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The following graph provides data about the refrigerators and television sets manufactured by XYZ company in 8 days - day1 to day8. However, on each day after quality check (QC) some products were found to be defective. The attached bar chart provides data about aggregate number of refrigerators and televisions manufactured by the company and the number of refrigerators found defective after QC on each day of the given eight days.
All the televisions and refrigerators which cleared the QC were packed for selling.
The bar chart given below provides information about the fraction of the number of televisions found defective to number of televisions which cleared the QC.
Which of the following can be the ratio of number of televisions and refrigerators which cleared the quality check on day1?
The second chart provides information about the fraction of defective televisions found to the number of televisions that cleared the QC. On day 1, this ratio is 3:4, i.e. let the number of televisions found detective be '3a'. The number of televisions which cleared the QC is 4a, and the total number of televisions is 7a. Similarly, calculating for all the days, we will get the below data.
The number of televisions which cleared quality check on day 1 = 4a
The number of refrigerators which cleared quality check on day 1 = 800 - 7a - 100 = 700 - 7a
Ratio = $$\frac{4a}{700-7a}$$
Only option D satisfies the above equation.
The answer is option D.
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