Question

By selling an article for Rs.616, a shopkeeper incurs a loss of 20%. At what price should he sell so as to gain 15%?​

Answer 1

Step-by-step explanation:

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Answer 2

$Let \: Cost \: price \: of \: an \: article = Rs \: x$

$i) selling \:price (sp_{1}) = Rs \: 616$

$Loss (l) = 20\%$

$Cost \:price = \frac{ s.p_{1} \times 100 }{100-l}$

$\implies x = \frac{ 616 \times 100 }{100-20}$

$\implies x = \frac{ 616 \times 100 }{80}$

$\implies x = Rs \: 770$

$Now, ii) Cost \: price (c.p) = Rs \: 770$

$Gain (g) = 15\%$

$Selling \:price = c.p\Big( \frac{100+g}{100}\Big)$

$= 770 \Big( \frac{100+15}{100}\Big)$

$= 770 \Big( \frac{115}{100}\Big)$

$= Rs\:885.50$

Therefore.,

$\red{ Selling \:price \:of \: the \: article \: to }$

$\red{ gain \: 15\% } \green { = Rs\:885.50}$

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