Question

By selling 60 pens, a shopkeeper lost the amount equal to the selling price of 20 pens. Then, find his loss percent ​. please answer asap with proper method​

Answer 1

Answer:

His loss percentage = 25%

Given :-

By selling 60 pens, a shopkeeper lost the amount equal to the selling price of 20 pens.

To find :-

Shopkeeper's loss percentage.

Solution :-

We know that a shopkeeper sold 60 pens and the amount he loses = selling price of 20 pens.

We are asked to find the loss percentage.

\sf Let \: us \: assume \begin{cases} \sf SP = 60x \\ \sf Loss = 20x \end{cases}

To find CP, we will use the formula given below :-

\boxed{ \sf { CP = SP + Loss }}

By applying the formula, We get :-

\implies \sf 60x + 20x = 80x

Now, To find loss %, We will use the formula given below :-

\boxed{ \mathfrak{{Loss \% = \dfrac{loss}{CP} \times 100}}}

By applying the formula, We get :-

\implies \sf \dfrac{20 x}{80x} \times 100

By simplifying and cancelling 'x', We get :-

\implies \sf \dfrac{1 }{4} \times 100

\implies \sf 25\%

Therefore, Loss percentage of shopkeeper = 25%.