← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 738 · 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.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  5. 5.Divide ₹265 between Pooja and Arjun in the ratio 2 : 3. How much does Pooja get (in ₹)?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  8. 8.4 : 5 = 36 : ?
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  10. 10.Divide ₹261 between Sneha and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
  11. 11.Divide ₹338 between Pooja and Ananya in the ratio 4 : 9. How much does Ananya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  18. 18.6 : 7 = 18 : ?
  19. 19.Divide ₹180 between Rahul and Arjun in the ratio 2 : 7. How much does Arjun get (in ₹)?
  20. 20.Divide ₹55 between Rahul and Tara in the ratio 1 : 4. How much does Rahul get (in ₹)?
  21. 21.4 : 6 = 36 : ?
  22. 22.11 : 13 = 66 : ?
  23. 23.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.12 : 7 = 36 : ?
  26. 26.4 : 9 = 32 : ?
  27. 27.Divide ₹234 between Aditya and Zoya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  28. 28.2 : 9 = 16 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  30. 30.Divide ₹561 between Diya and Manav in the ratio 5 : 6. How much does Diya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  33. 33.Divide ₹935 between Isha and Kabir in the ratio 8 : 9. How much does Kabir get (in ₹)?
  34. 34.12 : 2 = 24 : ?
  35. 35.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  36. 36.4 : 15 = 36 : ?
  37. 37.4 : 9 = 8 : ?
  38. 38.Divide ₹15 between Rahul and Zoya in the ratio 1 : 2. How much does Rahul get (in ₹)?
  39. 39.Divide ₹140 between Priya and Vivaan in the ratio 3 : 4. How much does Vivaan get (in ₹)?
  40. 40.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).

Answer key

  1. 49
  2. 16
  3. 32
  4. 100
  5. 106
  6. 8
  7. 24
  8. 45
  9. 5
  10. 203
  11. 234
  12. 10
  13. 36
  14. 36
  15. 9
  16. 112
  17. 9
  18. 21
  19. 140
  20. 11
  21. 54
  22. 78
  23. 128
  24. 50
  25. 21
  26. 72
  27. 195
  28. 72
  29. 8
  30. 255
  31. 15
  32. 12
  33. 495
  34. 4
  35. 81
  36. 135
  37. 18
  38. 5
  39. 80
  40. 96

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude