Question: A trader marked his goods at 20% above the cost price. He sold half the stock at the market price, one quarter at discount of 20% on the marked price and the rest at a discount of 40% on the market price. His total gain is
Options:
A) 2%
B) 4.5%
C) 13.5%
D) 15%
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the total commodities $ =100 $
and CP (per commodity) = Rs. 100
Then, total CP= Rs. 10000
Now, marked price $ =100+\frac{20}{100}\times 100=Rs\text{.}120 $
According to the question,
50% commodity sold on market price
$ =50\times 120=Rs\text{.}6000 $
25% commodity sold on 20% discount
$ =25\times ( 120-\frac{20}{100}\times 120 ) $
$ =25\times (120-24) $
$ =25\times 96=Rs\text{. 2400} $
25% commodity sold on 40% discount
$ =25\times ( 120-\frac{40}{100}\times 120 ) $
$ =25\times (120-48)=25\times 72=Rs\text{. 1800} $
Hence, total selling price $ =1800+2400+6000 $
= Rs. 10200
$ Profit=SP-CP=10200-10000=200 $
$ \therefore $ Profit% = $ \frac{200}{10000},\times ,100 $ = 2%
BETA
