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Question
On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ______.
Options
₹ 310.37
₹ 348.74
₹ 335
₹ 350
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Solution
On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ₹ 350.
Explanation:
Given, SP = ₹ 329 and Loss% = 6%
We know that,
Loss% = `"Loss"/(CP) xx 100`
⇒ `6 = (CP - SP)/(CP) xx 100` ...[∵ Loss = CP – SP]
⇒ 6CP = 100(CP – SP)
⇒ `6/100 CP = CP - SP`
⇒ `CP - 6/100 CP = 329` ...[∵ SP = ₹ 329, given]
⇒ `94/100 CP = 329`
⇒ `CP = (329 xx 100)/94`
∴ CP = ₹ 350
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