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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 87 · 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 : 2. There are 63 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  5. 5.Divide ₹275 between Manav and Nisha in the ratio 2 : 3. How much does Nisha get (in ₹)?
  6. 6.4 : 15 = 28 : ?
  7. 7.2 : 12 = 8 : ?
  8. 8.6 : 15 = 36 : ?
  9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  10. 10.9 : 6 = 27 : ?
  11. 11.Divide ₹54 between Karan and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
  12. 12.Divide ₹42 between Kavya and Sneha in the ratio 1 : 6. How much does Sneha get (in ₹)?
  13. 13.2 : 15 = 4 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  15. 15.Divide ₹98 between Diya and Ananya in the ratio 6 : 1. How much does Ananya get (in ₹)?
  16. 16.Divide ₹540 between Isha and Kavya in the ratio 7 : 3. How much does Isha get (in ₹)?
  17. 17.6 : 9 = 42 : ?
  18. 18.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  19. 19.11 : 15 = 22 : ?
  20. 20.9 : 8 = 27 : ?
  21. 21.Divide ₹517 between Arjun and Nisha in the ratio 5 : 6. How much does Arjun get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  23. 23.11 : 10 = 66 : ?
  24. 24.Divide ₹320 between Isha and Rohan in the ratio 7 : 9. How much does Isha get (in ₹)?
  25. 25.7 : 9 = 21 : ?
  26. 26.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  30. 30.Divide ₹70 between Sneha and Isha in the ratio 6 : 1. How much does Sneha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  32. 32.Divide ₹252 between Dev and Isha in the ratio 1 : 5. How much does Dev get (in ₹)?
  33. 33.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  34. 34.Divide ₹99 between Ishaan and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
  35. 35.7 : 2 = 14 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  37. 37.Divide ₹312 between Saanvi and Diya in the ratio 5 : 3. How much does Diya get (in ₹)?
  38. 38.4 : 12 = 24 : ?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.Divide ₹78 between Vivaan and Kavya in the ratio 5 : 1. How much does Vivaan get (in ₹)?

Answer key

  1. 18
  2. 16
  3. 18
  4. 8
  5. 165
  6. 105
  7. 48
  8. 90
  9. 48
  10. 18
  11. 48
  12. 36
  13. 30
  14. 15
  15. 14
  16. 378
  17. 63
  18. 56
  19. 30
  20. 24
  21. 235
  22. 6
  23. 60
  24. 140
  25. 27
  26. 20
  27. 45
  28. 20
  29. 48
  30. 60
  31. 90
  32. 42
  33. 112
  34. 66
  35. 4
  36. 8
  37. 117
  38. 72
  39. 27
  40. 65

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