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

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