Question

If the numerator of a fraction is increased by 25% and the denominator is doubled the resultant fraction thus obtained is $\frac{15}{32}$ What is the original fraction? (Andhra bank SO)

• A. $\frac{3}{4}$
• B. $\frac{4}{5}$
• C. $\frac{5}{8}$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $\frac{3}{4}$

Let the actual fraction be = $\frac{n}{m}$
Then, $\frac{1.25n}{2m}$= $\frac{5n}{8m}$=$\frac{15}{32}$
$\Rightarrow$ $\frac{n}{m}$ = $\frac{15\times 8}{32\times 5}$ = $\frac{3}{4}$