Question

2. A man sells a sofa set at a gain of 5% Had he sold it for 490 loss, he would have lost 2%. Find the cost price of the sofa set, ​

Answer 1

Suppose C.P of the sofa set =Rs.x

Gain =5%

∴S.P=Rs.100(100+5)×x=Rs.2021x

Loss =2%

∴S.P=Rs.100(100−2)×x=Rs.5049x

Difference in two S.P.s=Rs.(2021x−5049x)=(100105−98)x=Rs.1007x

If difference in S.P is Rs.1007x, 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.

Hope it's Help you.