Question

A plot is sold for rs 18,700 with a loss of 15% . At what price it should be sold to get profit of 15%

Answer 1

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

$\green{\tt{\therefore{New\:Selling\:price=25,300\:rupees}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Selling \: price = 18700 \\ \\ \tt: \implies Loss\% = 15\% \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Selling \: price \: when \: profit \: is \: 15\% = ?$

• According to given question :

$\circ \: \text{Let \: cost \: price \: be \: x} \\ \\ \bold{as \: we \: know \: that} \\ \tt: \implies Selling \: price = Cost \: price - loss\% \: of \: Cost \: price \\ \\ \tt: \implies 18700 = x - 15\% \: of \: x \\ \\ \tt: \implies 18700 = x - 0.15x \\ \\ \tt: \implies 18700 = 0.85x \\ \\ \tt: \implies x = \frac{18700}{0.85} \\ \\ \green{\tt: \implies x = 22,000\:rupees} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies New \: selling \: price = Cost \: price + profit\% \: of \: cost \: price \\ \\ \tt: \implies New \: selling \: price =22000+ 15\% \: of \: 22000 \\ \\ \tt: \implies New \: selling \: price =22000 + \frac{15}{100} \times 22000 \\ \\ \tt: \implies New \: selling \: price =22000 + 15 \times 220 \\ \\ \tt: \implies New \: selling \: price =22000 + 3300 \\ \\ \green{\tt: \implies New \: selling \: price = 25,300 \: rupees}$

Answer 2

$</p><p>\tt{\huge{\pink{Hello!!! }}}$

$</p><p>\tt{\red{Given \: - }}$

$</p><p>\tt{\blue{SP_{2} = Rs. \: 18700 }}$

$</p><p>\tt{\purple{Loss \: \% = 15\% }}$

$\tt{ \red{ let \: the \: cp \: be \: rs. \: x. \: }}$

$\tt{ \pink{ \implies{85\% \: of \: x = 18700}}}$

$\tt{ \blue{ \implies{C.P. = 22000}}}$

$</p><p>\tt{\purple{Now \: Gain \: \% = 15\% }}$

$\tt{ \red{ \: SP_{2} = \dfrac{115}{100} \times \: 22000 = 25300 \: }}$

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$</p><p>\tt{\green{Additional \: Formulas \: - }}$

In Attachment Above....