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A store offers different brands of a product. It decides to eliminate the brand that is most likely to be returned. The table shows the number of items of each brand that were returned over the past year and the total sold.

\begin{tabular}{|c|c|c|}
\hline & Returns & Total Sold \\
\hline Brand A & 33 & 685 \\
\hline Brand B & 15 & 492 \\
\hline Brand C & 29 & 361 \\
\hline Brand D & 31 & 766 \\
\hline
\end{tabular}

Which brand should the store eliminate?

A. Brand D
B. Brand B
C. Brand A
D. Brand C

Sagot :

GinnyAnswer
To decide which brand to eliminate, we need to calculate the return rate for each brand. The return rate can be calculated using the formula:

[tex]\[ \text{Return Rate} = \frac{\text{Number of Returns}}{\text{Total Sold}} \][/tex]

Let's compute the return rate for each brand step-by-step.

1. Brand A:
[tex]\[ \text{Return Rate}_A = \frac{33}{685} \approx 0.0482 \][/tex]

2. Brand B:
[tex]\[ \text{Return Rate}_B = \frac{15}{492} \approx 0.0305 \][/tex]

3. Brand C:
[tex]\[ \text{Return Rate}_C = \frac{29}{361} \approx 0.0803 \][/tex]

4. Brand D:
[tex]\[ \text{Return Rate}_D = \frac{31}{766} \approx 0.0405 \][/tex]

Now, we compare these return rates:

- Brand A: [tex]\( \approx 0.0482 \)[/tex]
- Brand B: [tex]\( \approx 0.0305 \)[/tex]
- Brand C: [tex]\( \approx 0.0803 \)[/tex]
- Brand D: [tex]\( \approx 0.0405 \)[/tex]

The highest return rate is for Brand C, which is approximately [tex]\(0.0803\)[/tex].

Therefore, the store should eliminate:

[tex]\[ \boxed{\text{Brand C}} \][/tex]
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