Question

when an article is sold at a gain of 20% it yields Rs 60 more than when it is sold at a loss of 20%.the cost price of the article is

Answer 1

Answer:

$\red { Cost \:price \: of \: an \: article }\green {=Rs\:150 }$

Step-by-step explanation:

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

$i ) Gain (g) = 20\%$

$\boxed {\pink {Selling \:price (S.P) = c.p \left(\frac{100+g}{100}\right) }}$

$= x\left( \frac{100+20}{100}\right)\\= x \times \frac{120}{100}\\= \frac{6x}{5} \: ---(1)$

$ii ) Loss (l) = 20\%$

$\boxed {\pink {Selling \:price (S.P) = c.p \left(\frac{100-l}{100}\right)} }$

$= x\left( \frac{100-20}{100}\right)\\= x \times \frac{80}{100}\\= \frac{4x}{5} \: ---(2)$

/* According to the problem given,

$\implies \frac{6x}{5} - \frac{4x}{5} = 60$

$\implies \frac{2x}{5} = 60$

$\implies x = 60 \times \frac{5}{2}\\ =30 \times 5 \\= Rs \: 150$

Therefore.,

$\red { Cost \:price \: of \: an \: article }\green {=Rs\:150 }$

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