Subject

    Quantitative Aptitude

    Topic

    Percentage

    The charges per hour playing game is increased by 25% then find the percentage decrease in time period of playing game for a player who can afford only a 10% increase in expenditure.

    ক)
    10%
    খ)
    24%
    গ)
    12%
    ঘ)
    18%
    ঙ)
    None of these

    Explanation

    Let the player plays 1 hour per day and rate of playing game per hour is 1 rupee. Formula: Time × rate = total charges Total expenditure, when charges are not increased, ⇒ 1 × 1 = 1 rupees Now, he can spend 10% more on playing game, ∴ His expenditure =1×110100=1.1 rupees.= 1 \times \frac{{110}}{{100}} = 1.1\ rupees. New rate of playing game =1×125100=1.25= 1 \times \frac{{125}}{{100}} = 1.25 rupees/(hour), ∴ Total time for the person to play game = x (Let) \eqalign{ & \Rightarrow x \times 1.25 = 1.1 \cr & \Rightarrow x = \frac{{1.1}}{{1.25}} = 0.88\ hour. \cr} Percentage decrease in time =1−0.881×100,= \frac{{1 - 0.88}}{1} \times 100, = 12%

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