Question

if the CP of 6 articles is equal to the SP of 4 articles .find the gain percent

Answer 1

Given: The selling price of$4$ articles is equal to the cost price of$6$ articles.

We have to find the gain percent.

For which we are using the formula of gain percent i.e;

$\text { Gain } \%=\frac{\text { selling price }-\text { cost price }}{\text { cost price }} \times 100$

Let assume the cost price of one article be Rs.$x$

Therefore,

The cost price of the$6$ articles will be$6x$

The cost price of the$4$ articles will be$4x$.

From the given condition;

$\text { Selling price of } 4 \text { articles }=6 \mathrm{x}$

By putting these values in the formula we get,

$=>\text { Gain } \%=\frac{\text { selling price }-\text { cost price }}{\text { cost price }} \times 100\\\\\\=>\text { Gain } \%=\frac{6 \mathrm{x}-4 \mathrm{x}}{4 \mathrm{x}} \times 100\\\\=>\text { Gain } \%=\frac{2 \mathrm{x}}{4 \mathrm{x}} \times 100=50 \%$

$\text { Hence the gain } \% \text { is } 50 \% \text {. }$