The bar graph shows the percentage distribution of the visitors to a museum on three days. The total number of visitors on the three days is 400.
The table shows the ratio of male to female visitors on each day.
The number of male visitors on Wednesday is what percent more than the number of female visitors on Monday?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(14\frac{2}{7}\)%
First the day’s visitors are found from the percentage, then the ratio splits them into males and females. “Percent more than” is taken on the value after “than”, here the female visitors on Monday.
Wednesday visitors \(=45\%\) of \(400=180\)
Male visitors on Wednesday \(\displaystyle =\frac{4}{4+5}\times180=80\)
Monday visitors \(=25\%\) of \(400=100\)
Female visitors on Monday \(\displaystyle =\frac{7}{3+7}\times100=70\)
Difference \(=80-70=10\)
Percentage \(\displaystyle =\frac{10}{70}\times100=\frac{100}{7}=14\frac{2}{7}\%\)
Male visitors on Wednesday are \(14\frac{2}{7}\)% more than female visitors on Monday.