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# The selling price of 12 eggs is equal to the cost price of 15 eggs. Find the gain per cent.

__Given__:

Selling price of 12 eggs is equal to the cost price of 15 eggs.

__To do__:

Here, we have to find the gain percentage.

__Solution__:

Let the cost price of 15 eggs be $a$.

So,

Selling price of 12 eggs $=a$

Selling price of 1 egg $=\frac{a}{12}$

Selling price of 15 eggs $=\frac{15a}{12}$

Now,

Profit $=$ SP of 15 eggs $-$ CP of 15 eggs

Profit$=\frac{15a}{12}-a$

Profit$=\frac{15a-12a}{12}$

Profit$=\frac{3a}{12}$

Profit$=\frac{a}{4}$

Therefore, profit % is as below,

Profit %$=\frac{Profit}{CP}\times100\%$

Profit%$=\frac{\frac{a}{4}}{a}\times100\%$

Profit%$=\frac{1}{4}\times100\%$

$\mathbf{Profit\ \%\ =\ 25\ \%}$

So, the answer is 25%.

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