Aditya sold article X at a profit of 23% and article Y at a loss of 13%. He earned a profit of ₹180 in the entire transaction. If article X costs ₹90 less than article Y, then what is the price of article Y (in ₹)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2,007.
Given that
Aditya sold article X at a profit of 23%
The article Y sold at a loss of 13%
He earned a profit of ₹180 in the entire transaction
Let cost price of article X and Y be (y - 90) and y respectively
According to the question
Total profit earned = Profit on X - Loss on Y
⇒ 0.23 (y - 90) - 0.13 y = 180
⇒ 0.23y - 0.13y = 180 + 0.23 × 90 = 180 + 20.7 = 200.7
⇒ 0.1y = 200.7
⇒ y = 200.7/0.1 = ₹2007
Hence, the cost price of article Y is ₹2007