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An article was sold for rs.250 …

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An article was sold for rs.250 with a profit of 5%. What was its cost price ?
  • 1 answers

Sia ? 6 years, 6 months ago

S.P. = C.P. + Profit
{tex}\therefore{/tex} 250 = C.P. + 5% + C.P.
{tex}\therefore{/tex} 250 = C.P. + {tex}\frac{5}{100} \times{/tex} C.P.
{tex}\therefore{/tex} 250 = C.P. + {tex}\frac{1}{20} \times{/tex} C.P.
{tex}\therefore{/tex} 250 = {tex}\left(1+\frac{1}{20}\right){/tex} C.P.
{tex}\therefore{/tex} 250 =  {tex}\frac{21}{20}{/tex} C.P.
{tex}\therefore{/tex} C.P. = Rs.  238{tex}\frac{2}{21}{/tex}
{tex}\therefore{/tex} = Rs. 238.10
Hence, the cost price of the article is Rs.  238{tex}\frac{2}{21}{/tex}

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