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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 943 · 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. 1.4 : 5 = 28 : ?
  2. 2.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.Divide ₹299 between Saanvi and Kavya in the ratio 8 : 5. How much does Kavya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  13. 13.9 : 12 = 72 : ?
  14. 14.6 : 11 = 48 : ?
  15. 15.Divide ₹96 between Isha and Manav in the ratio 1 : 5. How much does Isha get (in ₹)?
  16. 16.8 : 6 = 40 : ?
  17. 17.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.Divide ₹119 between Kavya and Meera in the ratio 5 : 2. How much does Kavya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  22. 22.8 : 13 = 32 : ?
  23. 23.6 : 5 = 30 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  25. 25.3 : 4 = 12 : ?
  26. 26.Divide ₹799 between Karan and Rohan in the ratio 8 : 9. How much does Rohan get (in ₹)?
  27. 27.Divide ₹154 between Rohan and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  28. 28.5 : 12 = 15 : ?
  29. 29.Divide ₹432 between Priya and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.Divide ₹136 between Sneha and Dev in the ratio 9 : 8. How much does Dev get (in ₹)?
  33. 33.Divide ₹168 between Rahul and Aditya in the ratio 2 : 5. How much does Aditya get (in ₹)?
  34. 34.Divide ₹440 between Kavya and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  35. 35.10 : 11 = 90 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  37. 37.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  38. 38.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  39. 39.Divide ₹135 between Aditya and Diya in the ratio 8 : 1. How much does Aditya get (in ₹)?
  40. 40.2 : 12 = 10 : ?

Answer key

  1. 35
  2. 80
  3. 75
  4. 150
  5. 14
  6. 32
  7. 6
  8. 54
  9. 36
  10. 50
  11. 115
  12. 40
  13. 96
  14. 88
  15. 16
  16. 30
  17. 45
  18. 144
  19. 85
  20. 45
  21. 14
  22. 52
  23. 25
  24. 49
  25. 16
  26. 423
  27. 112
  28. 36
  29. 48
  30. 63
  31. 32
  32. 64
  33. 120
  34. 275
  35. 99
  36. 15
  37. 175
  38. 27
  39. 120
  40. 60

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