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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 290 · 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. 1.8 : 4 = 56 : ?
  2. 2.Divide ₹75 between Aditya and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  5. 5.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  6. 6.Divide ₹420 between Diya and Ishaan in the ratio 2 : 5. How much does Ishaan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.Divide ₹477 between Diya and Arjun in the ratio 4 : 5. How much does Diya get (in ₹)?
  11. 11.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  12. 12.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  13. 13.12 : 13 = 24 : ?
  14. 14.5 : 14 = 20 : ?
  15. 15.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.9 : 10 = 45 : ?
  18. 18.Divide ₹714 between Pooja and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
  19. 19.Divide ₹288 between Rahul and Rohan in the ratio 7 : 5. How much does Rahul get (in ₹)?
  20. 20.Divide ₹231 between Sneha and Arjun in the ratio 6 : 5. How much does Arjun get (in ₹)?
  21. 21.Divide ₹540 between Manav and Rohan in the ratio 9 : 1. How much does Rohan get (in ₹)?
  22. 22.10 : 7 = 40 : ?
  23. 23.Divide ₹100 between Farhan and Saanvi in the ratio 1 : 9. How much does Farhan get (in ₹)?
  24. 24.2 : 15 = 10 : ?
  25. 25.7 : 9 = 14 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  28. 28.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.3 : 4 = 24 : ?
  31. 31.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  32. 32.Divide ₹180 between Saanvi and Meera in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  33. 33.11 : 4 = 99 : ?
  34. 34.Divide ₹392 between Saanvi and Nisha in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  35. 35.11 : 2 = 77 : ?
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.6 : 13 = 12 : ?
  38. 38.Divide ₹110 between Karan and Sneha in the ratio 9 : 2. How much does Sneha get (in ₹)?
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.11 : 5 = 55 : ?

Answer key

  1. 28
  2. 15
  3. 30
  4. 35
  5. 125
  6. 300
  7. 6
  8. 28
  9. 18
  10. 212
  11. 20
  12. 75
  13. 26
  14. 56
  15. 36
  16. 8
  17. 50
  18. 378
  19. 168
  20. 105
  21. 54
  22. 28
  23. 10
  24. 75
  25. 18
  26. 12
  27. 175
  28. 24
  29. 48
  30. 32
  31. 150
  32. 108
  33. 36
  34. 56
  35. 14
  36. 128
  37. 26
  38. 20
  39. 112
  40. 25

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