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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 794 · 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 ₹486 between Kabir and Isha in the ratio 7 : 2. How much does Isha get (in ₹)?
  2. 2.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  3. 3.Divide ₹32 between Saanvi and Rahul in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  4. 4.Divide ₹320 between Nisha and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Divide ₹420 between Arjun and Farhan in the ratio 4 : 3. How much does Arjun get (in ₹)?
  7. 7.5 : 2 = 20 : ?
  8. 8.Divide ₹160 between Kabir and Aditya in the ratio 7 : 3. How much does Kabir get (in ₹)?
  9. 9.Divide ₹96 between Rohan and Ananya in the ratio 1 : 3. How much does Rohan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  11. 11.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  12. 12.Divide ₹77 between Isha and Rohan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  14. 14.4 : 15 = 24 : ?
  15. 15.Divide ₹176 between Isha and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  16. 16.11 : 4 = 55 : ?
  17. 17.8 : 9 = 72 : ?
  18. 18.Divide ₹522 between Meera and Zoya in the ratio 8 : 1. How much does Meera get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.3 : 12 = 15 : ?
  22. 22.2 : 13 = 4 : ?
  23. 23.Divide ₹126 between Aarav and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.Divide ₹130 between Vivaan and Aditya in the ratio 3 : 2. How much does Aditya get (in ₹)?
  26. 26.Divide ₹240 between Tara and Zoya in the ratio 7 : 9. How much does Zoya get (in ₹)?
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  29. 29.9 : 7 = 81 : ?
  30. 30.Divide ₹80 between Dev and Ananya in the ratio 1 : 3. How much does Dev get (in ₹)?
  31. 31.Divide ₹312 between Isha and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  35. 35.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  36. 36.8 : 14 = 64 : ?
  37. 37.5 : 3 = 45 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  39. 39.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  40. 40.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?

Answer key

  1. 108
  2. 75
  3. 8
  4. 288
  5. 24
  6. 240
  7. 8
  8. 112
  9. 24
  10. 4
  11. 54
  12. 28
  13. 18
  14. 90
  15. 96
  16. 20
  17. 81
  18. 464
  19. 80
  20. 100
  21. 60
  22. 26
  23. 81
  24. 50
  25. 52
  26. 135
  27. 200
  28. 6
  29. 63
  30. 20
  31. 120
  32. 28
  33. 63
  34. 21
  35. 175
  36. 112
  37. 27
  38. 9
  39. 32
  40. 80

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