Question

Question 109

By selling a chair for ₹ 1440, a shopkeeper loses 10 %. At what price, did he buy it ?

Answer 1

Given, S.P. = ₹ 1440 and loss = 10 %
We know that,

Loss % = $\frac{Loss}{C.P.}\times 100\%$.

$\Rightarrow Loss\%=\frac{C.P.-S.P.}{C.P.}\times 100\%[\because Loss=C.P.-S.P.]\Rightarrow 10=\frac{C.P.-1440}{C.P.}\times 100\Rightarrow \frac{10}{100}C.P.=C.P.-1440\Rightarrow C.P.-\frac{10}{100}C.P.=1440\Rightarrow \frac{9}{10}C.P.=1440\Rightarrow C.P.=\frac{1440\times 10}{9}\therefore$
C.P. = ₹ 1600
Hence, the cost price of chair is ₹ 1600.