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

Given: CP = Rs 1200, Discount % =16 % and

Profit % = 12%

We know that,

$S.P=C.P\times (1+\frac{\text{Profit}\%}{100})$

$=1200\times (1+\frac{12}{100})$

$=1200\times \frac{112}{100}$

= Rs 1344

Now, S.P =Rs 1344 and discount % =16%

$\therefore M.P=\left(\frac{S.P\times 100}{100-\text{Discount}\%}\right)$

$=\frac{1344\times 100}{100-16}$

$=\frac{1344\times 100}{84}$

= Rs 1600

Hence, the marked price of the pair of shoes is
Rs 1600.