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Question
A dealer is selling an article marked Rs. 8000 at a discount of 15%. Find the selling price of the article and the cost price if the marked price is 25% above the cost price.
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Solution
M.P. = Rs.8000, discount = 15%
S.P. = `(1 - "d"/100)` of M.P.
⇒ S.P. = `(1 - 15/100) xx 8000`
⇒ S.P. = `(85)/(100) xx 8000`
⇒ S.P. = Rs.6800
Let the cost price be Rs. x
Given that the M.P.
= x + 25% above the C.P.
⇒ 8000 = x + 25% of C.P.
⇒ 8000 = x + `(25)/(100) xx x`
⇒ 8000 = x + `x/(4)`
⇒ 8000 = `(5x)/(4)`
⇒ x = `(8000 xx 4)/(5)`
⇒ x = Rs.6400
So, the C.P. is Rs.6400.
Hence, the S.P. of the article is Rs.6800 and the C.P. is Rs.6400.
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