Question

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

Answer 1

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

• 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