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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 873 · 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 2 : 1. There are 6 boys. How many girls are there?
  2. 2.Divide ₹117 between Aarav and Rohan in the ratio 2 : 7. How much does Aarav get (in ₹)?
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.Divide ₹385 between Zoya and Kabir in the ratio 1 : 6. How much does Zoya get (in ₹)?
  5. 5.Divide ₹24 between Kabir and Farhan in the ratio 2 : 1. How much does Kabir get (in ₹)?
  6. 6.Divide ₹54 between Diya and Rohan in the ratio 5 : 4. How much does Rohan get (in ₹)?
  7. 7.Divide ₹80 between Nisha and Saanvi in the ratio 7 : 3. How much does Nisha get (in ₹)?
  8. 8.8 : 4 = 72 : ?
  9. 9.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  10. 10.Divide ₹330 between Dev and Manav in the ratio 2 : 9. How much does Dev get (in ₹)?
  11. 11.Divide ₹378 between Vivaan and Arjun in the ratio 1 : 8. How much does Arjun get (in ₹)?
  12. 12.3 : 10 = 9 : ?
  13. 13.Divide ₹650 between Zoya and Isha in the ratio 6 : 7. How much does Isha get (in ₹)?
  14. 14.3 : 8 = 27 : ?
  15. 15.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  16. 16.7 : 9 = 63 : ?
  17. 17.9 : 12 = 36 : ?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.Divide ₹104 between Ishaan and Meera in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  20. 20.4 : 8 = 16 : ?
  21. 21.Divide ₹275 between Vivaan and Arjun in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  23. 23.Divide ₹80 between Kavya and Rahul in the ratio 4 : 1. How much does Kavya get (in ₹)?
  24. 24.Divide ₹108 between Ananya and Ishaan in the ratio 3 : 1. How much does Ananya get (in ₹)?
  25. 25.Divide ₹120 between Saanvi and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  27. 27.Divide ₹60 between Aditya and Meera in the ratio 3 : 2. How much does Meera get (in ₹)?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.Divide ₹198 between Ishaan and Rahul in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  31. 31.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  32. 32.11 : 7 = 66 : ?
  33. 33.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  34. 34.9 : 11 = 18 : ?
  35. 35.5 : 2 = 35 : ?
  36. 36.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  37. 37.Divide ₹114 between Kabir and Ananya in the ratio 1 : 2. How much does Kabir get (in ₹)?
  38. 38.Divide ₹561 between Vivaan and Rahul in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  40. 40.Divide ₹54 between Diya and Kabir in the ratio 1 : 8. How much does Diya get (in ₹)?

Answer key

  1. 3
  2. 26
  3. 24
  4. 55
  5. 16
  6. 24
  7. 56
  8. 36
  9. 81
  10. 60
  11. 336
  12. 30
  13. 350
  14. 72
  15. 18
  16. 81
  17. 48
  18. 96
  19. 40
  20. 32
  21. 75
  22. 10
  23. 64
  24. 81
  25. 80
  26. 14
  27. 24
  28. 18
  29. 48
  30. 144
  31. 125
  32. 42
  33. 15
  34. 22
  35. 14
  36. 16
  37. 38
  38. 264
  39. 15
  40. 6

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