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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 942 · 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.Divide ₹175 between Dev and Vivaan in the ratio 2 : 3. How much does Dev get (in ₹)?
  2. 2.Divide ₹210 between Vivaan and Saanvi in the ratio 8 : 7. How much does Saanvi get (in ₹)?
  3. 3.4 : 6 = 28 : ?
  4. 4.Divide ₹55 between Arjun and Dev in the ratio 4 : 1. How much does Arjun get (in ₹)?
  5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  6. 6.12 : 15 = 96 : ?
  7. 7.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.Divide ₹600 between Saanvi and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  12. 12.12 : 7 = 72 : ?
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.5 : 13 = 45 : ?
  15. 15.Divide ₹260 between Ananya and Ishaan in the ratio 4 : 1. How much does Ananya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  17. 17.Divide ₹203 between Kabir and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
  18. 18.Divide ₹432 between Sneha and Aarav in the ratio 1 : 8. How much does Sneha get (in ₹)?
  19. 19.Divide ₹133 between Aarav and Sneha in the ratio 6 : 1. How much does Sneha get (in ₹)?
  20. 20.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  21. 21.Divide ₹253 between Arjun and Saanvi in the ratio 2 : 9. How much does Arjun get (in ₹)?
  22. 22.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  23. 23.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  24. 24.10 : 8 = 40 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  26. 26.Divide ₹35 between Farhan and Ishaan in the ratio 4 : 1. How much does Farhan get (in ₹)?
  27. 27.10 : 5 = 30 : ?
  28. 28.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  29. 29.Divide ₹578 between Ishaan and Kavya in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  30. 30.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  31. 31.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  32. 32.Divide ₹198 between Manav and Aarav in the ratio 5 : 1. How much does Manav get (in ₹)?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  36. 36.Divide ₹368 between Diya and Vivaan in the ratio 9 : 7. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹102 between Ishaan and Rohan in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  40. 40.3 : 6 = 9 : ?

Answer key

  1. 70
  2. 98
  3. 42
  4. 44
  5. 27
  6. 120
  7. 18
  8. 32
  9. 180
  10. 24
  11. 35
  12. 42
  13. 36
  14. 117
  15. 208
  16. 18
  17. 29
  18. 48
  19. 19
  20. 75
  21. 46
  22. 81
  23. 56
  24. 32
  25. 14
  26. 28
  27. 15
  28. 16
  29. 272
  30. 96
  31. 9
  32. 165
  33. 50
  34. 3
  35. 32
  36. 161
  37. 68
  38. 49
  39. 12
  40. 18

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