Subject

    Quantitative Aptitude

    Topic

    Percentage

    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 :

    ক)
    500/3
    খ)
    700/3
    গ)
    300
    ঘ)
    600

    Explanation

    Let the initial amount be x (with gambler), then [[(x+100)12  +  100]12+100]12  =  x2\left[\left[\left(x+100\right)\frac12\;+\;100\right]\frac12+100\right]\frac12\;=\;\frac x2 => x = 700/3

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