Question

A man purchased an article at 3/4 of the list price and sold at half more than the list price. what was his gain percent?

Answer 1

profit percentage is 75

Answer 2

Answer: Gain of 100%

Step-by-step explanation:

Let the listed price MP = x

Man purchased it at the rate = $\dfrac{3}{4} x$

It is now CP for man

Man sold it at the price  SP = $x+ \dfrac{x}{2} = \dfrac{3x}{2}$

Gain SP - CP

$\dfrac{3x}{2} -\dfrac{3x}{4} = \dfrac{6x-3x}{4} =\dfrac{3x}{4}$

Gain percent is given by

$Gain \% = \dfrac{Gain}{CP} \times 100= \dfrac{\dfrac{3x}{4}}{\dfrac{3x}{4}} \times 100\\\\= 1 \times 100= 100\%$

Hence, there is a gain of 100%