How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 10%
Question:
How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 10% on the marked price, he gains 8%?
Solution:
Let $R s 100$ be the cost price.
Gain required = $8 \%$
Therefore, the selling price is $R s 108$.
Let $R s x$ be the marked price.
Then, discount $=10 \%$ of $x$
Selling Price = MP − discount
$\Rightarrow 117=x-\frac{x}{10}$
$\Rightarrow 117=\frac{9 x}{10}$
$\Rightarrow 9 x=1080$
$\Rightarrow x=\frac{1080}{9}$
$\Rightarrow x=120$
$\therefore$ Marked price $=R s 120$
Hence, the marked price is $20 \%$ above the cost price.