Question

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket costs the shopkeeper $200, at what price is it sold?

Answer 1

$200 plus 40% = $280

$280 minus 25% = $210

Answer 2

The answer is $210.

Explanation:

In order to determine the final price, we have to know about percentage. When we use percentage, we are multiplying a value by a number:

x=any number in the interval from 0 to 100.

x%=
`(x)/(100)`

In this case, we have to do the process twice, because in the first part, we have to determine the selling price without discount and then we have to determine the selling price with discount.

The cost price is $200 and the shopkeeper wants to sell it 40% above the cost:

$200*40%

`200*(40)/(100) \\80\\200+80=280`

So, the selling price without discount is 280. Then the shopkeeper offers a 25% discount:

$280*25%

`280*(25)/(100)\\70\\280-70=210`

Finally, the sold price of the jacket, including the discount, is $210.