Alright, let's break down the problem and calculate the necessary values step-by-step.
We need to determine the percentage increase in the man's salary and ensure it matches one of the provided options.
1. Initial Salary:
The initial monthly salary is N2,700.
2. New Salary:
The new monthly salary is N3,000.
3. Increase in Salary:
To find the increase in salary, we subtract the initial salary from the new salary:
[tex]\[
\text{Increase in Salary} = \text{New Salary} - \text{Initial Salary}
\][/tex]
Substituting the values, we get:
[tex]\[
\text{Increase in Salary} = 3000 - 2700 = 300
\][/tex]
4. Percentage Increase:
To find the percentage increase, we use the formula:
[tex]\[
\text{Percentage Increase} = \left( \frac{\text{Increase in Salary}}{\text{Initial Salary}} \right) \times 100
\][/tex]
Substituting the known values:
[tex]\[
\text{Percentage Increase} = \left( \frac{300}{2700} \right) \times 100
\][/tex]
Simplifying this:
[tex]\[
\text{Percentage Increase} = \frac{300}{2700} \times 100 = \frac{300 \div 300}{2700 \div 300} \times 100 = \frac{1}{9} \times 100 \approx 11.11\%
\][/tex]
The man's salary increased by approximately [tex]\(11.11\%\)[/tex], which does not match any of the provided options directly.
Considering all the provided options for the percentage increase:
- Option (a) [tex]$15 \%$[/tex]
- Option (b) [tex]$15.6 \%$[/tex]
- Option (c) [tex]$18.5 \%$[/tex]
The correct calculated percentage increase is [tex]\(11.11\%\)[/tex], which is not listed among the provided options.
There might be a mistake in the provided answer options because the correct calculation yields an increase of about [tex]\(11.11\%\)[/tex].
