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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 12 · 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. 1.10 : 4 = 40 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  3. 3.Divide ₹944 between Manav and Aditya in the ratio 7 : 9. How much does Manav get (in ₹)?
  4. 4.8 : 4 = 16 : ?
  5. 5.3 : 12 = 9 : ?
  6. 6.4 : 6 = 32 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  9. 9.5 : 8 = 15 : ?
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  12. 12.Divide ₹368 between Meera and Rahul in the ratio 3 : 5. How much does Meera get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  15. 15.Divide ₹704 between Farhan and Sneha in the ratio 7 : 9. How much does Farhan get (in ₹)?
  16. 16.8 : 9 = 56 : ?
  17. 17.3 : 4 = 27 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  20. 20.Divide ₹400 between Aarav and Farhan in the ratio 7 : 9. How much does Farhan get (in ₹)?
  21. 21.Divide ₹95 between Karan and Diya in the ratio 1 : 4. How much does Diya get (in ₹)?
  22. 22.Divide ₹429 between Farhan and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  23. 23.9 : 11 = 18 : ?
  24. 24.Divide ₹217 between Arjun and Diya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  26. 26.8 : 12 = 32 : ?
  27. 27.Divide ₹84 between Diya and Aarav in the ratio 5 : 9. How much does Diya get (in ₹)?
  28. 28.Divide ₹684 between Zoya and Aditya in the ratio 5 : 7. How much does Zoya get (in ₹)?
  29. 29.11 : 10 = 33 : ?
  30. 30.Divide ₹81 between Aarav and Isha in the ratio 5 : 4. How much does Aarav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  32. 32.4 : 3 = 16 : ?
  33. 33.Divide ₹280 between Ananya and Meera in the ratio 2 : 3. How much does Ananya get (in ₹)?
  34. 34.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  35. 35.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  36. 36.3 : 4 = 12 : ?
  37. 37.Divide ₹306 between Kavya and Sneha in the ratio 5 : 4. How much does Sneha get (in ₹)?
  38. 38.Divide ₹30 between Arjun and Vivaan in the ratio 2 : 3. How much does Arjun get (in ₹)?
  39. 39.10 : 4 = 50 : ?
  40. 40.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?

Answer key

  1. 16
  2. 63
  3. 413
  4. 8
  5. 36
  6. 48
  7. 6
  8. 24
  9. 24
  10. 16
  11. 63
  12. 138
  13. 32
  14. 16
  15. 308
  16. 63
  17. 36
  18. 20
  19. 27
  20. 225
  21. 76
  22. 297
  23. 22
  24. 124
  25. 63
  26. 48
  27. 30
  28. 285
  29. 30
  30. 45
  31. 21
  32. 12
  33. 112
  34. 27
  35. 225
  36. 16
  37. 136
  38. 12
  39. 20
  40. 7

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