Question

By selling an article for $Rs368$, a man loses $8\%$. At what price should it be sold to gain $10\%$ ?

Answer 1

Solution:-

Selling price of article $=Rs.368$

Let the cost price of article be $Rs.x$.

Now, according to the question,

$x-8\%$ of $x=368$

$x-\frac{8}{100}\times x=368$

$x-\frac{2x}{25}=368$

$\frac{25x-2x}{25}=368$

$\frac{23x}{25}=368$

$x=\frac{368\times 25}{23}=400$

Therefore the cost price of article is $Rs.400$.

Let the new selling price of article to gain $10\%$ be $Rs.y$.

Now to gain $10\%$,

$y=400+10\%$ of $400$

$\Rightarrow y=400+\frac{10}{100}400$

$\Rightarrow y=400+40=440$

Hence to gain $10\%$, the article mut be sold for $Rs.440$.