Question

A dealer is selling an article at a discount of $15\%$. Find:

(i) The selling price if the marked price is $Rs.500$;

(ii) the cost price if he makes $25\%$ profit.

Answer 1

$\text{Discount}=15\%$ of $\text{M.P}$

(i)

$\text{M.P}=Rs.500$

$\text{Discount}=15\%$ of $\text{M.P}$

$\Rightarrow \text{Discount}=15\%$ of $Rs.500$

$\Rightarrow \text{Discount}=\frac{15}{100}\times Rs.500$

$\Rightarrow \text{Discount}=Rs.75$

Now, Selling price, $\left(\text{S.P}\right)=\text{M.P}-\text{Discount}$

$\Rightarrow \text{S.P}=Rs.500-Rs.75=Rs.425$

(ii)

Profit $=25\%$

From (i), $\text{S.P}=Rs.425$

Let, $\text{C.P}=x$

$\text{Profit percentage}=\frac{\text{S.P-C.P}}{\text{C.P}}\times 100$

$\Rightarrow 25=\frac{425-x}{x}\times 100$

$\Rightarrow 25x=(425-x)\times 100$

$\Rightarrow 25x=42500-100x$

$\Rightarrow 25x+100x=42500$

$\Rightarrow 125x=42500$

$\Rightarrow x=\frac{42500}{125}$

$\Rightarrow x=340$

Therefore, The $\text{C.P}=Rs.340$