← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 301 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.Divide ₹413 between Aditya and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  3. 3.6 : 10 = 18 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  7. 7.Divide ₹429 between Diya and Zoya in the ratio 6 : 5. How much does Zoya get (in ₹)?
  8. 8.Divide ₹297 between Isha and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.4 : 2 = 28 : ?
  11. 11.Divide ₹310 between Aditya and Rahul in the ratio 3 : 7. How much does Rahul get (in ₹)?
  12. 12.2 : 15 = 8 : ?
  13. 13.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  14. 14.Divide ₹120 between Tara and Diya in the ratio 3 : 2. How much does Tara get (in ₹)?
  15. 15.Divide ₹140 between Sneha and Meera in the ratio 1 : 3. How much does Sneha get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  17. 17.10 : 14 = 80 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  19. 19.8 : 14 = 56 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  21. 21.2 : 4 = 18 : ?
  22. 22.Divide ₹63 between Diya and Arjun in the ratio 3 : 4. How much does Diya get (in ₹)?
  23. 23.3 : 8 = 18 : ?
  24. 24.11 : 14 = 22 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.Divide ₹560 between Ishaan and Aditya in the ratio 1 : 9. How much does Aditya get (in ₹)?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.Divide ₹144 between Ananya and Arjun in the ratio 2 : 7. How much does Arjun get (in ₹)?
  30. 30.Divide ₹414 between Manav and Priya in the ratio 4 : 5. How much does Manav get (in ₹)?
  31. 31.Divide ₹132 between Arjun and Diya in the ratio 1 : 3. How much does Arjun get (in ₹)?
  32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  33. 33.6 : 5 = 12 : ?
  34. 34.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Divide ₹259 between Aditya and Kabir in the ratio 6 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹198 between Diya and Dev in the ratio 3 : 8. How much does Diya get (in ₹)?
  38. 38.Divide ₹637 between Sneha and Ananya in the ratio 8 : 5. How much does Sneha get (in ₹)?
  39. 39.5 : 2 = 10 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?

Answer key

  1. 45
  2. 295
  3. 30
  4. 12
  5. 36
  6. 8
  7. 195
  8. 108
  9. 18
  10. 14
  11. 217
  12. 60
  13. 5
  14. 72
  15. 35
  16. 27
  17. 112
  18. 10
  19. 98
  20. 72
  21. 36
  22. 27
  23. 48
  24. 28
  25. 24
  26. 80
  27. 504
  28. 32
  29. 112
  30. 184
  31. 33
  32. 20
  33. 10
  34. 56
  35. 36
  36. 37
  37. 54
  38. 392
  39. 4
  40. 8

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