Question

A number is increased by 10\(\%\) and then reduced by 10\(\%\). After this operation, the number

• A. Does not change.
• B. Decreases by 1\(\%\)
• C. Increases by 1\(\%\).
• D. Increases by 0.1\(\%\)

Answer 1

The Correct Option is B

The correct option is (B): Decreases by 1\(\%\)
When a number \( x \) is increased by \( 10\% \), the new value becomes:
\[x + 0.1x = 1.1x\]
Then, when this increased value is reduced by \( 10\% \):
\[1.1x - 0.1(1.1x) = 1.1x - 0.11x = 0.99x\]
This shows that after the operations, the final value is \( 0.99x \), which means the number decreases by \( 1\% \).
Thus, the correct answer is Option B: Decreases by 1%.