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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 933 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹430 between Karan and Sneha in the ratio 1 : 9. How much does Sneha get (in ₹)?
  2. 2.Divide ₹324 between Aditya and Rahul in the ratio 1 : 8. How much does Rahul get (in ₹)?
  3. 3.4 : 14 = 28 : ?
  4. 4.3 : 2 = 12 : ?
  5. 5.Divide ₹462 between Kabir and Aarav in the ratio 2 : 9. How much does Kabir get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.Divide ₹451 between Rahul and Nisha in the ratio 2 : 9. How much does Rahul get (in ₹)?
  10. 10.11 : 10 = 88 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  12. 12.10 : 3 = 20 : ?
  13. 13.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  14. 14.Divide ₹120 between Pooja and Priya in the ratio 1 : 9. How much does Priya get (in ₹)?
  15. 15.4 : 7 = 12 : ?
  16. 16.Divide ₹270 between Farhan and Isha in the ratio 2 : 7. How much does Isha get (in ₹)?
  17. 17.4 : 11 = 16 : ?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  20. 20.3 : 2 = 6 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  22. 22.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  24. 24.Divide ₹144 between Pooja and Sneha in the ratio 5 : 3. How much does Pooja get (in ₹)?
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.Divide ₹170 between Vivaan and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  28. 28.Divide ₹636 between Arjun and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  29. 29.2 : 4 = 4 : ?
  30. 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.Divide ₹264 between Diya and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  33. 33.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  34. 34.12 : 2 = 48 : ?
  35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  36. 36.Divide ₹255 between Kabir and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
  37. 37.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  38. 38.Divide ₹288 between Manav and Meera in the ratio 5 : 3. How much does Meera get (in ₹)?
  39. 39.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  40. 40.12 : 11 = 96 : ?

Answer key

  1. 387
  2. 288
  3. 98
  4. 8
  5. 84
  6. 20
  7. 80
  8. 28
  9. 82
  10. 80
  11. 4
  12. 6
  13. 20
  14. 108
  15. 21
  16. 210
  17. 44
  18. 16
  19. 25
  20. 4
  21. 14
  22. 112
  23. 72
  24. 90
  25. 12
  26. 17
  27. 10
  28. 371
  29. 8
  30. 54
  31. 8
  32. 44
  33. 200
  34. 8
  35. 32
  36. 135
  37. 32
  38. 108
  39. 81
  40. 88

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