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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 618 · 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. 1.9 : 8 = 27 : ?
  2. 2.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  3. 3.9 : 15 = 18 : ?
  4. 4.Divide ₹352 between Saanvi and Sneha in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  5. 5.Divide ₹410 between Rahul and Diya in the ratio 9 : 1. How much does Rahul get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  7. 7.9 : 7 = 18 : ?
  8. 8.Divide ₹176 between Sneha and Meera in the ratio 3 : 1. How much does Sneha get (in ₹)?
  9. 9.8 : 12 = 72 : ?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.4 : 3 = 16 : ?
  12. 12.10 : 5 = 70 : ?
  13. 13.2 : 15 = 10 : ?
  14. 14.Divide ₹270 between Pooja and Kabir in the ratio 3 : 2. How much does Pooja get (in ₹)?
  15. 15.Divide ₹336 between Farhan and Isha in the ratio 9 : 7. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  17. 17.Divide ₹473 between Karan and Farhan in the ratio 3 : 8. How much does Karan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  19. 19.3 : 8 = 24 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  21. 21.Divide ₹476 between Zoya and Aarav in the ratio 8 : 9. How much does Aarav get (in ₹)?
  22. 22.2 : 6 = 16 : ?
  23. 23.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  25. 25.Divide ₹91 between Nisha and Isha in the ratio 2 : 5. How much does Isha get (in ₹)?
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  28. 28.Divide ₹112 between Rohan and Kavya in the ratio 9 : 7. How much does Rohan get (in ₹)?
  29. 29.3 : 4 = 9 : ?
  30. 30.Divide ₹216 between Rohan and Aditya in the ratio 4 : 5. How much does Rohan get (in ₹)?
  31. 31.10 : 4 = 30 : ?
  32. 32.6 : 2 = 42 : ?
  33. 33.5 : 6 = 15 : ?
  34. 34.Divide ₹280 between Pooja and Kabir in the ratio 6 : 1. How much does Pooja get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  36. 36.Divide ₹341 between Priya and Sneha in the ratio 5 : 6. How much does Priya get (in ₹)?
  37. 37.9 : 3 = 45 : ?
  38. 38.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  39. 39.Divide ₹50 between Ananya and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?

Answer key

  1. 24
  2. 75
  3. 30
  4. 64
  5. 369
  6. 4
  7. 14
  8. 132
  9. 108
  10. 128
  11. 12
  12. 35
  13. 75
  14. 162
  15. 189
  16. 175
  17. 129
  18. 63
  19. 64
  20. 24
  21. 252
  22. 48
  23. 27
  24. 21
  25. 65
  26. 28
  27. 81
  28. 63
  29. 12
  30. 96
  31. 12
  32. 14
  33. 18
  34. 240
  35. 14
  36. 155
  37. 15
  38. 48
  39. 30
  40. 12

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