Question

. A man sold an article for ₹495 and gained 10% on it. Find the cost price of the article.​

Answer 1

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

• Selling price = Rs. 495
• Profit% = 10%

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

• Cost Price = ??

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

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

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ CP = \dfrac{495}{100 + 10 }\times 100}}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ CP = \dfrac{495}{110 }\times 100}}$

⠀⠀⠀⠀

$\sf: \implies\: {\bold{ CP = \dfrac{495}{11 }\times 10}}$

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$\sf: \implies\: {\bold{ CP = 45\times 10}}$

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$\sf: \implies\: {\bold{ CP = Rs. 450 }}$

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

• An article cost for Rs. 450 is sold at Rs. 495 at the profit of 10%