Question

If the $C.P.$ of $6$ articles is equal to the $S.P.$ of $4$ articles.Find the gain percent.

Answer 1

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

Therefore,

Cost price of $6$ article $=6x$

Cost price of $4$ articles $=4x$

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

$\therefore$ Selling price of $4$ articles $=6x$

Now, as we know that,

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

$\therefore \text{Gain}\%=\frac{6x-4x}{4x}\times 100$

$\Rightarrow \text{Gain}\%=\frac{2x}{4x}\times 100=50\%$

Hence the gain $\%$ is $50\%$.