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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 775 · 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 ₹611 between Kabir and Aditya in the ratio 5 : 8. How much does Aditya get (in ₹)?
  2. 2.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  6. 6.11 : 15 = 99 : ?
  7. 7.Divide ₹156 between Nisha and Ananya in the ratio 1 : 5. How much does Nisha get (in ₹)?
  8. 8.Divide ₹280 between Aarav and Ananya in the ratio 7 : 3. How much does Aarav get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  10. 10.8 : 13 = 24 : ?
  11. 11.7 : 3 = 35 : ?
  12. 12.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  14. 14.Divide ₹440 between Arjun and Zoya in the ratio 4 : 7. How much does Arjun get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  17. 17.5 : 15 = 25 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.Divide ₹196 between Kabir and Dev in the ratio 5 : 2. How much does Kabir get (in ₹)?
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.5 : 10 = 15 : ?
  23. 23.Divide ₹91 between Tara and Zoya in the ratio 4 : 3. How much does Zoya get (in ₹)?
  24. 24.Divide ₹45 between Vivaan and Aarav in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  25. 25.Divide ₹50 between Pooja and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  26. 26.Divide ₹143 between Diya and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  27. 27.Divide ₹154 between Arjun and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  31. 31.10 : 5 = 70 : ?
  32. 32.Divide ₹261 between Pooja and Rohan in the ratio 8 : 1. How much does Pooja get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  34. 34.Divide ₹110 between Aditya and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  35. 35.11 : 2 = 22 : ?
  36. 36.Divide ₹48 between Diya and Kabir in the ratio 5 : 1. How much does Diya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  39. 39.4 : 3 = 8 : ?
  40. 40.8 : 14 = 40 : ?

Answer key

  1. 376
  2. 63
  3. 75
  4. 18
  5. 45
  6. 135
  7. 26
  8. 196
  9. 36
  10. 39
  11. 15
  12. 90
  13. 63
  14. 160
  15. 32
  16. 12
  17. 75
  18. 24
  19. 18
  20. 140
  21. 8
  22. 30
  23. 39
  24. 36
  25. 45
  26. 66
  27. 99
  28. 125
  29. 56
  30. 7
  31. 35
  32. 232
  33. 28
  34. 44
  35. 4
  36. 40
  37. 40
  38. 18
  39. 6
  40. 70

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