Question

What price should Aslam mark on a pair of shoes? Which costs him Rs. 1200 so as to gain $12\%$ after allowing a discount of $16\%$?

Answer 1

Cost price of shoes = Rs. 1200
Gain $=12\%$
$\therefore$ S.P of shoes $=\frac{C.P\times (100+gain\%)}{100}$
$=\frac{1200(100+12)}{100}=Rs.\frac{1200\times 112}{100}$
$=Rs.1344$
Rate of discount $=16\%$
$\therefore$ Marked price $=\frac{S.P\times 100}{100-discount\%}$
$=\frac{1344\times 100}{100-16}=\frac{1344\times 100}{84}=Rs.1600$