Question

Q/:- A man gets Rs-13 more by selling
an article at a profit of 12 1/2 %
than selling it at a loss of 12 1/2%.
The cost price of the article is​

Answer 1

Step-by-step explanation:

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Answer 2

Let cost price (c.p) = Rs x ,

case 1:

$profit (g) = 12.5 /%$

$selling \: price (s.p _{1} ) = c.p\left( \frac{100+g}{100}\right)\\= x\left(\frac{100+12.5}{100}\right)\\= \frac{1125}{1000}x \: ---(1)$

case 2:

$Loss (l) = 12.5 /%$

$selling \: price (s.p _{2} ) = c.p\left( \frac{100-l}{100}\right)\\= x\left(\frac{100-12.5}{100}\right)\\= \frac{875}{1000}x \: ---(2)$

/* According to the problem given

$\frac{1125}{1000}x - \frac{875}{1000}x = 13$

$\implies \frac{1125-875}{1000} = 13$

$\implies \frac{250x}{1000} = 13$

$\implies \frac{x}{4} = 13$

$\implies x = 13 \times 4 = 52$

Therefore.,

$\red { cost \: price \: of \: the \: article } \green { =Rs \: 52 }$

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