A trader offers "Buy two, get one free" on a certain pair of trousers. If the marked price of the pair of trousers is ₹ 2700, and the trader still earns a profit of 20%, find the cost price of one pair of trousers for the trader.
₹ 1,500
Buy 2, get 1 free means for every 3 pairs given, the customer pays for only 2 at the marked price of ₹2,700 each: revenue \(=2\times2700=5400\).
Let the trader's cost per pair be c. Total cost for 3 pairs: \(3c\). With 20% profit: \(5400 = 1.2\times3c \Rightarrow 3c = 4500 \Rightarrow c = 1500\).
Hence, the cost price of one pair of trousers for the trader is ₹1,500.
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