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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 :

Q: 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 initi…

Let the initial amount be x (with gambler), then x + 100 1 2 + 100 1 2 + 100 1 2 = x 2 => x = 700/3

500/3
700/3
300
600

Correct Answer: 700/3

Explanation:

Let the initial amount be x (with gambler), then

$x + 100 \frac{1}{2} + 100 \frac{1}{2} + 100 \frac{1}{2} = \frac{x}{2}$

=> x = 700/3

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