A mobile phone was marked at above the cost price and a discount of was given at the marked price. The profit percent or loss percent made by the shopkeeper is ____%.

Question

A mobile phone was marked at  above the cost price and a discount of  was given at the marked price. The profit percent or loss percent made by the shopkeeper is ____%.

Accepted Answer

Concept- The profit percent or loss percent made by the shopkeeper is 8.
We'll presume the cell phone is cost-effective. We'll figure out the marked price, which is set at a 35 percent premium to the cost price. The selling price will then be determined using the provided discount percentage. We will determine the shopkeeper's percentage profit if the cost price is less than the selling price. Additionally, we will calculate the loss in percentage if the cost price is higher than the selling price.
Let the cost price (CP) of the mobile phone be

Rs. The mobile phone was marked at

above the cost price. So the marked price (MP) of the mobile phone can be calculated as follows,

Substituting

, we get

So the marked price is

. Now, we will calculate the selling price (SP) of the mobile phone. A discount of

was given on the marked price while selling it. So the selling price will be calculated as
follows,

Substituting the value of

in the above equation, we get

Simplifying this equation, we get

We can write

. As we can see, the selling price is greater than the cost price of the mobile phone. So now, we will calculate the profit of the shopkeeper in percent. Let

be the profit.
We know that

. Substituting the values of

and

in this equation, we get

So, the profit of the shopkeeper is

of the cost price.
Hence, the correct answer is 8%.