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

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

A.

25%

B.

72.75%

C.

50%

D.

93.75%

Correct option is D

Given
Actual operation = Multiply by 4
Mistaken operation = Divide by 4
Solution
Let the number be x.
Original result = 4x
Mistaken result = x/4
Change = 4xx4=15x44x - \frac{x}{4} = \frac{15x}{4}

% Change = 15x/44x×100=1516×100=93.75\frac{15x/4}{4x} \times 100 = \frac{15}{16} \times 100 = 93.75%​​

Final Answer
So the correct answer is (d)

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