Question

$\text{By selling 45 lemons, a vendor loses a sum equal to the selling price of 3 lemons. Find his loss per cent.}$

Answer 1

$\text{S.P. of 45 lemons, = C.P OF 45 lemons - loss}\Rightarrow \text{S.P, of 45 lemons = C.P of 45}\text{lemons - S.P of 3 lemons}\Rightarrow \text{S.P of 45 lemons + S.P of 3 lemons}=\text{C.P of 45 lemons}\Rightarrow \text{S.P of 48 lemons = C.P of 45 lemons}\text{Let C.P of 1 lemon =Rs.1}\text{then C.P of 45 lemons =Rs.45}\text{and S.P of 48 lemons = Rs.45}\text{then S.P. of 1 lemon = Rs.}=\frac{45}{48}=Rs/\frac{15}{16}\text{Loss = C.P - S.P.}=Re.1-Rs.\frac{15}{16}=Rs,\frac{16-15}{16}=Rs.\frac{1}{16}\text{Loss}\%=\frac{Loss\times 100}{C.P.}=\frac{\frac{1}{16}\times 100}{1}=\frac{100}{16}=\frac{25}{4}=6\frac{1}{4}\%Ans.$