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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 921 · 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 27 (that is, 9 : 27 = 27 : ?).
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  5. 5.Divide ₹407 between Aditya and Kavya in the ratio 8 : 3. How much does Aditya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  7. 7.Divide ₹170 between Vivaan and Rohan in the ratio 1 : 4. How much does Rohan get (in ₹)?
  8. 8.7 : 14 = 63 : ?
  9. 9.Divide ₹180 between Rohan and Farhan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  10. 10.Divide ₹217 between Ananya and Kabir in the ratio 5 : 2. How much does Kabir get (in ₹)?
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.Divide ₹30 between Meera and Rahul in the ratio 5 : 1. How much does Rahul get (in ₹)?
  13. 13.9 : 4 = 63 : ?
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.Divide ₹396 between Zoya and Aditya in the ratio 2 : 9. How much does Zoya get (in ₹)?
  16. 16.10 : 11 = 70 : ?
  17. 17.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  18. 18.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  19. 19.Divide ₹224 between Priya and Ananya in the ratio 1 : 7. How much does Priya get (in ₹)?
  20. 20.Divide ₹110 between Rahul and Nisha in the ratio 3 : 8. How much does Rahul get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.11 : 13 = 99 : ?
  26. 26.2 : 10 = 16 : ?
  27. 27.Divide ₹243 between Aarav and Rohan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  29. 29.12 : 4 = 84 : ?
  30. 30.Divide ₹15 between Diya and Ananya in the ratio 2 : 1. How much does Diya get (in ₹)?
  31. 31.Divide ₹253 between Manav and Arjun in the ratio 2 : 9. How much does Manav get (in ₹)?
  32. 32.Divide ₹468 between Saanvi and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  33. 33.Divide ₹765 between Zoya and Kabir in the ratio 7 : 8. How much does Kabir get (in ₹)?
  34. 34.6 : 13 = 42 : ?
  35. 35.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  36. 36.Divide ₹320 between Saanvi and Priya in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  37. 37.4 : 13 = 24 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?

Answer key

  1. 81
  2. 18
  3. 4
  4. 144
  5. 296
  6. 24
  7. 136
  8. 126
  9. 105
  10. 62
  11. 45
  12. 5
  13. 28
  14. 150
  15. 72
  16. 77
  17. 32
  18. 6
  19. 28
  20. 30
  21. 20
  22. 12
  23. 5
  24. 75
  25. 117
  26. 80
  27. 216
  28. 6
  29. 28
  30. 10
  31. 46
  32. 180
  33. 408
  34. 91
  35. 35
  36. 288
  37. 78
  38. 27
  39. 50
  40. 80

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