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Question
A shirt was sold for Rs.1265 at a gain of 15%. Had the selling price been Rs.55 more, the gain would have been 20%. Find the cost price of the shirt.
Solution
S.P. of the shirt
= Rs.1265 + Rs.55
= Rs.1320
Gain = 20%
`"S.P."/"C.P." = 1 + "Profit"/(100)`
⇒ `(1320)/"C.P." = 1 + (20)/(100)`
⇒ `(1320)/"C.P." = (120)/(100)`
⇒ C.P. = `(1320 xx 100)/(120)`
= Rs.1100.
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