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Question
A shopkeeper allows a discount of 12.5% on the marked price and makes a profit of 20%. If the cost price is Rs. 4200, what should be the marked price?
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Solution
C.P. = Rs.4200, discount = 12.5%, profit % = 20%
profit % = `"profit"/"C.P." xx 100`
⇒ 20 = `"profit"/(4200) xx 100`
⇒ profit = `(20 xx 4200)/(100)`
⇒ profit = Rs.840
S.P. = Rs.4200 + Rs.840
= Rs.5040
S.P. = `(1 - "d"/100)` of M.P.
⇒ 5040 = `(1 - 12.5/100) xx "M.P."`
⇒ 5040 = `(87.5)/(100) xx "M.P."`
⇒ `(5040 xx 100)/(87.5)` = M.P.
⇒ M.P. = Rs.5760
Hence, the price he should mark the article at is Rs.5760
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