Data Interpretation Ques 157

Directions : Study the following pie-chart and the related table carefully to answer the questions given below them.

Percentagewise Distribution of students who are studying M.B.A. in 6 different cities

Total number of students $=\mathbf{9 6 0 0 0}$

Cities Male $:$ Female
Lucknow 5 $:$ 3
Mumbai 4 $:$ 3
Kolkata 5 $:$ 4
Chennai 7 $:$ 5
Delhi 6 $:$ 5
Pune 11 $:$ 5

The respective ratio between the number of male and female students who are studying in Lucknow and Kolkata is :

(1) $2: 3$

(2) $3: 2$

(3) $4: 3$

(4) $3: 4$

(5) None of these

Show Answer

Correct Answer: (2)

Solution: (2)

Total students in Lucknow $=\frac{96000 \times 16}{100}=15360$

Males $\Rightarrow \frac{5}{8} \times 15360=9600$

Females $\Rightarrow \frac{3}{8} \times 15360=5760$

Total students in Kolkata $=\frac{96000 \times 9}{100}=8640$

Males $\Rightarrow \frac{5}{9} \times 8640=4800$

Females $\Rightarrow 8640-4800=3840$

$\therefore$ Required ratio $=(9600+4800)$ $:(5760+3840)$ $=14400: 9600=3: 2$

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