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Question

Aarush used to solve 4 questions in 16 minutes. After much practice, he is now able to solve 6 questions in 18 minutes. What is the percentage decrease in the time he has achieved to solve each question?
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Solution

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Number of questions Aarush used to solve initially = 4 questions in 16 minutes
Time needed to solve a question = 164 = 4 minutes

Number of questions Aarush can solve after practising = 6 questions in 18 minutes
Time needed to solve a question = 186 = 3 minutes

Decrease in time to solve a single question = 4 - 3 = 1 minutes.
Therefore, the percentage decrease is given by
Decrease Percent = amount decreasedOriginal or base×100
On substituting the values, we get:
Decrease in percentage = 14×100 = 25%
Hence, after practising Aarush reduced 25% of the time to solve a single question.


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