← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 953 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  3. 3.Divide ₹590 between Meera and Isha in the ratio 1 : 9. How much does Isha get (in ₹)?
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.Divide ₹611 between Diya and Kavya in the ratio 6 : 7. How much does Kavya get (in ₹)?
  6. 6.9 : 14 = 27 : ?
  7. 7.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  8. 8.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.Divide ₹273 between Isha and Pooja in the ratio 7 : 6. How much does Isha get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  15. 15.Divide ₹216 between Zoya and Ananya in the ratio 7 : 5. How much does Zoya get (in ₹)?
  16. 16.5 : 3 = 35 : ?
  17. 17.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  18. 18.8 : 13 = 16 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  20. 20.Divide ₹176 between Karan and Kabir in the ratio 1 : 3. How much does Karan get (in ₹)?
  21. 21.3 : 10 = 9 : ?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.Divide ₹663 between Farhan and Aditya in the ratio 9 : 8. How much does Aditya get (in ₹)?
  25. 25.Divide ₹407 between Kavya and Karan in the ratio 6 : 5. How much does Karan get (in ₹)?
  26. 26.3 : 11 = 24 : ?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  28. 28.3 : 5 = 9 : ?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.Divide ₹270 between Vivaan and Tara in the ratio 1 : 8. How much does Tara get (in ₹)?
  31. 31.2 : 8 = 8 : ?
  32. 32.Divide ₹462 between Isha and Nisha in the ratio 2 : 9. How much does Nisha get (in ₹)?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  36. 36.11 : 4 = 66 : ?
  37. 37.4 : 11 = 8 : ?
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).

Answer key

  1. 75
  2. 64
  3. 531
  4. 150
  5. 329
  6. 42
  7. 125
  8. 175
  9. 8
  10. 70
  11. 24
  12. 147
  13. 10
  14. 60
  15. 126
  16. 21
  17. 16
  18. 26
  19. 5
  20. 44
  21. 30
  22. 80
  23. 112
  24. 312
  25. 185
  26. 88
  27. 49
  28. 15
  29. 32
  30. 240
  31. 32
  32. 378
  33. 16
  34. 14
  35. 3
  36. 24
  37. 22
  38. 225
  39. 9
  40. 50

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