Question

An almirah is sold at $₹5225$after allowing a discount of$5\%$.find its marked price.

Answer 1

Marked price:

Let,the marked price of the almirah $=₹x$

Assume, $x$ as a variable to do the further mathematical calculations.

Given discount is $5\%$

So, the discount amount$=x\times \frac{5}{100}=₹\frac{x}{20}$

The selling price$=x-\frac{x}{20}=₹\frac{19x}{20}$

Now,if we compare the value of selling price that is given in the question and the value of the selling price that we have calculated,then we will get the following mathematical equation,

$₹\frac{19x}{20}=₹5225$

So,

$$\begin{gathered} \frac{19x}{20}=5225 \\ \Rightarrow 19x=5225\times 20 \\ \Rightarrow 19x=104500 \\ \Rightarrow x=\frac{104500}{19} \\ =5500 \end{gathered}$$

Thus, $x=₹5500$

Hence, the marked price of almirah is $\mathbf{₹}\mathbf{}\mathbf{5500}$