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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 608 · 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 3 and 9 (that is, 3 : 9 = 9 : ?).
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Divide ₹495 between Dev and Aditya in the ratio 1 : 8. How much does Aditya get (in ₹)?
  4. 4.Divide ₹148 between Vivaan and Manav in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  5. 5.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  6. 6.Divide ₹189 between Priya and Saanvi in the ratio 6 : 1. How much does Saanvi get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  9. 9.Divide ₹104 between Priya and Kabir in the ratio 4 : 9. How much does Kabir get (in ₹)?
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  12. 12.8 : 14 = 48 : ?
  13. 13.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  14. 14.4 : 13 = 12 : ?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Divide ₹128 between Priya and Ananya in the ratio 3 : 5. How much does Priya get (in ₹)?
  17. 17.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  18. 18.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  19. 19.Divide ₹187 between Dev and Aarav in the ratio 2 : 9. How much does Dev get (in ₹)?
  20. 20.Divide ₹342 between Kavya and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  21. 21.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  23. 23.Divide ₹234 between Manav and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.6 : 15 = 24 : ?
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.12 : 14 = 72 : ?
  28. 28.Divide ₹128 between Kavya and Isha in the ratio 1 : 3. How much does Isha get (in ₹)?
  29. 29.Divide ₹275 between Rohan and Karan in the ratio 1 : 4. How much does Rohan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  31. 31.4 : 10 = 36 : ?
  32. 32.4 : 7 = 8 : ?
  33. 33.Divide ₹510 between Nisha and Ananya in the ratio 7 : 8. How much does Ananya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.8 : 12 = 32 : ?
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.Divide ₹598 between Zoya and Ananya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  39. 39.Divide ₹140 between Rahul and Vivaan in the ratio 1 : 4. How much does Rahul get (in ₹)?
  40. 40.2 : 3 = 12 : ?

Answer key

  1. 27
  2. 20
  3. 440
  4. 111
  5. 80
  6. 27
  7. 20
  8. 8
  9. 72
  10. 24
  11. 54
  12. 84
  13. 100
  14. 39
  15. 64
  16. 48
  17. 144
  18. 36
  19. 34
  20. 304
  21. 200
  22. 28
  23. 72
  24. 150
  25. 60
  26. 16
  27. 84
  28. 96
  29. 55
  30. 45
  31. 90
  32. 14
  33. 272
  34. 3
  35. 12
  36. 48
  37. 32
  38. 184
  39. 28
  40. 18

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