Question
A trader marks his goods 40% above the cost price. He allows a discount of 20% on the marked price and still earns an additional profit of Rs 48 compared to selling at cost price. Find the cost price of the article.
Solution
ATQ, Let cost price = C. Marked price = 1.40C Discount 20% β Selling price S = 0.8 Γ 1.40C = 1.12C Extra profit over cost = S β C = 1.12C β C = 0.12C Given 0.12C = 48 C = 48 / 0.12 = 400 Cost price = Rs 400.
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