← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 822 · 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.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  2. 2.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.7 : 12 = 42 : ?
  5. 5.Divide ₹128 between Diya and Kavya in the ratio 3 : 5. How much does Diya get (in ₹)?
  6. 6.12 : 6 = 48 : ?
  7. 7.5 : 9 = 15 : ?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.6 : 11 = 24 : ?
  10. 10.Divide ₹336 between Dev and Aarav in the ratio 5 : 9. How much does Dev get (in ₹)?
  11. 11.Divide ₹110 between Saanvi and Tara in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  12. 12.5 : 6 = 10 : ?
  13. 13.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  14. 14.Divide ₹198 between Rahul and Isha in the ratio 2 : 9. How much does Rahul get (in ₹)?
  15. 15.Divide ₹344 between Ishaan and Rahul in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  16. 16.7 : 14 = 35 : ?
  17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  18. 18.Divide ₹741 between Rahul and Isha in the ratio 6 : 7. How much does Isha get (in ₹)?
  19. 19.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.8 : 15 = 64 : ?
  22. 22.Divide ₹80 between Zoya and Tara in the ratio 4 : 1. How much does Zoya get (in ₹)?
  23. 23.Divide ₹370 between Sneha and Dev in the ratio 9 : 1. How much does Sneha get (in ₹)?
  24. 24.Divide ₹330 between Pooja and Arjun in the ratio 1 : 9. How much does Arjun get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.Divide ₹120 between Tara and Arjun in the ratio 2 : 1. How much does Tara get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  32. 32.Divide ₹649 between Karan and Zoya in the ratio 3 : 8. How much does Karan get (in ₹)?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.Divide ₹312 between Ananya and Vivaan in the ratio 8 : 5. How much does Ananya get (in ₹)?
  35. 35.12 : 2 = 36 : ?
  36. 36.6 : 5 = 42 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  38. 38.7 : 15 = 14 : ?
  39. 39.Divide ₹99 between Vivaan and Dev in the ratio 8 : 1. How much does Dev get (in ₹)?
  40. 40.Divide ₹462 between Pooja and Isha in the ratio 9 : 2. How much does Isha get (in ₹)?

Answer key

  1. 24
  2. 36
  3. 18
  4. 72
  5. 48
  6. 24
  7. 27
  8. 54
  9. 44
  10. 120
  11. 22
  12. 12
  13. 48
  14. 36
  15. 301
  16. 70
  17. 150
  18. 399
  19. 75
  20. 45
  21. 120
  22. 64
  23. 333
  24. 297
  25. 45
  26. 49
  27. 5
  28. 32
  29. 80
  30. 42
  31. 10
  32. 177
  33. 28
  34. 192
  35. 6
  36. 35
  37. 32
  38. 30
  39. 11
  40. 84

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