← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 169 · 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 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.Divide ₹741 between Isha and Manav in the ratio 5 : 8. How much does Manav get (in ₹)?
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.Divide ₹143 between Saanvi and Sneha in the ratio 4 : 9. How much does Saanvi get (in ₹)?
  6. 6.Divide ₹560 between Arjun and Vivaan in the ratio 7 : 3. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  8. 8.4 : 11 = 32 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  10. 10.Divide ₹1003 between Kabir and Isha in the ratio 8 : 9. How much does Isha get (in ₹)?
  11. 11.4 : 13 = 36 : ?
  12. 12.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
  13. 13.Divide ₹240 between Nisha and Kavya in the ratio 5 : 7. How much does Kavya get (in ₹)?
  14. 14.2 : 5 = 18 : ?
  15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  19. 19.11 : 5 = 33 : ?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  22. 22.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  28. 28.5 : 4 = 10 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  30. 30.3 : 4 = 9 : ?
  31. 31.4 : 15 = 16 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  33. 33.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  34. 34.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  35. 35.10 : 5 = 60 : ?
  36. 36.3 : 2 = 27 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  39. 39.Divide ₹152 between Ananya and Diya in the ratio 3 : 1. How much does Diya get (in ₹)?
  40. 40.4 : 8 = 8 : ?

Answer key

  1. 32
  2. 456
  3. 125
  4. 28
  5. 44
  6. 392
  7. 36
  8. 88
  9. 45
  10. 531
  11. 117
  12. 81
  13. 140
  14. 45
  15. 100
  16. 42
  17. 12
  18. 18
  19. 15
  20. 48
  21. 36
  22. 2
  23. 4
  24. 8
  25. 32
  26. 25
  27. 63
  28. 8
  29. 64
  30. 12
  31. 60
  32. 6
  33. 8
  34. 20
  35. 30
  36. 18
  37. 49
  38. 18
  39. 38
  40. 16

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