Question

A vendor gets a profit in percentage equal to the cost price of a flowerpot, when he sells it for $Rs.96$. Find the cost of the flowerpot and the percentage of profit.

Answer 1

Let cost price of flower pot $=$Rs. x

Selling price of flower pot$=$Rs. $96$

Profit $\%=\frac{sellingprice-costprice}{costprice}\times 100$

$x=\frac{96-x}{x}\times 100$

$x^2=9600-100x$

$x^2+100x-9600=0$

$x=\frac{-100\pm \sqrt{10000+38400}}{2}$

$x=\frac{-100\pm \sqrt{48,400}}{2}$

$x=\frac{-100\pm 220}{2}$

$x=\frac{-100+220}{2}$;

$x=\frac{-100-220}{2}$

$x=60$

Not possible

$\therefore$ Cost price of flower pot $=$Rs. $60$.