Question

Anya sold an article at a discount of 25%, thereby earning a profit of 20% on the article. If the difference between the discount given and the profit earned is Rs.15, what was the MRP of the article

Answer 1

The MRP of the article is 120 Rs.

Step-by-step explanation:

As given in the question

discount at article = 25%

Profit = 20%

The difference between discount and profit = 15 Rs.

We have to find the MRP of the article.

Let the MRP of the article is x.

According to the question

Discount = 25% of MRP

               = $x\times\frac{25}{100}$

               = $\frac{x}{4}$

We know that,

Selling Price = MRP - Discount

                     = $x\ -\frac{x}{4}$

                     = $\frac{4x\ -\ x}{4}$

                     = $\frac{3x}{4}$

Cost Price = $Selling\ price\times(\frac{100}{100\ +\ gain\%})$

                 = $\frac{3x}{4}\times\frac{100}{120}$

                 = $\frac{5x}{8}$

Profit = S.P - C.P

         = $\frac{3x}{4}\ -\frac{5x}{8}$

        = $\frac{6x\ -\ 5x}{8}$

        = $\frac{x}{8}$

Given discount - Earned profit = 15

$\frac{x}{4}\ - \frac{x}{8} = 15$

$\frac{2x\ -\ x}{8} = 15$

x = 15 x 8

x = 120 Rs.

Thus, the MRP of the article will be 120 Rs.