Question

a man loses 8% by selling an article for rupees 1449 ,find the cost price and the total loss

Answer 1

loss%$=\frac{loss}{Cost \: price} × 100$

loss%$=\frac{C.P. - S.P.}{C.P.} × 100$

$8 =\frac{C.P. - 1449}{C.P.} × 100$

$\frac{8}{100}=\frac{C.P - 1449}{C.P}$

$\frac{2}{25}= (1 -\frac{1449}{C.P.})$

$\frac{1449}{C.P.}=(1 -\frac{2}{25})$

$\frac{1449}{C.P.}=\frac{23}{25}$

$Cost \: Price = 1449 × \frac{25}{23}$

$Cost \: Price = 63 × 25$

$Cost \: price = 1575 rupees$

$Total \: loss=cost \: price - Selling \: price$

$Total \: loss=1575 - 1449 = 126 rupees$