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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 166 · 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 9 : 1. There are 72 boys. How many girls are there?
  2. 2.6 : 8 = 48 : ?
  3. 3.Divide ₹231 between Zoya and Diya in the ratio 9 : 2. How much does Zoya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  5. 5.Divide ₹255 between Saanvi and Priya in the ratio 8 : 7. How much does Saanvi get (in ₹)?
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.3 : 11 = 15 : ?
  8. 8.7 : 13 = 42 : ?
  9. 9.8 : 13 = 72 : ?
  10. 10.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  11. 11.Divide ₹117 between Aarav and Kabir in the ratio 7 : 2. How much does Kabir get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  14. 14.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  15. 15.Divide ₹306 between Farhan and Zoya in the ratio 8 : 9. How much does Farhan get (in ₹)?
  16. 16.4 : 5 = 16 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  19. 19.Divide ₹70 between Karan and Saanvi in the ratio 7 : 3. How much does Karan get (in ₹)?
  20. 20.Divide ₹182 between Zoya and Rahul in the ratio 6 : 7. How much does Zoya get (in ₹)?
  21. 21.Divide ₹36 between Priya and Sneha in the ratio 1 : 5. How much does Sneha get (in ₹)?
  22. 22.2 : 5 = 10 : ?
  23. 23.Divide ₹117 between Kavya and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  24. 24.Divide ₹627 between Isha and Pooja in the ratio 6 : 5. How much does Isha get (in ₹)?
  25. 25.Divide ₹143 between Rahul and Ishaan in the ratio 5 : 8. How much does Rahul get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  28. 28.Divide ₹96 between Ananya and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.Divide ₹495 between Ananya and Aditya in the ratio 7 : 8. How much does Ananya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  33. 33.Divide ₹144 between Kabir and Nisha in the ratio 2 : 1. How much does Nisha get (in ₹)?
  34. 34.Divide ₹104 between Ishaan and Nisha in the ratio 3 : 5. How much does Nisha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  36. 36.Divide ₹304 between Farhan and Diya in the ratio 3 : 5. How much does Diya get (in ₹)?
  37. 37.Divide ₹848 between Pooja and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  39. 39.2 : 15 = 10 : ?
  40. 40.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?

Answer key

  1. 8
  2. 64
  3. 189
  4. 6
  5. 136
  6. 36
  7. 55
  8. 78
  9. 117
  10. 35
  11. 26
  12. 7
  13. 24
  14. 81
  15. 144
  16. 20
  17. 35
  18. 20
  19. 49
  20. 84
  21. 30
  22. 25
  23. 13
  24. 342
  25. 55
  26. 10
  27. 40
  28. 42
  29. 35
  30. 144
  31. 231
  32. 49
  33. 48
  34. 65
  35. 70
  36. 190
  37. 477
  38. 45
  39. 75
  40. 90

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