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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 977 · 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).

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  1. 1.Divide ₹624 between Rahul and Arjun in the ratio 6 : 7. How much does Arjun get (in ₹)?
  2. 2.Divide ₹504 between Isha and Sneha in the ratio 5 : 9. How much does Sneha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  5. 5.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  6. 6.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  7. 7.Divide ₹624 between Dev and Sneha in the ratio 9 : 4. How much does Dev get (in ₹)?
  8. 8.5 : 8 = 20 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  10. 10.9 : 12 = 63 : ?
  11. 11.Divide ₹176 between Diya and Karan in the ratio 4 : 7. How much does Karan get (in ₹)?
  12. 12.6 : 9 = 18 : ?
  13. 13.Divide ₹210 between Kabir and Arjun in the ratio 4 : 1. How much does Kabir get (in ₹)?
  14. 14.11 : 2 = 55 : ?
  15. 15.Divide ₹370 between Karan and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
  16. 16.Divide ₹406 between Nisha and Pooja in the ratio 2 : 5. How much does Nisha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  19. 19.7 : 13 = 21 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.Divide ₹192 between Meera and Dev in the ratio 9 : 7. How much does Dev get (in ₹)?
  24. 24.Divide ₹343 between Manav and Zoya in the ratio 1 : 6. How much does Manav get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  26. 26.Divide ₹55 between Diya and Meera in the ratio 3 : 2. How much does Meera get (in ₹)?
  27. 27.12 : 5 = 96 : ?
  28. 28.Divide ₹513 between Aarav and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.11 : 2 = 33 : ?
  31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  32. 32.12 : 8 = 72 : ?
  33. 33.Divide ₹594 between Vivaan and Aditya in the ratio 7 : 4. How much does Aditya get (in ₹)?
  34. 34.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  35. 35.Divide ₹414 between Kavya and Karan in the ratio 8 : 1. How much does Kavya get (in ₹)?
  36. 36.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  37. 37.6 : 13 = 54 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  40. 40.Divide ₹60 between Ishaan and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?

Answer key

  1. 336
  2. 324
  3. 8
  4. 64
  5. 32
  6. 90
  7. 432
  8. 32
  9. 12
  10. 84
  11. 112
  12. 27
  13. 168
  14. 10
  15. 333
  16. 116
  17. 3
  18. 9
  19. 39
  20. 35
  21. 28
  22. 16
  23. 84
  24. 49
  25. 5
  26. 22
  27. 40
  28. 57
  29. 100
  30. 6
  31. 36
  32. 48
  33. 216
  34. 125
  35. 368
  36. 150
  37. 117
  38. 18
  39. 7
  40. 40

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