Vijay’s salary was first reduced by 16% and subsequently raised by 11%. What percentage was his final salary lower compared to his initial salary?

Correct option is A

Given:

Vijay's salary was first reduced by 16% and then raised by 11%.

Solution:
Let the initial salary be S.

After a reduction of 16%, the new salary becomes $$S \times (1 - 0.16) = S \times 0.84$$​​
After an increase of 11%, the final salary becomes S$$\times 0.84 \times (1 + 0.11) = S \times 0.84 \times 1.11$$​​

Thus, the final salary is $$S \times 0.84 \times 1.11 = S \times 0.9324$$​​

​$$\text{Percentage change} = \left( \frac{\text{Final salary} - \text{Initial salary}}{\text{Initial salary}} \right) \times 100 \\ \ \\\text{Percentage change} = \left( \frac{S \times 0.9324 - S}{S} \right) \times 100 = \left( 0.9324 - 1 \right) \times 100 = -6.76\%$$​​

Vijay's final salary is 6.76% lower than his initial salary.​