Question

Juhi sell a washing machine for Rs 13,500 . she loses 20% in the bargain. What was the price at which she bought it ?​

Answer 1

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Answer 2

$\frak{ \pink{Given : }} \begin{cases} \small\sf { \orange{The \: selling \: price \: of \: washing \: machine = Rs. 13500 }} \\ \small \sf{ \orange{Loss \: percent = 20\%}} \end{cases}$

Let the cost price of the washing machine be Rs. x.

$\pink{ \sf{ \underline{As \: we \: know \: that : }}}$

${\underline{ \boxed{ \orange{ \frak{Loss = Loss\% \: of \: C.P.}}}}}$

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${\implies \sf Loss = 20 \% \: of \: Rs. x = \dfrac{ \cancel{20} }{ \cancel{100}}_{ \: \: 5} ^{1} \times x = \dfrac{x}{5}}$

Therefore, S.P. = C.P. - Loss

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${\implies \sf 13500 = x - \dfrac{x}{5} \implies 13500 = \dfrac{4x}{5} }$

${ \implies \sf x = \dfrac{ \cancel{13500} \times 5}{ \cancel4 } = 3375 \times 5 = rs.16857}$

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$\pink{ \sf{Final \: Answer:}}$

The cost price of washing machine is Rs. 16,875.