Question

The price of a sweater is increased by $8\%$. If its increased price is $Rs.1566$, find the original price.

Answer 1

Let us assume that the original price of the sweater is $Rs.x$
Increased percentage $=8\%$
So, value of increase on the sweater $=8\%$ of $Rs.x$
$=Rs.\frac{8}{100}\times x=Rs.\frac{2x}{25}$
Increased price of the sweater $=Rs.(x+\frac{2x}{25})$
$=Rs.\left(\frac{25x+2x}{25}\right)=Rs.\frac{27x}{25}$
However, increased price of the sweater $=Rs.1566$
Then, $Rs.\frac{27x}{25}=Rs.1566$
$\therefore x=\frac{1566\times 25}{27}=1450$

Hence, the original price of the sweater is $Rs.1450$.