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Question
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.
Solution
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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