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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 489 · 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.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  2. 2.Divide ₹238 between Meera and Vivaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.Divide ₹264 between Rahul and Priya in the ratio 4 : 7. How much does Rahul get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  6. 6.Divide ₹133 between Sneha and Vivaan in the ratio 1 : 6. How much does Sneha get (in ₹)?
  7. 7.Divide ₹54 between Manav and Nisha in the ratio 2 : 7. How much does Nisha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.12 : 5 = 24 : ?
  11. 11.4 : 7 = 16 : ?
  12. 12.8 : 14 = 56 : ?
  13. 13.Divide ₹451 between Rohan and Rahul in the ratio 9 : 2. How much does Rahul get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  15. 15.Divide ₹264 between Zoya and Arjun in the ratio 7 : 5. How much does Arjun get (in ₹)?
  16. 16.Divide ₹132 between Kabir and Saanvi in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  17. 17.Divide ₹176 between Meera and Ishaan in the ratio 1 : 3. How much does Meera get (in ₹)?
  18. 18.2 : 3 = 4 : ?
  19. 19.Divide ₹260 between Rohan and Saanvi in the ratio 7 : 6. How much does Rohan get (in ₹)?
  20. 20.2 : 6 = 12 : ?
  21. 21.8 : 15 = 48 : ?
  22. 22.Divide ₹484 between Arjun and Ananya in the ratio 5 : 6. How much does Ananya get (in ₹)?
  23. 23.3 : 2 = 15 : ?
  24. 24.Divide ₹451 between Rahul and Arjun in the ratio 7 : 4. How much does Rahul get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.Divide ₹88 between Rohan and Saanvi in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  27. 27.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  28. 28.10 : 5 = 90 : ?
  29. 29.Divide ₹195 between Farhan and Saanvi in the ratio 8 : 7. How much does Farhan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  31. 31.Divide ₹80 between Kabir and Diya in the ratio 2 : 3. How much does Kabir get (in ₹)?
  32. 32.Divide ₹60 between Nisha and Karan in the ratio 3 : 2. How much does Nisha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  35. 35.11 : 3 = 77 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  38. 38.Divide ₹140 between Vivaan and Meera in the ratio 2 : 5. How much does Meera get (in ₹)?
  39. 39.Divide ₹480 between Pooja and Aditya in the ratio 7 : 8. How much does Aditya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?

Answer key

  1. 8
  2. 102
  3. 36
  4. 96
  5. 56
  6. 19
  7. 42
  8. 35
  9. 64
  10. 10
  11. 28
  12. 98
  13. 82
  14. 81
  15. 110
  16. 22
  17. 44
  18. 6
  19. 140
  20. 36
  21. 90
  22. 264
  23. 10
  24. 287
  25. 18
  26. 48
  27. 100
  28. 45
  29. 104
  30. 54
  31. 32
  32. 36
  33. 12
  34. 14
  35. 21
  36. 40
  37. 24
  38. 100
  39. 256
  40. 25

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