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a man sells a sofa set …

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a man sells a sofa set at a gain of 5% if he sold it for rupees 490 less he would have loss 2% find the SP of sofa
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ANSWER Suppose C.P of the sofa set =Rs.x Gain =5% ∴S.P=Rs.100(100+5)×x​=Rs.2021​x Loss =2% ∴S.P=Rs.100(100−2)×x​=Rs.5049​x Difference in two S.P.s=Rs.(2021​x−5049​x)=(100105−98​)x=Rs.1007​x If difference in S.P is Rs.1007​x, then C.P=Rs.x If difference in S.P is Rs.490,then C.P =Rs.7×xx×490×100​=Rs.7000 Hence the C.P of sofa set is Rs.7000
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