A shopkeeper marked up the price of article P by 20% and give discount of d%, then he gets a loss of (d – 11) %. If cost price of article Q is Rs.200 and gets a profit of 1.5d%, then find the selling price of the article Q.
Question
A shopkeeper marked up the price of article P by 20% and give discount of d%, then he gets a loss of (d – 11) %. If cost price of article Q is Rs.200 and gets a profit of 1.5d%, then find the selling price of the article Q.
Solution
Let's solve the problem step by step:
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Let's start with article P. The shopkeeper marked up the price by 20%. Let's say the cost price of article P is CP.
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The selling price of article P after the markup will be CP + 20% of CP, which is CP + 0.2CP = 1.2CP.
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Now, the shopkeeper gives a discount of d% on the selling price. The discounted price will be (1.2CP) - d% of (1.2CP), which is (1.2CP) - (0.01d)(1.2CP) = (1.2CP)(1 - 0.01d).
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The shopkeeper incurs a loss of (d - 11)% on the discounted price. The final selling price of article P will be (1.2CP)(1 - 0.01d) - (d - 11)% of (1.2CP)(1 - 0.01d).
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Now, let's move on to article Q. The cost price of article Q is given as Rs.200.
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The profit on article Q is 1.5d%. The selling price of article Q will be the cost price plus the profit, which is 200 + 1.5d% of 200.
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Simplifying, the selling price of article Q is 200 + (0.015)(200) = 200 + 3.
Therefore, the selling price of article Q is Rs.203.
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