Question

What price should a shopkeeper mark on an article that costs him $Rs.600$ to gain $20\%$, after allowing a discount of $10\%$?

Answer 1

The cost price of the article $=Rs.600$
Gain $\%=20\%$ of CP
$\therefore Gain=\frac{20\times 600}{100}=Rs.120$
$\because SP=Gain+CP=Rs.600+Rs.120=Rs.720$
Let marked price be $Rs.x$.
Since, he allow a discount of $10\%$.
According to the question,
$x-10\%\text{o}fx=Rs.720$
$\Rightarrow x-\frac{10\times x}{100}=720$
$\Rightarrow \frac{100x-10x}{100}=720$
$\Rightarrow \frac{90x}{100}=720$
$\Rightarrow x=\frac{720\times 100}{90}$
$\Rightarrow x=Rs.800$
Hence, required marked price is $Rs.800$.