The cost of 16 pens is equal to the selling price of 12 pens. Find the gain or loss percent.

Given :

The cost price of 16 pens $=$ Seling price of 12 pens.

To do :

We have to find the gain or loss percent.

Solution :

Let the cost price of a pen $= ₹1$.

The cost price of 16 pens $= 1 \times 16 = ₹16$

So, the cost price of 12 pens $= 1 \times 12 = ₹12$

It is given that, selling price of 12 pens $=$ cost price of 16 pens.

Therefore, the selling price of 12 pens $= ₹16$

Profit $=$ Selling price of 12 pens $-$ Cost price of 12 pens

         $= 16-12 = ₹4$

Profit % $= \frac{Profit}{Cost price of 12 pens} \times 100$

                 $= \frac{4}{12} \times 100$

                $=\frac{1}{3} \times 100 = 33 \frac{1}{3}$%.

Therefore, the profit % is $33 \frac{1}{3}$%.