Question
After selling 60 Fans a shopkeeper earn a profit of the
selling price of 18 coolers. While selling 60 coolers a shopkeeper losses the selling price of 24 fans. If the numeric value of profit% and loss% is equal and the cost price of the fan is half of the cost price of cooler. Find the ratio of selling price of fan to cooler.Solution
Let the cost price of Fan be Rs. x Then the Cost price of Cooler = 2x Let the Selling price of Fan be a and the selling price of cooler be b Now, according to the question, Cost price of 60 fans = 60x Profit = 18b Profit % = 18b/60x ×100 And Cost price of 60 coolers = 120x Loss = 24a Loss% = 24a/60x ×100 Since the numeric value is equal; ∴ 18b/60x ×100 = 24a/60x ×100 a/b = 3/2
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