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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 91 · 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.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  2. 2.Divide ₹624 between Saanvi and Kabir in the ratio 9 : 4. How much does Kabir get (in ₹)?
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.Divide ₹406 between Ishaan and Sneha in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  6. 6.Divide ₹105 between Rahul and Saanvi in the ratio 7 : 8. How much does Saanvi get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  8. 8.11 : 4 = 33 : ?
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  12. 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  13. 13.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  14. 14.3 : 8 = 9 : ?
  15. 15.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  16. 16.Divide ₹154 between Vivaan and Aarav in the ratio 5 : 2. How much does Aarav get (in ₹)?
  17. 17.Divide ₹175 between Diya and Rahul in the ratio 1 : 6. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  19. 19.Divide ₹676 between Aditya and Sneha in the ratio 6 : 7. How much does Sneha get (in ₹)?
  20. 20.Divide ₹525 between Arjun and Aarav in the ratio 8 : 7. How much does Arjun get (in ₹)?
  21. 21.7 : 6 = 14 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  24. 24.Divide ₹144 between Sneha and Zoya in the ratio 1 : 8. How much does Sneha get (in ₹)?
  25. 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  27. 27.5 : 3 = 45 : ?
  28. 28.9 : 3 = 36 : ?
  29. 29.8 : 12 = 72 : ?
  30. 30.Divide ₹578 between Kabir and Rohan in the ratio 8 : 9. How much does Kabir get (in ₹)?
  31. 31.Divide ₹209 between Pooja and Rahul in the ratio 5 : 6. How much does Pooja get (in ₹)?
  32. 32.Divide ₹231 between Vivaan and Diya in the ratio 2 : 5. How much does Diya get (in ₹)?
  33. 33.Divide ₹492 between Pooja and Saanvi in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  34. 34.2 : 3 = 8 : ?
  35. 35.Divide ₹531 between Zoya and Farhan in the ratio 1 : 8. How much does Zoya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  37. 37.Divide ₹102 between Sneha and Pooja in the ratio 8 : 9. How much does Sneha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  39. 39.Divide ₹152 between Farhan and Kavya in the ratio 1 : 7. How much does Farhan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?

Answer key

  1. 10
  2. 192
  3. 24
  4. 174
  5. 54
  6. 56
  7. 48
  8. 12
  9. 36
  10. 175
  11. 150
  12. 75
  13. 112
  14. 24
  15. 8
  16. 44
  17. 150
  18. 45
  19. 364
  20. 280
  21. 12
  22. 30
  23. 16
  24. 16
  25. 63
  26. 42
  27. 27
  28. 12
  29. 108
  30. 272
  31. 95
  32. 165
  33. 287
  34. 12
  35. 59
  36. 6
  37. 48
  38. 9
  39. 19
  40. 24

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