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An item was sold for rs. …

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An item was sold for rs. 540 at a loss of 5%. What was its cost price?
  • 1 answers

Sia ? 6 years, 6 months ago

S.P. = C.P. – loss
{tex}\therefore{/tex} 540 = C.P. – 5% of C.P.
{tex}\therefore{/tex} 540 = C.P. – {tex}\frac{5}{100} \times{/tex}  C.P.
{tex}\therefore{/tex} 540 = {tex}\left(1-\frac{5}{100}\right){/tex} C.P.
{tex}\therefore{/tex} 540 = {tex}\left(1-\frac{1}{20}\right){/tex} C.P.
{tex}\therefore{/tex} 540 = {tex}\frac{19}{20}{/tex} C.P.
{tex}\therefore{/tex} C.P. = {tex}\frac{540 \times 20}{19}{/tex}
{tex}\therefore{/tex} C.P. = 568{tex}\frac{8}{19}{/tex}
Hence, the cost price of the item is Rs.568{tex}\frac{8}{19}{/tex}

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