A number was divided by 8 instead of being multiplied by 8 As a result of this there was an error in...........

Quantitative Aptitude (MTS) Number System

A number was divided by 8, instead of being multiplied by 8. As a result of this, there was an error in the answer. What is the

percentage difference ( correct to two places of decimal) in the answer due to this miscalculation?

This questions was previously asked in

SSC MTS 8th October 2021 Shift-1

48.67%

67.33%

98.44%

72.00%

To solve this problem, follow these steps:

- Let the original number be \( x \).

- The correct operation should be \( x \times 8 \), which equals \( 8x \).

- Instead, the number was divided by 8, which gives \( \frac{x}{8} \).

- Calculate the error: \( 8x - \frac{x}{8} = 8x - 0.125x = 7.875x \).

- The percentage difference is \(\left(\frac{7.875x}{8x}\right) \times 100\).

- Simplifying, the percentage difference is \( \frac{7.875}{8} \times 100 = 98.4375\%\).

- Therefore, the correct option is Option 3: 98.44%.

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