Question

A shopkeeper offers $10\%$ off-season discount to the customers and still makes a profit of $26\%$. What is the cost price for the shopkeeper on a pair of shoes marked at Rs. 1120?

Answer 1

Marked price = Rs. 1120
Rate of discount $=10\%$
$\therefore$ S.P of shoes
$=\frac{M.P\times (100-discount\%)}{100}$
$=\frac{1120\times (100-10)}{100}=\frac{1120\times 90}{100}=Rs.1008$
Gain $=26\%$
$\therefore$ Cost price $=\frac{S.P\times 100}{100+gain\%}$
$=Rs.\frac{1008\times 100}{100+26}=Rs.\frac{1008\times 100}{126}=Rs.800$