A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :
Correct Answer: Option B
Let the initial amount be x (with gambler), then
\(\left[\left[\left(x+100\right)\frac12\;+\;100\right]\frac12+100\right]\frac12\;=\;\frac x2\)
=> x = 700/3
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