Question

In the year 2024, the Department Store P had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

• A. \(\frac{1}{4}\)
• B. \(\frac{4}{15}\)
• C. \(\frac{1}{3}\)
• D. \(\frac{4}{11}\)

Answer 1

The Correct Option is B

Let the total sales from January to November be \( x \). The average sales for these months is: \[ \frac{x}{11} \] The sales for December is 4 times the average sales: \[ December Sales = 4 \times \frac{x}{11} = \frac{4x}{11} \] The total sales for the year is: \[ Total Sales = x + \frac{4x}{11} = \frac{15x}{11} \] The fraction of the year’s total sales for December is: \[ \frac{\frac{4x}{11}}{\frac{15x}{11}} = \frac{4}{15} \] To find the fraction of a total for a specific part, divide the part by the whole.