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

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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

1 answer

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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. 

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