Question
A dealer purchased two watches for the same price. He
marked the first watch 50% above the CP and the second watch 80% above the CP. He offered a discount of 20% on the first watch and 25% on the second watch. Find the selling price of the first watch if the total profit earned is Rs 1,100.Solution
Let, the cost price of each watch = Rs. x Marked price of the first watch = Rs. 1.5x Selling price of the first watch = 1.5x × 0.80 = Rs. 1.2x Marked price of the second watch = Rs. 1.8x Selling price of the second watch = 1.8x × 0.75 = Rs. 1.35x According to question: 1.2x + 1.35x – 2x = 1100 0.55x = 1100 x = 2000 So the selling price of the first watch = 1.20 × 2000 = Rs. 2,400
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