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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 780 · 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.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  3. 3.Divide ₹885 between Aarav and Pooja in the ratio 8 : 7. How much does Aarav get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  5. 5.Divide ₹392 between Kavya and Ananya in the ratio 3 : 4. How much does Ananya get (in ₹)?
  6. 6.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  7. 7.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  8. 8.Divide ₹117 between Diya and Vivaan in the ratio 2 : 1. How much does Diya get (in ₹)?
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  11. 11.Divide ₹152 between Diya and Kabir in the ratio 7 : 1. How much does Diya get (in ₹)?
  12. 12.7 : 15 = 42 : ?
  13. 13.9 : 7 = 72 : ?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  15. 15.2 : 13 = 18 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  17. 17.Divide ₹660 between Nisha and Aditya in the ratio 6 : 5. How much does Aditya get (in ₹)?
  18. 18.3 : 11 = 12 : ?
  19. 19.3 : 6 = 6 : ?
  20. 20.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  21. 21.7 : 5 = 28 : ?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.Divide ₹450 between Sneha and Vivaan in the ratio 8 : 7. How much does Vivaan get (in ₹)?
  24. 24.4 : 7 = 12 : ?
  25. 25.Divide ₹598 between Arjun and Nisha in the ratio 5 : 8. How much does Arjun get (in ₹)?
  26. 26.12 : 10 = 36 : ?
  27. 27.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  28. 28.Divide ₹130 between Ananya and Aarav in the ratio 2 : 3. How much does Ananya get (in ₹)?
  29. 29.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  30. 30.2 : 10 = 12 : ?
  31. 31.Divide ₹374 between Pooja and Rahul in the ratio 4 : 7. How much does Pooja get (in ₹)?
  32. 32.Divide ₹423 between Saanvi and Diya in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  33. 33.4 : 2 = 12 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  35. 35.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  36. 36.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  37. 37.Divide ₹901 between Nisha and Aditya in the ratio 9 : 8. How much does Nisha get (in ₹)?
  38. 38.9 : 14 = 27 : ?
  39. 39.6 : 3 = 24 : ?
  40. 40.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).

Answer key

  1. 7
  2. 28
  3. 472
  4. 16
  5. 224
  6. 200
  7. 35
  8. 78
  9. 36
  10. 10
  11. 133
  12. 90
  13. 56
  14. 7
  15. 117
  16. 4
  17. 300
  18. 44
  19. 12
  20. 21
  21. 20
  22. 45
  23. 210
  24. 21
  25. 230
  26. 30
  27. 24
  28. 52
  29. 150
  30. 60
  31. 136
  32. 188
  33. 6
  34. 6
  35. 225
  36. 32
  37. 477
  38. 42
  39. 12
  40. 125

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