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 $CP$ be $x$

$MP=120\%\times x=1.2x$

Gain while selling half stocks of goods$=0.5(1.2x-x)=0.1x$

Gain while selling remaining one quarter stocks of goods$=0.25\left[\right(80\%\times 1.2x)-x]=-0.01x$

Gain while selling remaining stocks of goods$=0.25\left[\right(60\%\times 1.2x)-x]=-0.07x$

Net gain$=(0.1-0.01-0.07)x=0.02x$

Gain$\%=\frac{gain}{CP}\times 100$

$⟹\frac{0.02x}{x}\times 100=2\%$