Question

.If the cost price of 12 pens is the same as the selling price of 8 pens, then what is the profit or loss per cent in this transaction?​

Answer 1

Answer:

the gain percent is 50%

Step-by-step explanation:

Given that If the cost price of 12 pens is equal to the selling price of 8 pens, to find the gain percentage.

So, let’s assume the cost price of single pen is x, it means that the cost price of 12 pen is 12×x

Similarly assume that the selling price of 8 pens is y, it means that the selling price of 8 pen is 8×y

Now it given they are equal so we can write $12\times x = 8 \times y$

$y= \frac{3}{2} x..(1)$

Now we have a relation between x and y

Now we know that formula for gain percentage is

$\frac{(y-x)}{x} \times 100...(2)$

Putting equation (1) in equation (2)

Our equation will look like

$\frac{(\frac{3}{2}x-x) }{x} \times 100$

$= \frac{0.5x}{x} \times 100$

On further solving we got 50%

Hence gain percentage is 50%,