Question

A trader marks his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price, and the rest at a discount of 40% on the marked price. His total gain is

• A. 2%
• B. 4.5%
• C. 13.5%
• D. 15%

Answer 1

The correct option is A 2%

Let the C.P. of the total stock = Rs.100

Then M.P. of the total stock = Rs.120
$\therefore S.P.=\frac{1}{2}\times 120+\frac{1}{4}\times \frac{80}{100}\times 120+\frac{1}{4}\times \frac{60}{100}\times 120$
$=Rs.(60+24+18)=Rs.102$
$\therefore$ Total gain $=Rs.102-Rs.100=Rs.2i.e.2\%$