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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 648 · 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.Divide ₹385 between Nisha and Kabir in the ratio 6 : 1. How much does Nisha get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  3. 3.Divide ₹65 between Meera and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  4. 4.5 : 8 = 20 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.4 : 3 = 24 : ?
  8. 8.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  10. 10.4 : 2 = 28 : ?
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.Divide ₹637 between Farhan and Ananya in the ratio 8 : 5. How much does Ananya get (in ₹)?
  13. 13.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  16. 16.Divide ₹441 between Saanvi and Ishaan in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.Divide ₹52 between Saanvi and Dev in the ratio 1 : 3. How much does Dev get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.10 : 9 = 90 : ?
  24. 24.7 : 5 = 49 : ?
  25. 25.Divide ₹168 between Tara and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  26. 26.Divide ₹333 between Aarav and Isha in the ratio 2 : 7. How much does Isha get (in ₹)?
  27. 27.11 : 12 = 77 : ?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  30. 30.9 : 5 = 63 : ?
  31. 31.2 : 13 = 6 : ?
  32. 32.Divide ₹627 between Vivaan and Kavya in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  33. 33.Divide ₹198 between Kavya and Aditya in the ratio 9 : 2. How much does Kavya get (in ₹)?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.Divide ₹649 between Meera and Priya in the ratio 8 : 3. How much does Meera get (in ₹)?
  36. 36.Divide ₹336 between Diya and Meera in the ratio 6 : 1. How much does Meera get (in ₹)?
  37. 37.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  38. 38.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  39. 39.Divide ₹252 between Sneha and Kavya in the ratio 5 : 9. How much does Sneha get (in ₹)?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 330
  2. 15
  3. 25
  4. 32
  5. 12
  6. 20
  7. 18
  8. 175
  9. 81
  10. 14
  11. 45
  12. 245
  13. 100
  14. 42
  15. 30
  16. 343
  17. 3
  18. 2
  19. 72
  20. 39
  21. 6
  22. 48
  23. 81
  24. 35
  25. 105
  26. 259
  27. 84
  28. 32
  29. 18
  30. 35
  31. 39
  32. 114
  33. 162
  34. 24
  35. 472
  36. 48
  37. 200
  38. 36
  39. 90
  40. 8

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