Question

If the numerator of a fraction is increased by 25% and the denominator decreased by 20%, the new value is $\frac{5}{4}$ What was the original fraction?

• A. $\frac{3}{5}$
• B. $\frac{4}{5}$
• C. $\frac{7}{8}$
• D. $\frac{3}{7}$

Answer 1

The correct option is B $\frac{4}{5}$

Let the initial value of fraction be x
Then new value of fraction is $\frac{5}{4}$
$\therefore \frac{5}{4}=x\times \frac{1.25}{.8}$
$\frac{5}{4}=x\times \frac{25}{16}$
$x=\frac{5}{4}\times \frac{16}{25}$
$x=\frac{4}{5}$