Question:

There are a total of 43800 students in 4 schools of a city. Half the number of students of the first school, two-thirds of the second, three-fourth of the third and four-fifths of the fourth are all equal. What is the ratio of the number of students of A to D, if A, B, C and D be the first, second, third and fourth schools,respectively?

Updated On: Sep 26, 2024
  • 8 : 5
  • 1 : 3
  • 2 : 3
  • 7 : 9
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The Correct Option is A

Solution and Explanation

Given,

Total number of students in 4 schools of a city = 43,800 and

\(\frac{1}{2}(A)=\frac{2}{3}(B)=\frac{3}{4}(c)=\frac{4}{5}(c)\)

\(A:B=4:3\) and

\(B:D=6:5\)

Now, \(A:B:D=8:6:5\)

\(A:D=8:5\)

Hence, option A is the correct answer.The correct option is (A): 8 : 5
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