A) 5/12
B) 7/23
C) 1/8
D) 2/3
Correct Answer: C
Solution :
Let the numerator and denominator of a fraction are x and y, respectively. |
By given condition,\[\frac{x-1}{y}=\frac{1}{3}\] |
\[\Rightarrow \] \[3x-3=y\] |
\[\Rightarrow \] \[3x-y=3\] ?(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\[=\frac{x-1}{y+5}=\frac{2-1}{3+5}=\frac{1}{8}\] |
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