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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 185 · 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. 1.5 : 8 = 10 : ?
  2. 2.9 : 2 = 18 : ?
  3. 3.12 : 2 = 48 : ?
  4. 4.Divide ₹288 between Ananya and Diya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  5. 5.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.5 : 12 = 30 : ?
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.Divide ₹473 between Rahul and Karan in the ratio 7 : 4. How much does Rahul get (in ₹)?
  10. 10.Divide ₹580 between Arjun and Zoya in the ratio 7 : 3. How much does Arjun get (in ₹)?
  11. 11.Divide ₹160 between Karan and Arjun in the ratio 3 : 2. How much does Karan get (in ₹)?
  12. 12.Divide ₹468 between Sneha and Ishaan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  14. 14.Divide ₹640 between Tara and Rohan in the ratio 9 : 7. How much does Tara get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  19. 19.Divide ₹304 between Kavya and Ananya in the ratio 7 : 1. How much does Ananya get (in ₹)?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  23. 23.10 : 9 = 80 : ?
  24. 24.4 : 5 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  26. 26.6 : 12 = 54 : ?
  27. 27.Divide ₹189 between Ishaan and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  29. 29.11 : 5 = 55 : ?
  30. 30.Divide ₹765 between Diya and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  32. 32.Divide ₹55 between Manav and Priya in the ratio 6 : 5. How much does Manav get (in ₹)?
  33. 33.Divide ₹408 between Meera and Aditya in the ratio 7 : 1. How much does Meera get (in ₹)?
  34. 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  35. 35.Divide ₹136 between Ishaan and Kavya in the ratio 1 : 3. How much does Kavya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  38. 38.Divide ₹741 between Nisha and Rohan in the ratio 8 : 5. How much does Nisha get (in ₹)?
  39. 39.3 : 11 = 12 : ?
  40. 40.10 : 7 = 40 : ?

Answer key

  1. 16
  2. 4
  3. 8
  4. 108
  5. 112
  6. 20
  7. 72
  8. 96
  9. 301
  10. 406
  11. 96
  12. 324
  13. 45
  14. 360
  15. 5
  16. 4
  17. 75
  18. 40
  19. 38
  20. 16
  21. 63
  22. 27
  23. 72
  24. 25
  25. 56
  26. 108
  27. 21
  28. 35
  29. 25
  30. 408
  31. 24
  32. 30
  33. 357
  34. 18
  35. 102
  36. 24
  37. 12
  38. 456
  39. 44
  40. 28

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