Question

if a watch is sold at ₹60 tuere is a loss of 15% for a profit of 2% the watch is to be sold at​

Answer 1

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

• A watch is sold at = Rs. 60
• loss% = 15%

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

• Price at which watch to be sold in order to obtain 2% profit

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

$\sf{\red{\boxed{\bold{CP = \dfrac{SP}{100- loss\%}\times 100 }}}}$

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$\sf: \implies\: {\bold{ CP = \dfrac{60}{100 - 15}\times 100}}$

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$\sf: \implies\: {\bold{ CP = \dfrac{60}{85}\times 100}}$

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$\sf: \implies\: {\bold{ CP = \dfrac{12}{17}\times 100}}$

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$\sf: \implies\: {\bold{ CP = \dfrac{1200}{17}}}$

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$\sf: \implies\: {\bold{ CP = Rs 70.5}}$.... approx

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• Now we'll find at what sp the profit will be 2%

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$\sf{\red{\boxed{\bold{SP = \dfrac{100+profit\%}{100}\times CP}}}}$

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$\sf: \implies\: {\bold{ SP = \dfrac{100+2}{100}\times 70.5}}$

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$\sf: \implies\: {\bold{ SP = \dfrac{102}{100}\times 70.5}}$

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$\sf: \implies\: {\bold{ SP = \dfrac{102}{20}\times 14.1}}$

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$\sf: \implies\: {\bold{ SP = \dfrac{51}{10}\times 14.1}}$

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$\sf: \implies\: {\bold{ SP = \dfrac{919.1}{10}}}$

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$\sf: \implies\: {\bold{ SP = Rs.91.91}}$

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$\sf: \implies\: {\bold{ SP = Rs. 92}}$.....Approx

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

• Watch should be sold at Rs. 92 in order to earn 2% profit