Question

A man sold an article for $x at a loss of 20% on the cost price. What would have bbeen the loss or gain percent if he sold it for 1.5x?

Answer 1

@mathmath333

Answer 2

if he sold it for s.p.=\(80\) at a loss of \(20\%\) then

c.p=\(100\)

if new s.p=\(1.5\times 80=120\)
\(\large\tt \begin{align} \color{black}{ \% change =\dfrac{120-100}{100}\times 100
}\end{align}\)

Answer 3

s.p.>c.p. so he will be in profit

Answer 4

Doing this algebraically
Let y = cost price

profit = sale price - cost price

so for the first sentence we are told that you sell the item at a loss of 20% on the cost price.
This gives us the equation :
profit = .8 * y - y = -.2y

then it asks, what happens if you increase the selling price by 1.5x .
since x = .8y
1.5x = 1.5*.8 y = 1.2y

and 1.2 y - y = .20y. so there is a gain of 20% on the cost price.