Shubham wanted to multiply a number by 7, but mistakenly he divided the number by 7. What will the percentage change(approx.) in the answer due to this mistake?00 : 22 : 445/15 attemptedEndOptions: Pick one correct answer from below34%96%97.9%53%
Question
Shubham wanted to multiply a number by 7, but mistakenly he divided the number by 7. What will the percentage change(approx.) in the answer due to this mistake?00 : 22 : 445/15 attemptedEndOptions: Pick one correct answer from below34%96%97.9%53%
Solution
The correct answer is 97.9%.
Here's the step-by-step solution:
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Let's assume the original number is x. So, the correct operation should have been 7*x = 7x.
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But Shubham mistakenly divided the number by 7, so the result he got was x/7.
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The percentage change due to this mistake can be calculated using the formula: [(Original Value - New Value) / Original Value] * 100%
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Substituting the values in the formula, we get: [(7x - x/7) / 7x] * 100%
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Simplifying this, we get: [(49x - x) / 49x] * 100% = [48x / 49x] * 100%
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This simplifies to: (48/49) * 100% = 97.96% (approximately 97.9% when rounded off).
So, the percentage change in the answer due to Shubham's mistake is approximately 97.9%.
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