Question

A trader marked 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 cost price of whole stock $=Rs100$
Then, Marked price of the stock $=100+100\times \frac{20}{100}=120$
Marked price of \frac{1}{4} stock $=Rs\frac{120}{4}=Rs30$
Remaining stock$=x-(\frac{x}{2}+\frac{x}{4})=x-\frac{3}{4}x=\frac{x}{4}$
So Marked Price of remaining stock $=Rs\frac{120}{4}=Rs30$
$\therefore S.P.ofhalfthestockatthemarkedprice=Rs60$
S.P of the one quarter stock at the discount 20% on the marked price = 80% of marked price of 1/4th stock = 80% of 30 = 24
And S.P of remaining stock at the discount of 40% on the marked price = 60% of marked price of 1/4th stock = 60% of 30 = Rs 18
Thus the total S.P $=Rs(60+24+18)=Rs102$
Hence gain%$=(102-100)=2$%