A) 5/12
B) 7/23
C) 1/8
D) 2/3
Correct Answer: D
Solution :
Let the numerator and denominator of a fraction are x and y respectively, By given condition, \[\frac{x-1}{y}=\frac{1}{3}\] \[\Rightarrow \] \[3x-1=y\] \[\Rightarrow \] \[3x-y=3\] ?(i) and \[\frac{x}{y+5}=\frac{1}{4}\] \[\Rightarrow \] \[4x-y=5\] ?(ii) On solving Eqs. (i) and (ii), we get \[x=2\] and \[y=3\] Hence, required fraction\[=\frac{x-1}{y+5}=\frac{2-1}{3+5}=\frac{1}{8}\]You need to login to perform this action.
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