Question
A dealer marked his goods 50% above the cost price and
sold it after two consecutive discounts of 10% and 20%. If he had marked it 40% above the cost price and sold it after a discount of 20%, then he would have earned Rs. 300 more. Find the cost price of the goods.Solution
Let the cost price of the goods be Rs. ‘y’. So, the original marked price of the goods = Rs. 1.5y Original selling price of the goods = 1.5y × 0.9 × 0.8 = Rs. 1.08y New marked price of the goods = Rs. 1.4y New selling price of the goods = 1.4y × 0.8 = Rs. 1.12y According to the question: 1.12y – 1.08y = 300 0.04y = 300 y = 300 / 0.04 y = 7500 So, the cost price of the goods = Rs 7500
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