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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? [3 MARKS]

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Solution

## Formula: 1 Mark Steps: 1 Mark Answer: 1 Mark 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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