Question

$\text{Meenakshi sells a pen for Rs.54 and loses}\frac{1}{10}\text{of her outlay. Find (i) the cost price of the pen,and (ii) the loss per cent.}$

Answer 1

$\text{S.P. of a pen =}Rs.54Loss=\frac{1}{10}\text{of her outlay}=\frac{1}{10}ofC.P.\therefore \text{C.P. of pen - loss = S.P of pen}\Rightarrow \text{C.P. of pen}-\frac{1}{10}\text{of C.P. = S.P.}\Rightarrow \frac{9}{10}\text{of C.P.= S.P.= Rs.54}\therefore C.P=\frac{54\times 10}{9}=Rs.60\text{and loss}=\frac{1}{10}\text{of Rs.60=Rs.6}\therefore Loss\%=\frac{Loss\times 100}{C.P.}=\frac{6\times 100}{60}=10\%Ans.$