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Profit on selling 10 ceiling fans equal selling price of 3 coolers. While loss on selling 10 coolers equal selling price of 4 ceiling fans. Also profit percentage equals to the loss percentage and cost of a ceiling fan is half the cost of a cooler. What is the ratio of selling price of ceiling fan to the selling price of a cooler?

Profit on selling 10 ceiling fans equal selling price of 3 coolers. While loss on selling 10 coolers equal selling price of 4 ceiling fans. Also profit percentage equals to the loss percentage and cost of a ceiling fan is half the cost of a cooler. What is the ratio of selling price of ceiling fan to the selling price of a cooler? Correct Answer 3 ∶ 2

Let the cost prices of ceiling fan and cooler be a and c respectively

Also, selling prices of ceiling fan and cooler be b and d respectively

ATQ,

⇒ c = 2a

Also,

⇒ Profit = 10(b – a) = 3d

⇒ Loss = 10(c – d) = 4b

So,

⇒ Profit% = (3d/10a) × 100

⇒ Loss% = (4b/10c) × 100

Again, given that,

⇒ (3d/10a) × 100 = (4b/10c) × 100

⇒ 3d/a = 4b/c

⇒ 3d/a = 4b/2a

⇒ b/d = 3/2

∴ Required ratio is 3 ∶ 2

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