Question

Mr Tan bought a laptop at a discount. If he sold the laptop at its usual price, he would gain a $550 profit. If he sold it at 80% of its usual price, he would lose $350 (receive $350 less than the amount he paid). How much did Mr Tan pay for the laptop?

Answer 1

Mr Tan bought laptop for `$3950`

Explanation:

Let's assume , Mr Tan bought laptop for `$x` , then

usual price is `$ (x+550):. 80%` of the usual price

is `$(x+550)*0.8` ,which is `$(x-350)` , therefore,

`(x+550)*0.8=(x-350) or x -0.8 x = 550*0.8 +350` or

`0.2 x = 440+350 or 0.2 x = 790 or x = 790/0.2=$3950`

So, Mr Tan bought laptop for `$3950` [Ans]