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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 662 · 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 5 and 20 (that is, 5 : 20 = 20 : ?).
  2. 2.Divide ₹210 between Kavya and Rahul in the ratio 9 : 1. How much does Kavya get (in ₹)?
  3. 3.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  4. 4.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  5. 5.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  6. 6.5 : 10 = 35 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  8. 8.Divide ₹135 between Diya and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  9. 9.Divide ₹322 between Kabir and Meera in the ratio 6 : 1. How much does Kabir get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  11. 11.Divide ₹464 between Vivaan and Dev in the ratio 1 : 7. How much does Vivaan get (in ₹)?
  12. 12.Divide ₹155 between Rahul and Diya in the ratio 2 : 3. How much does Diya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  14. 14.Divide ₹555 between Karan and Tara in the ratio 8 : 7. How much does Karan get (in ₹)?
  15. 15.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  16. 16.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.11 : 8 = 55 : ?
  19. 19.4 : 10 = 28 : ?
  20. 20.Divide ₹140 between Arjun and Rohan in the ratio 4 : 3. How much does Rohan get (in ₹)?
  21. 21.3 : 4 = 15 : ?
  22. 22.Divide ₹154 between Farhan and Aarav in the ratio 6 : 5. How much does Farhan get (in ₹)?
  23. 23.Divide ₹343 between Isha and Tara in the ratio 5 : 2. How much does Isha get (in ₹)?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.8 : 3 = 40 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  27. 27.Divide ₹152 between Diya and Aditya in the ratio 5 : 3. How much does Aditya get (in ₹)?
  28. 28.Divide ₹770 between Arjun and Saanvi in the ratio 9 : 5. How much does Arjun get (in ₹)?
  29. 29.Divide ₹30 between Karan and Dev in the ratio 2 : 3. How much does Dev get (in ₹)?
  30. 30.Divide ₹140 between Zoya and Rahul in the ratio 5 : 9. How much does Rahul get (in ₹)?
  31. 31.9 : 11 = 72 : ?
  32. 32.7 : 14 = 21 : ?
  33. 33.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  34. 34.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  35. 35.Divide ₹108 between Arjun and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  36. 36.Divide ₹132 between Zoya and Vivaan in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  38. 38.5 : 2 = 20 : ?
  39. 39.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?

Answer key

  1. 80
  2. 189
  3. 112
  4. 175
  5. 18
  6. 70
  7. 6
  8. 54
  9. 276
  10. 49
  11. 58
  12. 93
  13. 20
  14. 296
  15. 63
  16. 8
  17. 75
  18. 40
  19. 70
  20. 60
  21. 20
  22. 84
  23. 245
  24. 36
  25. 15
  26. 48
  27. 57
  28. 495
  29. 18
  30. 90
  31. 88
  32. 42
  33. 10
  34. 96
  35. 18
  36. 44
  37. 2
  38. 8
  39. 150
  40. 8

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