Question

Study the pie – chart carefully to answer the following questions.
The pie-chart shows the percentage of students studying 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) What is the total number of men studying in the institute?
(B) The number of women studying Marketing is approximately what percent of the total number of students in the institute?
[2 Marks]

Answer 1

It is obvious from above.

$\begin{array}{ccccc}& \text{Specialisation}& \text{Total number of students}& \text{Men}& \text{Women}\\ & \text{students}& & & \\ \text{1.}& \text{HR}& \text{990}& \text{396}& \text{594}\\ \text{2.}& \text{Marketing}& \text{720}& \text{420}& \text{300}\\ \text{3.}& \text{International Business}& \text{810}& \text{675}& \text{135}\\ \text{4.}& \text{Banking}& \text{540}& \text{340}& \text{200}\\ \text{5.}& \text{IT}& \text{945}& \text{315}& \text{630}\\ \text{6.}& \text{Finance}& \text{495}& \text{275}& \text{220}\\ & & \text{4500}& \text{2421}& \text{2079}\end{array}$

(A) From the table it is clear that total number of men studying in the institute is 2421.
[1 Mark]

(B) The number of woman studying Marketing is 300 and the total number of students is 4500.
The required percentage $=\frac{300\times 100}{4500}=6.6\%\approx 7\%$.
[1 Mark]