# Profit on selling 10 bananas equals selling price of 3 apples.

Profit on selling 10 bananas equals selling price of 3 apples. While loss on selling 10 apples equal selling price of 4 bananas. Also profit percentage equals to the loss percentage and cost of a bananas is half of the cost of a apples. What is the ratio of selling price of banana to the selling price of an apple?

(a) 3 : 2

(b) 5 : 4

(c) 4 : 5

(d) 3 : 4

Let us take selling Price of a banana is B and an apple is A.

And let's take cost price of a banana is X, then cost price of an apple is 2X.

Let's take Profit% = Loss% = P.

First it is given, profit on selling 10 bananas equal to selling price of 3 apples.

So we can write this -

10X x (P/100) = 3A ------ (1)

Loss on selling 10 apples equal to selling price of 4 bananas.

So we can write this -

10(2X) x (P/100) = 4B ------ (2)

Now, divide Eq. (2) by Eq. (1)

We can get this -

(4B/3A) = 2/1

And B : A = 3 : 2

So the option (a) 3: 2 is correct.