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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 564 · 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. 1.7 : 15 = 63 : ?
  2. 2.Divide ₹141 between Rohan and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
  3. 3.Divide ₹450 between Manav and Saanvi in the ratio 7 : 8. How much does Saanvi get (in ₹)?
  4. 4.Divide ₹318 between Kavya and Sneha in the ratio 1 : 5. How much does Kavya get (in ₹)?
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  7. 7.9 : 15 = 36 : ?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  10. 10.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  11. 11.Divide ₹150 between Meera and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  12. 12.2 : 10 = 14 : ?
  13. 13.11 : 2 = 33 : ?
  14. 14.4 : 15 = 28 : ?
  15. 15.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.Divide ₹264 between Kabir and Pooja in the ratio 1 : 5. How much does Kabir get (in ₹)?
  18. 18.Divide ₹570 between Nisha and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  19. 19.2 : 5 = 4 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  23. 23.10 : 11 = 40 : ?
  24. 24.Divide ₹598 between Aarav and Pooja in the ratio 7 : 6. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  26. 26.3 : 11 = 24 : ?
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.2 : 8 = 4 : ?
  30. 30.7 : 4 = 14 : ?
  31. 31.3 : 13 = 9 : ?
  32. 32.Divide ₹60 between Karan and Arjun in the ratio 1 : 4. How much does Karan get (in ₹)?
  33. 33.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  34. 34.Divide ₹90 between Aditya and Kabir in the ratio 2 : 7. How much does Kabir get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  36. 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  37. 37.Divide ₹408 between Isha and Ananya in the ratio 8 : 9. How much does Isha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  39. 39.Divide ₹510 between Aarav and Kavya in the ratio 7 : 3. How much does Aarav get (in ₹)?
  40. 40.11 : 7 = 77 : ?

Answer key

  1. 135
  2. 94
  3. 240
  4. 53
  5. 54
  6. 8
  7. 60
  8. 8
  9. 48
  10. 63
  11. 15
  12. 70
  13. 6
  14. 105
  15. 18
  16. 28
  17. 44
  18. 513
  19. 10
  20. 18
  21. 10
  22. 9
  23. 44
  24. 322
  25. 16
  26. 88
  27. 81
  28. 96
  29. 16
  30. 8
  31. 39
  32. 12
  33. 45
  34. 70
  35. 14
  36. 36
  37. 192
  38. 6
  39. 357
  40. 49

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