Question

a shopkeeper buys an article for Rs 15,500 and at aloss of 7%.find the Sellling price of the article​

Answer 1

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

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

• Cost price = Rs. 15, 500
• loss = 7%

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

• Selling price = ???

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

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

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: $\implies\: {\bold{ 7 = \dfrac{loss}{15 ,500} \times 100}}$

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: $\implies\: {\bold{ 7 = \dfrac{loss}{155} }}$

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: $\implies\: {\bold{ loss = 7\times 155}}$

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: $\implies\: {\bold{ loss = Rs. 1085}}$

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$\sf{\pink{\boxed{\bold{loss = Rs. 1085}}}}$

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$\sf{\red{\boxed{\bold{SP = CP - loss}}}}$

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: $\implies\: {\bold{ SP = 15500 - 1085}}$

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: $\implies\: {\bold{ SP = Rs. 14415}}$

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$\sf{\pink{\boxed{\bold{SP = Rs. 14415}}}}$

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

• Shopkeeper sell the article at Rs. 14415

Answer 2

Aɴsᴡᴇʀ:

• The Sellling price of the article = Rs. 14415

Gɪᴠᴇɴ:

• A shopkeeper buys an article for Rs 15,500 and at a loss of 7%.

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Nᴇᴇᴅ Tᴏ Fɪɴᴅ:

• The Sellling price of the article = ?

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Solution:

$\bullet\;\;\underline{\textbf{\textsf{In Case 1:-}}}$

• Let the loss be L.

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Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ ʜᴇʀᴇ:

• ${\underline{\boxed{\sf{Loss\% = \dfrac{Loss}{Cost\:Price}\times 100 }}}}$

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Pᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs:

$\longrightarrow \sf {7 = \dfrac{L}{15500} \times 100}$

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$\longrightarrow \sf {7 = \dfrac{L}{155}}$

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$\longrightarrow \sf {Loss = 7 \times 155}$

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$\longrightarrow \boxed{\sf{\purple{Loss = Rs.\: 1085}}}$

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Hᴇɴᴄᴇ:

• Loss is Rs. 1085

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$\bullet\;\;\underline{\textbf{\textsf{In Case 2:-}}}$

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ ʜᴇʀᴇ:

• ${\underline{\boxed{\sf{Selling\: price = Cost\: price - Loss }}}}$

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Pᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇs:

$\longrightarrow \sf {Selling\: price = 15500 - 1085}$

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$\longrightarrow \boxed{\sf{\purple{Selling\: price = Rs.\:14415}}}$

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Tʜᴇʀᴇғᴏʀᴇ:

• The Sellling price of the article is Rs. 14415.

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