A) 8
B) 12
C) 16
D) 24
Correct Answer: A
Solution :
Let the number of persons be x. then. \[\frac{96}{x-4}-\frac{96}{x}=4\] \[\Rightarrow \] \[\frac{1}{x-4}-\frac{1}{x}=\frac{4}{96}\] \[\Rightarrow \] \[\frac{x-(x-4)}{x(x-4)}=\frac{1}{24}\] \[\Rightarrow \] \[{{x}^{2}}-4x-96=0\] \[\Rightarrow \] \[(x-12)(x+8)=0\] \[\Rightarrow \] x = 12 So, required number \[=x-4=8\]You need to login to perform this action.
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