By selling an article at ₹ 270, a man loses 10%. If he would sell it at ₹ 360, his gain percent is
10
15
20
25
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2013
The man sells the article at ₹ 270, incurring a loss of 10%.
Selling Price (SP1) = CP – Loss
SP1 = CP – 10% of CP
270 = X – (10/100) * X
270 = X – 0.10X
270 = 0.90X
X = 270 / 0.90
X = 2700 / 9
X = 300
The Cost Price (CP) of the article is ₹ 300.
Now, the man sells the article at ₹ 360 (SP2).
Selling Price (SP2) = ₹ 360.
Cost Price (CP) = ₹ 300.
Since SP2 > CP, there is a gain.
Gain = SP2 – CP = 360 – 300 = ₹ 60.
The gain percent is calculated as (Gain / CP) * 100.
Gain percent = (60 / 300) * 100
Gain percent = (1 / 5) * 100
Gain percent = 20%.
His gain percent is 20.