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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 922 · 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).

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  1. 1.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.Divide ₹120 between Diya and Rahul in the ratio 7 : 3. How much does Diya get (in ₹)?
  3. 3.Divide ₹585 between Ananya and Dev in the ratio 7 : 8. How much does Dev get (in ₹)?
  4. 4.Divide ₹572 between Aarav and Zoya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  5. 5.4 : 11 = 16 : ?
  6. 6.Divide ₹72 between Priya and Rohan in the ratio 8 : 1. How much does Priya get (in ₹)?
  7. 7.Divide ₹80 between Rohan and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  8. 8.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  10. 10.3 : 9 = 15 : ?
  11. 11.8 : 9 = 16 : ?
  12. 12.11 : 8 = 44 : ?
  13. 13.Divide ₹104 between Diya and Nisha in the ratio 6 : 7. How much does Diya get (in ₹)?
  14. 14.3 : 5 = 24 : ?
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.8 : 2 = 64 : ?
  17. 17.Divide ₹153 between Rahul and Arjun in the ratio 9 : 8. How much does Arjun get (in ₹)?
  18. 18.8 : 2 = 24 : ?
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.Divide ₹279 between Isha and Diya in the ratio 4 : 5. How much does Diya get (in ₹)?
  22. 22.Divide ₹540 between Sneha and Aditya in the ratio 2 : 7. How much does Sneha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  24. 24.Divide ₹357 between Rohan and Meera in the ratio 1 : 6. How much does Rohan get (in ₹)?
  25. 25.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  27. 27.2 : 3 = 6 : ?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.5 : 10 = 10 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.11 : 2 = 44 : ?
  35. 35.8 : 5 = 32 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  37. 37.Divide ₹84 between Kavya and Manav in the ratio 1 : 5. How much does Manav get (in ₹)?
  38. 38.12 : 6 = 36 : ?
  39. 39.6 : 5 = 42 : ?
  40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

Answer key

  1. 144
  2. 84
  3. 312
  4. 396
  5. 44
  6. 64
  7. 56
  8. 50
  9. 3
  10. 45
  11. 18
  12. 32
  13. 48
  14. 40
  15. 32
  16. 16
  17. 72
  18. 6
  19. 8
  20. 45
  21. 155
  22. 120
  23. 10
  24. 51
  25. 112
  26. 42
  27. 9
  28. 28
  29. 20
  30. 24
  31. 27
  32. 28
  33. 18
  34. 8
  35. 20
  36. 21
  37. 70
  38. 18
  39. 35
  40. 225

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