Question

by selling an article for Rs. 250, a man gains 20%. find his percentage profit, if he sold it for Rs 275

Answer 1

hope it is helpful ..................

Answer 2

Answer:

$\red { Profit \: percentage }\green {= 32\% }$

Step-by-step explanation:

$i) Let \: cost \: price \: of \: an \: article = Rs\:x$

$Selling \:price \: of \:the \: article (s.p) = Rs\:250$

$Gain (g) = 20\%$

$c.p = \frac{s.p\times 100}{(100+g)}\\= \frac{250\times 100}{100+20}\\= \frac{25000}{120}\\= \frac{Rs\: 625}{3}$

$ii) If \: he \: sold \: it \: Rs\: 275$

$New \: selling \:price = Rs \:275$

$Profit (p) = selling \:price - c.p\\= 275 - \frac{625}{3}\\= \frac{825 - 625}{3}\\= \frac{200}{3}$

$Profit \: percentage \\= \frac{p}{c.p} \times 100\\= \frac{\frac{200}{3}}{\frac{625}{3}}\times 100\\= 32\%$

Therefore.,

$\red {Profit \: percentage }\green {= 32\% }$

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