Rahul sells two articles on the same price, on one article he calculated a profit of 20% on S.P and on other article he calculated a loss of 25% on C.P. If he gets a loss of Rs. 200 on overall transaction. Find the cost price of cheaper article.

Let SP = selling price of each article. For article 1: 20% profit on SP means CP1 = SP - 0.2×SP = 0.8×SP. For article 2: 25% loss on CP means SP = 0.75×CP2, so CP2 = SP/0.75. Total loss = CP1 + CP2 - 2×SP = 200. Substituting: 0.8×SP + SP/0.75 - 2×SP = 200. Solving: 0.8×SP + 1.333×SP - 2×SP = 0.133×SP = 200. Thus: SP = 200/0.133 ≈ 1500. CP1 = 0.8×1500 = 1200. CP2 = 1500/0.75 = 2000. The cheaper article costs Rs. 1200.