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UPSC Prelims

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CSAT 2024

Q27 2024, Percentage

A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?

एक संख्या को 4 से गुणा करने के बदले गलती से 4 से विभाजित किया गया है। इस गलती के कारण परिणाम में प्रतिशत अंतर कितना होगा?

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Let's assume the original number is x.
When the number is mistakenly divided by 4 instead of multiplying by 4, the result becomes x/4,
The correct result should have been 4x.
Now, let's find the percentage change in the result due to this mistake using the formula for percentage change:

Percentage Change = (Change/ Original Value) * 100
Here, the change is 4x – (x/4) = 15x/4 , and the original value is 4x.
Plugging in the values, we get:
Percentage Change = ((15x/4) / 4x) * 100
Now, simplify and solve for x:
Percentage Change = 15/16 × 100 = 93.75%

So, the correct answer is (d) 93.75%.

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