Question

By what percent is the number of boys in the Marketing discipline more than the number of girls in the HR discipline?

• A. $13\frac{1}{3}\%$
• B. $33\frac{1}{3}\%$
• C. $14\frac{2}{3}\%$
• D. $16\frac{2}{3}\%$
• E. None of these

Answer 1

The correct option is D $16\frac{2}{3}\%$

Boys $=\frac{7}{15}\times 150=70$
Girls $=\frac{8}{15}\times 150=80$
We can get the following table from the given information in the question
$\begin{array}{ccc}& Boy& Girl\\ Marketing,n\left(M\right)& 28& 40\\ HR,n\left(M\right)& 21& 24\\ Finance,n\left(F\right)& 21& 16\\ HR+Marketing,n(H\cap M)& 7& 9\\ HR+Finance,n(H\cap F)& 6& 7\\ Marketing+Financen(M\cap F)& 5& 8\\ Marketing+Finance+HR,n(M\cap F\cap H)& 2& 3\end{array}$

Required percentage
$=\frac{28-24}{24}\times 100=\frac{4}{24}\times 100=\frac{1}{6}\times 100=16\frac{2}{3}\%$