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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 602 · 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. 1.9 : 13 = 72 : ?
  2. 2.Divide ₹136 between Aditya and Vivaan in the ratio 1 : 7. How much does Aditya get (in ₹)?
  3. 3.Divide ₹880 between Rohan and Dev in the ratio 7 : 9. How much does Rohan get (in ₹)?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  6. 6.9 : 12 = 18 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.2 : 7 = 18 : ?
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.7 : 9 = 28 : ?
  13. 13.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  14. 14.Divide ₹288 between Ananya and Kabir in the ratio 1 : 8. How much does Kabir get (in ₹)?
  15. 15.Divide ₹650 between Ishaan and Tara in the ratio 4 : 9. How much does Tara get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  18. 18.Divide ₹270 between Manav and Nisha in the ratio 7 : 3. How much does Nisha get (in ₹)?
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  21. 21.Divide ₹130 between Diya and Kabir in the ratio 1 : 4. How much does Kabir get (in ₹)?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.7 : 5 = 42 : ?
  24. 24.Divide ₹352 between Vivaan and Diya in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.Divide ₹78 between Ananya and Arjun in the ratio 1 : 2. How much does Ananya get (in ₹)?
  27. 27.Divide ₹285 between Kabir and Tara in the ratio 4 : 1. How much does Tara get (in ₹)?
  28. 28.Divide ₹230 between Isha and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  29. 29.Divide ₹583 between Diya and Manav in the ratio 9 : 2. How much does Diya get (in ₹)?
  30. 30.3 : 10 = 24 : ?
  31. 31.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  32. 32.3 : 13 = 6 : ?
  33. 33.Divide ₹235 between Priya and Ananya in the ratio 4 : 1. How much does Priya get (in ₹)?
  34. 34.2 : 5 = 14 : ?
  35. 35.Divide ₹105 between Vivaan and Arjun in the ratio 1 : 6. How much does Arjun get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  37. 37.Divide ₹234 between Meera and Nisha in the ratio 4 : 9. How much does Meera get (in ₹)?
  38. 38.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  39. 39.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?

Answer key

  1. 104
  2. 17
  3. 385
  4. 27
  5. 16
  6. 24
  7. 8
  8. 63
  9. 36
  10. 128
  11. 12
  12. 36
  13. 81
  14. 256
  15. 450
  16. 18
  17. 10
  18. 81
  19. 96
  20. 150
  21. 104
  22. 48
  23. 30
  24. 192
  25. 36
  26. 26
  27. 57
  28. 138
  29. 477
  30. 80
  31. 15
  32. 26
  33. 188
  34. 35
  35. 90
  36. 9
  37. 72
  38. 20
  39. 63
  40. 20

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