IPL Auction

Algebra Level 3

Suppose in IPL auction KKR start their bidding with ₹x billion. They invest half of the total money plus ₹12\frac{1}{2} billion on first player. On the second player, They invest half of the rest plus ₹12\frac{1}{2} billion, and so on. On the eleventh (i.e. last) player they invest half of what remains plus ₹12\frac{1}{2} billion. And finish all their money. Find the value of x (in billion).

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