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.

A 2:1 Correct Answer Incorrect Answer
B 3:2 Correct Answer Incorrect Answer
C 2:3 Correct Answer Incorrect Answer
D 5:7 Correct Answer Incorrect Answer
E 23:35 Correct Answer Incorrect Answer

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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