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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 941 · 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. 1.12 : 7 = 24 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  3. 3.4 : 6 = 8 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  5. 5.Divide ₹330 between Vivaan and Rahul in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  6. 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  7. 7.5 : 8 = 10 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  9. 9.12 : 3 = 108 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  11. 11.Divide ₹242 between Aditya and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  12. 12.7 : 8 = 21 : ?
  13. 13.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  17. 17.Divide ₹50 between Aditya and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  18. 18.Divide ₹473 between Diya and Manav in the ratio 5 : 6. How much does Manav get (in ₹)?
  19. 19.6 : 7 = 36 : ?
  20. 20.8 : 5 = 56 : ?
  21. 21.9 : 12 = 27 : ?
  22. 22.3 : 13 = 6 : ?
  23. 23.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  24. 24.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  25. 25.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  26. 26.7 : 5 = 21 : ?
  27. 27.Divide ₹153 between Farhan and Nisha in the ratio 8 : 1. How much does Nisha get (in ₹)?
  28. 28.11 : 4 = 99 : ?
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  31. 31.2 : 10 = 6 : ?
  32. 32.11 : 2 = 88 : ?
  33. 33.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  34. 34.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  36. 36.Divide ₹168 between Kavya and Saanvi in the ratio 9 : 5. How much does Kavya get (in ₹)?
  37. 37.Divide ₹231 between Ananya and Kabir in the ratio 7 : 4. How much does Ananya get (in ₹)?
  38. 38.3 : 5 = 27 : ?
  39. 39.Divide ₹55 between Rahul and Meera in the ratio 1 : 4. How much does Rahul get (in ₹)?
  40. 40.Divide ₹140 between Pooja and Aarav in the ratio 9 : 1. How much does Pooja get (in ₹)?

Answer key

  1. 14
  2. 24
  3. 12
  4. 4
  5. 275
  6. 64
  7. 16
  8. 24
  9. 27
  10. 32
  11. 88
  12. 24
  13. 63
  14. 81
  15. 7
  16. 81
  17. 20
  18. 258
  19. 42
  20. 35
  21. 36
  22. 26
  23. 32
  24. 100
  25. 24
  26. 15
  27. 17
  28. 36
  29. 24
  30. 42
  31. 30
  32. 16
  33. 32
  34. 12
  35. 18
  36. 108
  37. 147
  38. 45
  39. 11
  40. 126

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