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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 819 · 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 6 and 30 (that is, 6 : 30 = 30 : ?).
  2. 2.Divide ₹36 between Tara and Diya in the ratio 5 : 1. How much does Tara get (in ₹)?
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.Divide ₹138 between Saanvi and Kabir in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  6. 6.10 : 14 = 50 : ?
  7. 7.Divide ₹265 between Meera and Nisha in the ratio 2 : 3. How much does Nisha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  10. 10.9 : 6 = 72 : ?
  11. 11.Divide ₹91 between Arjun and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  13. 13.6 : 8 = 42 : ?
  14. 14.Divide ₹156 between Sneha and Pooja in the ratio 9 : 4. How much does Pooja get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  16. 16.2 : 12 = 8 : ?
  17. 17.10 : 4 = 80 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  19. 19.Divide ₹50 between Kabir and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  20. 20.Divide ₹363 between Farhan and Rohan in the ratio 8 : 3. How much does Rohan get (in ₹)?
  21. 21.Divide ₹140 between Diya and Vivaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  22. 22.Divide ₹350 between Ananya and Meera in the ratio 1 : 9. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  24. 24.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  25. 25.12 : 5 = 24 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  27. 27.Divide ₹133 between Meera and Vivaan in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  28. 28.2 : 6 = 18 : ?
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.Divide ₹310 between Arjun and Farhan in the ratio 9 : 1. How much does Arjun get (in ₹)?
  31. 31.9 : 2 = 72 : ?
  32. 32.7 : 9 = 28 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  35. 35.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  36. 36.11 : 5 = 55 : ?
  37. 37.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  38. 38.7 : 13 = 28 : ?
  39. 39.Divide ₹306 between Meera and Aarav in the ratio 9 : 8. How much does Meera get (in ₹)?
  40. 40.12 : 13 = 60 : ?

Answer key

  1. 150
  2. 30
  3. 24
  4. 46
  5. 6
  6. 70
  7. 159
  8. 63
  9. 50
  10. 48
  11. 26
  12. 90
  13. 56
  14. 48
  15. 5
  16. 48
  17. 32
  18. 6
  19. 10
  20. 99
  21. 60
  22. 35
  23. 80
  24. 4
  25. 10
  26. 2
  27. 114
  28. 54
  29. 63
  30. 279
  31. 16
  32. 36
  33. 60
  34. 32
  35. 175
  36. 25
  37. 96
  38. 52
  39. 162
  40. 65

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