← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 133 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.4 : 9 = 36 : ?
  3. 3.Divide ₹70 between Farhan and Nisha in the ratio 3 : 4. How much does Farhan get (in ₹)?
  4. 4.Divide ₹330 between Vivaan and Pooja in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.Divide ₹85 between Ishaan and Aditya in the ratio 4 : 1. How much does Aditya get (in ₹)?
  7. 7.7 : 4 = 42 : ?
  8. 8.Divide ₹160 between Ananya and Saanvi in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  10. 10.Divide ₹160 between Kabir and Zoya in the ratio 3 : 7. How much does Kabir get (in ₹)?
  11. 11.3 : 11 = 9 : ?
  12. 12.Divide ₹72 between Rohan and Priya in the ratio 7 : 1. How much does Priya get (in ₹)?
  13. 13.Divide ₹185 between Ananya and Meera in the ratio 3 : 2. How much does Ananya get (in ₹)?
  14. 14.Divide ₹196 between Karan and Kavya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  15. 15.Divide ₹364 between Farhan and Vivaan in the ratio 7 : 6. How much does Farhan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  17. 17.7 : 6 = 63 : ?
  18. 18.11 : 13 = 33 : ?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.6 : 3 = 24 : ?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.Divide ₹296 between Karan and Isha in the ratio 1 : 7. How much does Karan get (in ₹)?
  23. 23.12 : 9 = 96 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.Divide ₹198 between Ishaan and Manav in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  29. 29.12 : 10 = 108 : ?
  30. 30.Divide ₹484 between Meera and Pooja in the ratio 4 : 7. How much does Meera get (in ₹)?
  31. 31.Divide ₹153 between Karan and Kavya in the ratio 8 : 9. How much does Karan get (in ₹)?
  32. 32.10 : 3 = 40 : ?
  33. 33.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  34. 34.Divide ₹391 between Rahul and Farhan in the ratio 8 : 9. How much does Farhan get (in ₹)?
  35. 35.11 : 6 = 33 : ?
  36. 36.Divide ₹588 between Rahul and Karan in the ratio 5 : 7. How much does Rahul get (in ₹)?
  37. 37.3 : 8 = 12 : ?
  38. 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  39. 39.Divide ₹200 between Farhan and Priya in the ratio 1 : 3. How much does Farhan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?

Answer key

  1. 50
  2. 81
  3. 30
  4. 33
  5. 200
  6. 17
  7. 24
  8. 64
  9. 25
  10. 48
  11. 33
  12. 9
  13. 111
  14. 112
  15. 196
  16. 4
  17. 54
  18. 39
  19. 27
  20. 12
  21. 8
  22. 37
  23. 72
  24. 30
  25. 32
  26. 63
  27. 80
  28. 176
  29. 90
  30. 176
  31. 72
  32. 12
  33. 20
  34. 207
  35. 18
  36. 245
  37. 32
  38. 32
  39. 50
  40. 15

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