The selling price of 13 apples is the same as the cost price of 26 mangoes. The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is

 The selling price of 13 apples is the same as the cost price of 26 mangoes. The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is

A). 5 %

B). 15 %

C). 25 %

D). 35 %

Let the selling price of one apple be $S_A$ and the cost price of one mango be $C_M$.

Given that the selling price of 13 apples is equal to the cost price of 26 mangoes:
$ 13S_A = 26C_M $
$ S_A = 2C_M $

Also, given that the selling price of 16 mangoes is equal to the cost price of 12 apples:
$ 16S_M = 12C_A $
$ S_M = \frac{12C_A}{16} = \frac{3C_A}{4} $

The profit on selling mangoes is 20%, so:
$ S_M = 1.2 C_M $

Substituting $ S_M = \frac{3C_A}{4} $:
$ 1.2 C_M = \frac{3C_A}{4} $
$ C_M = \frac{3C_A}{4 \times 1.2} $
$ C_M = \frac{3C_A}{4.8} $
$ C_M = \frac{5C_A}{8} $

From $ S_A = 2C_M $:
$ S_A = 2 \times \frac{5C_A}{8} = \frac{10C_A}{8} = \frac{5C_A}{4} $

Profit percentage on apples:
$ \frac{S_A - C_A}{C_A} \times 100 = \frac{\frac{5C_A}{4} - C_A}{C_A} \times 100 $
$ = \frac{\frac{5C_A}{4} - \frac{4C_A}{4}}{C_A} \times 100 $
$ = \frac{\frac{C_A}{4}}{C_A} \times 100 $
$ = \frac{1}{4} \times 100 $
$ = 25\% $

Thus, the correct answer is: C) 25%

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