Question

Every year before the festive season, a brand store increases the price of the product by $42\%$ and then introduce two successive discount of $10\%$ and 11% respectively. What is percentage loss and percentage gain?

Answer 1

Let CP $=100$,
$42\%$ increase $\Rightarrow$ SP $=142$
$10\%$ discount in SP $\Rightarrow \left(\frac{(142\times 10)}{100}\right)=14.2$
So $1^{st}$ SP $=(142-14.2)=127.8$, again $12\%$discount in $1^{st}$ SP $\left(\frac{(127.8\times 11)}{100}\right)=14.058$
$2^{nd}$ SP $=(127.8-14.058)=113.742$,
So finally CP $=100$, SP $=113.742$,

$\therefore$ gain $=113.742-100=13.742\%$.