Question

$\text{Vinod sold a watch to Alex at a gain of}12\%\text{and Alex had to sell it to Shweta at a loss of}5\%.\text{If shweta paid Rs.1330 for it, how much did Vinod pay for the watch?}$

Answer 1

$\text{C.P.for Shweta = Rs.1330}\text{or S.P. for Alex =Rs.1330}loss\%=5\%\therefore C.P.forAlex=\frac{S.P.\times 100}{100-loss\%}=\frac{1330\times 100}{100-5}=Rs.\frac{1330\times 100}{95}=Rs.1400\text{or S.P. for Vinod=Rs.1400}Gain=12\%\therefore C.P.forVinod=\frac{S.P.\times 100}{100+gain\%}=\frac{Rs.1400\times 100}{100+12}=Rs.\frac{1400\times 100}{112}=Rs.1250\therefore \text{Vinod purchased this watch for}=Rs.1250Ans.$