A merchant bought two items: a mixer and a juicer for Rs. 9,500. He sold the mixer at a profit of 30% and the juicer at a loss of 20%. Determine the cost price of the juicer if the merchant made a profit of Rs. 475 overall.
ATQ, Let the cost price of the mixer = Rs. z So, the cost price of the juicer = Rs. 9,500 − z Selling price of the mixer = Rs. 1.3z Selling price of the juicer = 0.8 × (9,500+475) = Rs.(7,600-0.8z) Total selling price = 1.3z+7,600−0.8z = 9,500+475 0.5z+7,600 = 9,975 0.5z = 2,375 z = 4,750 So, the cost price of the juicer = Rs. 9,500−4,750 = Rs.4,750
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