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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 498 · 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 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.Divide ₹224 between Diya and Ananya in the ratio 3 : 4. How much does Ananya get (in ₹)?
  3. 3.Divide ₹216 between Rohan and Aditya in the ratio 5 : 3. How much does Rohan get (in ₹)?
  4. 4.Divide ₹413 between Kavya and Arjun in the ratio 1 : 6. How much does Kavya get (in ₹)?
  5. 5.Divide ₹200 between Pooja and Meera in the ratio 1 : 7. How much does Pooja get (in ₹)?
  6. 6.Divide ₹182 between Kavya and Dev in the ratio 2 : 5. How much does Dev get (in ₹)?
  7. 7.6 : 10 = 18 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.Divide ₹144 between Rahul and Priya in the ratio 7 : 2. How much does Rahul get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  13. 13.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  15. 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  16. 16.3 : 15 = 12 : ?
  17. 17.8 : 12 = 32 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  19. 19.8 : 14 = 32 : ?
  20. 20.Divide ₹450 between Saanvi and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  21. 21.8 : 10 = 32 : ?
  22. 22.Divide ₹225 between Nisha and Ananya in the ratio 5 : 4. How much does Nisha get (in ₹)?
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  25. 25.12 : 14 = 24 : ?
  26. 26.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.Divide ₹462 between Kavya and Sneha in the ratio 5 : 6. How much does Kavya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  32. 32.10 : 2 = 90 : ?
  33. 33.6 : 9 = 18 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  36. 36.Divide ₹533 between Isha and Nisha in the ratio 8 : 5. How much does Nisha get (in ₹)?
  37. 37.10 : 9 = 60 : ?
  38. 38.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  39. 39.Divide ₹205 between Aarav and Diya in the ratio 1 : 4. How much does Diya get (in ₹)?
  40. 40.Divide ₹583 between Farhan and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?

Answer key

  1. 144
  2. 128
  3. 135
  4. 59
  5. 25
  6. 130
  7. 30
  8. 20
  9. 75
  10. 112
  11. 24
  12. 32
  13. 20
  14. 54
  15. 50
  16. 60
  17. 48
  18. 30
  19. 56
  20. 405
  21. 40
  22. 125
  23. 100
  24. 25
  25. 28
  26. 24
  27. 20
  28. 54
  29. 63
  30. 210
  31. 15
  32. 18
  33. 27
  34. 70
  35. 25
  36. 205
  37. 54
  38. 3
  39. 164
  40. 477

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