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.
Correct Answer: Option C
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 \(= 1 \times \frac{{110}}{{100}} = 1.1\ rupees.\)
New rate of playing game \(= 1 \times \frac{{125}}{{100}} = 1.25\) 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 \(= \frac{{1 - 0.88}}{1} \times 100,\)
= 12%
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