हिंदी

A Dealer is Selling an Article Marked Rs.8000 at a Discount of 15%. Find the Selling Price and the Cost Price If the Marked Price is 25% Above the Cost Price.

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प्रश्न

A dealer is selling an article marked Rs.8000 at a discount of 15%. Find the selling price and the cost price if the marked price is 25% above the cost price.

योग
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उत्तर

Given, M.P. of an article = Rs.8000
Discount = 15%
`"S.P."/"M.P." = 1 - "discount"/(100)`

⇒ `"S.P."/(8000) = 1 - (15)/(100)`

⇒ S.P. = `(85)/(100)` x Rs.8000
= Rs.6800
∴ Selling price of the article = Rs.6800
Now, gain = 25%
`"S.P."/"C.P." = 1 + "gain"/(100)`

⇒ `(6800)/"C.P." = 1 + (25)/(100)`

⇒ C.P. = `6800 xx (100)/(125)`
= Rs.5440.

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