Question

While selling a pen for rupees 24 the loss in percentage is equal to its cost price. Find the cost price of pen. Cost price of pen is less than rupees 50.

Answer 1

According to the question,

The cost price of pen is less then rupees $50$

Let the cost price of pen be rupees $x$

selling price $=24$

Loss in percentage $=\frac{costprice-sellingprice}{costprice}\times 100$

Los sin percentage $=\frac{x-24}{x}\times 100$

Loss in percentage is numerically equal to cost price

$x=\frac{x-24}{x}\times 100$

$x^2-100x+2400=0$

$x=\frac{-(-100)\pm \sqrt{1000-4\times 2400}}{2}$

$=\frac{100\pm 20}{2}$

$x=60$ or $x=40$

As given in question cost value is less then rupees $50$

cost price is $40$