Choose the correct answer from the alternatives given : Approximately how much percent should a trades man add on the price of his goods in order that he may make $10$% profit after allowing a rebate to the customer $4$% of the bill?

Let the marked price be x and the cost price be 100, where the selling price after a 4% discount is 0.96x. To make a 10% profit, the selling price must be 110, giving the equation 0.96x = 110. Solving for x yields a marked price of 114.58, meaning he must add approximately 14.5% to the cost price. The tradesman should add approximately 14.5%.

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