Question

The pie-chart shows the percentage of students taking up different specialisations in a management institute. The total number of students is 4500.

Ratio of men to women in each specialisation
$\begin{array}{ccc}\text{Specialisation}& \text{Men}& \text{Women}\\ \text{HR}& \text{2}& \text{3}\\ \text{Marketing}& \text{7}& \text{5}\\ \text{International Business}& \text{5}& \text{1}\\ \text{Banking}& \text{17}& \text{10}\\ \text{IT}& \text{1}& \text{2}\\ \text{Finance}& \text{5}& \text{4}\end{array}$

(A) Find the total number of men studying Banking and International Business.
(B) Find the percentage of women studying Finance with respect to the number of men studying the same.

Answer 1

We can calculate the number of men and women in each branch as shown in the table below.
$\begin{array}{ccccc}& \text{Specialisation}& \text{Total number of students}& \text{Men}& \text{Women}\\ & \text{students}& & & \\ \text{1.}& \text{HR}& \text{990}& \text{396}& \text{594}\\ \text{2.}& \text{Marketing}& \text{720}& \text{420}& \text{300}\\ \text{3.}& \text{International Business}& \text{810}& \text{675}& \text{135}\\ \text{4.}& \text{Banking}& \text{540}& \text{340}& \text{200}\\ \text{5.}& \text{IT}& \text{945}& \text{315}& \text{630}\\ \text{6.}& \text{Finance}& \text{495}& \text{275}& \text{220}\\ & & \text{4500}& \text{2421}& \text{2079}\end{array}$

(A) The required number of men = 675 + 340 = 1015.
(B) The required percent $=\frac{4}{5}\times 100=80\%$