How much does Isha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.Divide ₹255 between Tara and Kabir in the ratio 8 : 7. How much does Kabir get (in ₹)?

Answer key

  1. 12
  2. 27
  3. 75
  4. 45
  5. 10
  6. 14
  7. 18
  8. 48
  9. 522
  10. 48
  11. 102
  12. 175
  13. 12
  14. 11
  15. 128
  16. 72
  17. 6
  18. 15
  19. 24
  20. 80
  21. 72
  22. 45
  23. 66
  24. 40
  25. 8
  26. 54
  27. 12
  28. 60
  29. 36
  30. 99
  31. 18
  32. 176
  33. 315
  34. 35
  35. 162
  36. 16
  37. 285
  38. 6
  39. 28
  40. 119

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