Question

The ratio of cost price and marked price of an article is $2:3$ and ratio of percentage profit and percentage discount is $3:2$.what is the discount percentage?

Answer 1

CP:MP = 2x:3x

$\Rightarrow$ profit = MP- CP = 3x-2x=x

Profit % : discount % = 3:2

Let CP= 200, SP = 300

But $\frac{3x}{100}\times 200+\frac{2x}{100}\times 300=6x+6x=12x$

$\Rightarrow 12x=100$

$\Rightarrow x=8.33$%

$\therefore$ Discount = 2x= 16.66%