Question

$\text{Luxmi sold two sarees for Rs. 2185 each. On one she lost}5\%\text{While on the other she gained}15\%.\text{Find her gain or loss per cent in the whole transaction.}$

Answer 1

$\text{S.P. of sarees=Rs.2185}Loss\%=5\%\therefore \text{C.P.of first saree =}\frac{S.P.\times 100}{100-Loss\%}=Rs.\frac{2185\times 100}{100-5}=Rs.\frac{2185\times 100}{95}=Rs.2300\text{S.P.of second saree =Rs.2185}Gain\%=15\%\therefore \text{C.P of second saree}=\frac{S.P\times 100}{100+gain\%}=Rs\frac{2185\times 100}{100+15}=Rs.\frac{2185\times 100}{115}=Rs.1900\text{Total cost price of two saree =Rs.2300}+Rs.1900=Rs.4200\text{and total selling price =Rs.2185}+Rs.2185=Rs.4370\text{Gain =S.P. -C.P. =Rs. 4370-Rs.4200}=Rs.170Gain\%=\frac{Gain\times 100}{C.P}=\frac{170\times 100}{4200}=\frac{170}{42}=\frac{85}{21}\%=4\frac{1}{21}\%Ans.$