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A worker had his monthly salary of ₦3500.00 increased to ₦5000.00. What was the percentage increase? (correct your answer to 1 decimal place).

Mathematics

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Step-by-step solution

3 steps
  1. Calculate the increase in salary.

    The increase is the difference between the new salary and the original salary.

    Increase=New Salary−Original Salary\text{Increase} = \text{New Salary} - \text{Original Salary} Increase=N5000.00−N3500.00\text{Increase} = \text{N}5000.00 - \text{N}3500.00 Increase=N1500.00\text{Increase} = \text{N}1500.00
  2. Calculate the percentage increase.

    The percentage increase is the increase divided by the original salary, multiplied by 100%.

    Percentage Increase=IncreaseOriginal Salary×100%\text{Percentage Increase} = \frac{\text{Increase}}{\text{Original Salary}} \times 100\% Percentage Increase=N1500.00N3500.00×100%\text{Percentage Increase} = \frac{\text{N}1500.00}{\text{N}3500.00} \times 100\% Percentage Increase=1535×100%\text{Percentage Increase} = \frac{15}{35} \times 100\% Percentage Increase=37×100%\text{Percentage Increase} = \frac{3}{7} \times 100\% Percentage Increase≈0.42857×100%\text{Percentage Increase} \approx 0.42857 \times 100\% Percentage Increase≈42.857%\text{Percentage Increase} \approx 42.857\%
  3. Correct the answer to 1 decimal place.

    Rounding 42.857%42.857\% to one decimal place gives 42.9%42.9\%.

    Percentage Increase≈42.9%\text{Percentage Increase} \approx 42.9\%

    The percentage increase in salary is 42.9%\boxed{\text{42.9\%}}.

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