Question

If a large number of pens are bought at the rate of m pens for n rupees each and sold at the rate of n pens for m rupees each, what is the pencentage of profit indiabix

Answer 1

n^2*m^2 is equal to 1

Answer 2

Answer:

$\frac{m^2-n^2}{n^2}\times 100$

Step-by-step explanation:

Since, The cost price of m pens = n rupees,

⇒ The cost price of 1 pen = n/m rupees,

The selling price of n pens = m rupees,

⇒ The selling price of 1 pen = m/n rupees,

Thus, the profit in one pen = Selling price of one pen - cost price of one pen

$=\frac{m}{n}-\frac{n}{m}$

$=\frac{m^2-n^2}{mn}$

Now, the profit percentage in one pen = profit / cost price × 100,

$=\frac{\frac{m^2-n^2}{mn}}{\frac{n}{m}}\times 100$

$=\frac{m^3-mn^2}{mn^2}$

$=\frac{m^2-n^2}{n^2}\times 100$