By selling an article for ₹ 2700, a man loses 10%. If he sells it for ₹ 3600, his gain per cent is
15
18
20
25
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CAPF – 2019
When sold for ₹ 2700, there is a loss of 10%.
Selling Price (SP) = CP * (1 – Loss Percentage / 100)
2700 = x * (1 – 10/100)
2700 = x * (1 – 0.10)
2700 = x * 0.90
x = 2700 / 0.90 = 27000 / 9 = ₹ 3000.
So, the Cost Price of the article is ₹ 3000.
Now, if the article is sold for ₹ 3600, the Selling Price is ₹ 3600.
The gain is SP – CP = 3600 – 3000 = ₹ 600.
The gain percentage is (Gain / CP) * 100.
Gain percentage = (600 / 3000) * 100 = (6 / 30) * 100 = (1 / 5) * 100 = 20%.
The formula for SP with gain is SP = CP * (100 + Gain%) / 100.
Gain percentage is (Gain / CP) * 100.