Question

on se ling a watch for 987 rupees,shubh loss 6%.for how much did he purches it?​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Cost\:price=1050\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Selling \: price \: of \:watch (s.p) = 987 \: rupees \\ \\ \tt: \implies Loss\% = 6\% \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Cost \: price \: of \: watch =?$

• According to given question :

$\tt \circ \: Let \: C.P \: of \: watch \: be \: x \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Loss = 6\% \: of \: C.P \\ \\ \tt: \implies Loss = \frac{6}{100} \times x \\ \\ \green{\tt: \implies Loss =0.06x} \\ \\ \bold{For \: Cost \: price : } \\ \tt: \implies Selling \: price = Cost \: price - Loss \\ \\ \tt: \implies 987 = x - 0.06x \\ \\ \tt: \implies 987 = 0.94x \\ \\ \tt: \implies x = \frac{987}{0.94} \\ \\ \green{\tt: \implies x = 1050 \: rupees} \\ \\ \green{\tt \therefore Cost \: price \: of \: watch \: is \: 1050 \: rupees}$

Answer 2

Shubh sold the watch for Rs 987.

He lost 6%.

That means if he purchased the watch for Rs 100, he sold it for Rs (100-6) = Rs 94.

Hence, Shubh purchased the watch by

$\frac{987 \times 100}{94}$

= Rs 1050