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Question
A tradesman sells his goods at 10% discount. What price should he mark on an article that costs him Rs.2400, to gain 12.5%?
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Solution
Let the marked price be Rs. x
Discount = 10%
∴ S.P. = M.P. - discount
= x - 10% of Rs. x
= Rs.`(90)/(100)x`
Given, C.P. = Rs.2400
Gain = 12.5%
`"S.P."/"C.P." = 1 + "Gain"/(100)`
⇒ `((90)/(100)x)/(2400) = 1 + (12.5)/(100)`
⇒ x = `(112.5/100) xx 2400 xx (100)/(90)`
= Rs.3000
∴ The marked price = Rs.3000.
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