Question

The marked prices of an articles is $Rs.500$. The shopkeeper gives a discount of $5\%$ and still $m$ makes a profit of $25\%$. Find the cost prices of the article.

Answer 1

We have,

The marked price of an article $=500rs$

Discount $=5$

Profit $=25$

Let the cost price of an article $=xrs$

Then,

We know that,

$Discountprice=Markedprice-\frac{discount}{100}\times Markedprice$

$=500-\frac{5}{100}\times 500$

$=500-25$

$=475$

Now,

$Discount=\mathrm{cost}price+\frac{profit}{\mathrm{cost}price\times 100}$

$475=x+\frac{25}{100x}$

$475=x+\frac{1}{4x}$

$\frac{5}{4}x=475$

$x=475\times \frac{4}{5}$

$x=380rs$

Hence, this is the answer.