Question

plz help its urgent..Solve in steps...

Answer 1

let the number be some x
given it is increased by 25%
$x + x \times \frac{25}{100} \\ x + \frac{x}{4} \\5 \times \frac{x}{4}$
now this is decreased by 25%
$5 \times \frac{x}{4} - 5 \times \frac{x}{4} \times ( \frac{25}{100} ) \\ 5 \times \frac{x}{4} - 5 \times \frac{x}{4} \times \frac{1}{4} \\ 20 \times \frac{x}{16} - 5 \times \frac{x}{16} \\ 15 \times \frac{x}{16 }$
15x/16 is our result now net diff would be
$15 \times \frac{x}{16} - x \\ 15 \times \frac{x}{16} - 16 \times \frac{x}{16} \\ - \frac{x}{16}$
- sign indicates it's decreased overall
percentage would be
$\frac{( \frac{x}{16} )}{x} \times 100 \\ \frac{x}{16x} \times 100 \\ \frac{1}{16} \times 100 \\ 6.25\%$
it's decreased by 6.25%