If a number is mistakenly divided by 10 instead of being multiplied by 10 then find the percent chan...........

Quantitative Aptitude (Punjab Allied ) Percentage

If a number is mistakenly divided by 10 instead of being multiplied by 10, then find the percent change in the result.

80 %

90 %

95 %

99 %

- Let's say the original number is x.

- Correct operation: x × 10 = 10x

- Mistaken operation: x ÷ 10 = x/10

- The change in result = (New Result - Original Result) = (x/10 - 10x)

- Percent change = $$\frac{(x/10 - 10x)}{10x} \times 100$$

- Simplifying:

- $x/10 - 10x = \frac{x - 100x}{10} = \frac{-99x}{10}$

- Percent change = $\frac{-99x}{10} \div 10x \times 100 = \frac{-99x}{100x} \times 100 = -99\%$

- So, the result decreases by 99%.

- Option 1 (80%) : Too low.

- Option 2 (90%) : Still not matching calculation.

- Option 3 (95%) : Also incorrect.

- Option 4 (99%) : Correct percent decrease!

?? Correct Answer: Option 4 – 99%

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