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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 415 · 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.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  2. 2.4 : 10 = 32 : ?
  3. 3.Divide ₹203 between Vivaan and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.Divide ₹600 between Rahul and Sneha in the ratio 3 : 7. How much does Sneha get (in ₹)?
  6. 6.Divide ₹960 between Farhan and Diya in the ratio 7 : 9. How much does Farhan get (in ₹)?
  7. 7.Divide ₹259 between Rohan and Meera in the ratio 3 : 4. How much does Rohan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Divide ₹341 between Isha and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  12. 12.Divide ₹560 between Meera and Sneha in the ratio 1 : 9. How much does Meera get (in ₹)?
  13. 13.5 : 3 = 20 : ?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.5 : 8 = 45 : ?
  16. 16.Divide ₹180 between Rohan and Aarav in the ratio 8 : 7. How much does Rohan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  19. 19.10 : 6 = 90 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  22. 22.11 : 5 = 77 : ?
  23. 23.8 : 7 = 32 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  25. 25.Divide ₹572 between Aarav and Priya in the ratio 8 : 3. How much does Priya get (in ₹)?
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  32. 32.2 : 4 = 18 : ?
  33. 33.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  34. 34.Divide ₹539 between Dev and Saanvi in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  35. 35.Divide ₹350 between Kabir and Rahul in the ratio 5 : 2. How much does Kabir get (in ₹)?
  36. 36.Divide ₹253 between Saanvi and Tara in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.Divide ₹126 between Kabir and Manav in the ratio 7 : 2. How much does Kabir get (in ₹)?
  40. 40.2 : 9 = 18 : ?

Answer key

  1. 10
  2. 80
  3. 145
  4. 18
  5. 420
  6. 420
  7. 111
  8. 3
  9. 6
  10. 75
  11. 217
  12. 56
  13. 12
  14. 100
  15. 72
  16. 96
  17. 32
  18. 81
  19. 54
  20. 36
  21. 9
  22. 35
  23. 28
  24. 27
  25. 156
  26. 20
  27. 45
  28. 63
  29. 225
  30. 18
  31. 48
  32. 36
  33. 6
  34. 245
  35. 250
  36. 115
  37. 8
  38. 24
  39. 98
  40. 81

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