Math, asked by niharika722, 6 months ago

aparna sold a TV for rupees 12600 thereby gaining 1/5 of its cost price. find its cost price​

Answers

Answered by InfiniteSoul
3

\sf{\bold{\green{\underline{\underline{Given}}}}}

  • Selling price = Rs. 12600
  • profit = 1 / 5 of CP

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\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

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  • Cost price = ??

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\sf{\bold{\green{\underline{\underline{Solution}}}}}

  • let the cost price be x

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Profit = 1/5 of x

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Profit = x / 5

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\sf{\red{\boxed{\bold{profit = SP - CP}}}}

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\sf :\implies \:{\bold{\dfrac{x}{5} = 12600 - x }}

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\sf :\implies \:{\bold{\dfrac{x}{5} + x = 12600 }}

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\sf :\implies \:{\bold{\dfrac{5x + x }{5} = 12600  }}

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\sf :\implies \:{\bold{\dfrac{6x}{5} = 12600 }}

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\sf :\implies \:{\bold{x = \dfrac{12600\times 5}{6} }}

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\sf :\implies \:{\bold{x = \dfrac{6300\times 5}{3} }}

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\sf :\implies \:{\bold{x = {2100\times 5}}}

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\sf :\implies \:{\bold{x = Rs. 10500}}

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\sf :\implies \:{\bold{CP = x = Rs. 10500}}

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\sf{\bold{\green{\underline{\underline{Answer}}}}}

  • Therefore CP = Rs. 10500
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