Question

Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the painting?

please tell ans step by step..
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Answer 1

$4800

Explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=
`(10)/(100)* x=(10x)/(100)`

If S.P increase by 240 then

Profit=15% of x=
`(15x)/(100)`

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=
`(100x+10x)/(100)=(110)/(100)x`

For second case

New S.P
`=x+(15)/(100)x`

=
`(115)/(100)x`

According to question

`240+S.P=(115)/(100)x`

`240+(110x)/(100)=(115)/(100)x`

`240=(115)/(100)x-(110x)/(100)`

`240=(115x-110x)/(100)`

`240=(5)/(100)x`

`x=(240* 100)/(5)`

`x=4800`

Hence, the C.P of the painting=$4800