Question

A vendor buys lemons at $Rs.25$ per dozen and sells them at the rate of $5$ for $Rs.12$. Find his gain or loss percent.

Answer 1

Cost price ( CP) of $1$ dozen lemons = $Rs.25$

Selling price (SP) of $5$ lemons = $Rs.12$

Selling price (SP) of $1$ lemon = $Rs.\frac{12}{5}=Rs.2.40$

Selling price of $12$ lemons ( $1$ dozen) = $Rs.(12\times 2.40)=Rs.28.80$

Now, we know that, if SP $>$ CP, then its profit.

Profit = SP - CP

Therefore, profit earned by the seller,

$\Rightarrow$ Profit = SP - CP

$=Rs.28.80-Rs.25$

$=Rs.3.80$

Profit percentage $=\frac{(\text{Profit}\times 100)}{CP}$

$=\frac{(3.80\times 100)}{25}$

$=3.80\times 4$

$=15.2\%$

Thus, the vendor earns $15.2\%$ profit.