A wizard having powers of mystic incantations and magical medicines. Seeing a cock fight going on, spoke privately to both the owners of cocks. To one he said; if your bird wins, then you give me your stake- money, but if you do not win, I shall give you two thirds of that. Going to the other, he promised in the same way to give three fourths. From both of them his gain would be only 12 gold coins. Find the stake of money each of the cock- owners have.

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40, 42

42, 40

42, 42

40, 40

answer is B.

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Detailed Solution

Concept: We must note that whatever the case is the wizard gains 12 gold coins.
Money from both the cock owners be x and y respectively.
Case of first cock owner: -
If he wins the wizard will give two thirds of the owner's stake and if he loses the wizard will give three fourth of the owner's stake. So,

Case of second cock owner: -

From these two equations we get,
Question Image

Hence, the correct answer is option 2.

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