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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 260 · 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 9 : 8. There are 45 boys. How many girls are there?
  2. 2.6 : 15 = 36 : ?
  3. 3.7 : 2 = 49 : ?
  4. 4.Divide ₹530 between Aditya and Diya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  5. 5.8 : 10 = 32 : ?
  6. 6.Divide ₹168 between Ananya and Manav in the ratio 1 : 7. How much does Ananya get (in ₹)?
  7. 7.12 : 5 = 108 : ?
  8. 8.12 : 2 = 108 : ?
  9. 9.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  12. 12.9 : 5 = 81 : ?
  13. 13.Divide ₹306 between Rohan and Saanvi in the ratio 5 : 1. How much does Rohan get (in ₹)?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  17. 17.Divide ₹468 between Kabir and Aditya in the ratio 8 : 5. How much does Kabir get (in ₹)?
  18. 18.3 : 2 = 9 : ?
  19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  20. 20.6 : 9 = 42 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  22. 22.12 : 14 = 72 : ?
  23. 23.Divide ₹528 between Arjun and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  24. 24.Divide ₹576 between Farhan and Tara in the ratio 9 : 7. How much does Farhan get (in ₹)?
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.12 : 9 = 108 : ?
  27. 27.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  28. 28.3 : 12 = 12 : ?
  29. 29.Divide ₹624 between Diya and Dev in the ratio 6 : 7. How much does Diya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  31. 31.9 : 3 = 36 : ?
  32. 32.Divide ₹216 between Ishaan and Rohan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  34. 34.Divide ₹162 between Kavya and Priya in the ratio 7 : 2. How much does Kavya get (in ₹)?
  35. 35.5 : 6 = 45 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  37. 37.Divide ₹520 between Isha and Pooja in the ratio 7 : 3. How much does Isha get (in ₹)?
  38. 38.Divide ₹171 between Priya and Manav in the ratio 5 : 4. How much does Priya get (in ₹)?
  39. 39.9 : 15 = 36 : ?
  40. 40.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).

Answer key

  1. 40
  2. 90
  3. 14
  4. 477
  5. 40
  6. 21
  7. 45
  8. 18
  9. 10
  10. 24
  11. 80
  12. 45
  13. 255
  14. 32
  15. 25
  16. 63
  17. 288
  18. 6
  19. 225
  20. 63
  21. 14
  22. 84
  23. 231
  24. 324
  25. 36
  26. 81
  27. 100
  28. 48
  29. 288
  30. 4
  31. 12
  32. 54
  33. 56
  34. 126
  35. 54
  36. 2
  37. 364
  38. 95
  39. 60
  40. 24

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