A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is

Options

1. (1) 12
2. (2) 13
3. (3) 11
4. (4) 10

Correct Answer

(2) 13

Explanation

Let a, o, m be prices. From conditions: 2a+4o+6m = a+4o+8m gives a = 2m. From a+4o+8m = 8o+7m gives a+m = 4o, so 3m = 4o. From first basket: 2a+4o+6m = 4m+3m+6m = 13m. Answer: 13 mangoes.

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