Discussion
This given pie-chart indicates the distribution of students who appeared for board examination from schools A, B, C, D and E in 2020. Study the pie-chart and answer the question that follows.
Total number of students appeared = 2400
The ratio of boys and girls appeared from school A is 5 : 6 and 60 % of the students who appeared from school E are girls. Total number of girls who appeared from schools A and E exceeds \(\frac{2}{3}\) of the total number of students who appeared from school B and D by \(x\). The value of \(x\) lies between:
Answer: C
The value of x is 120, which lies between 115 and 125. The total is 2400 students. From the pie chart, school A has 22 % = 528, B has 16 % = 384, D has 17 % = 408 and E has 25 % = 600.
\[ \text{Girls in A} = \frac{6}{11} \times 528 = 288 \]
\[ \text{Girls in E} = 0.60 \times 600 = 360 \]
So the girls from A and E number 288 + 360 = 648. The students from B and D number 384 + 408 = 792, and two thirds of that is 528.
\[ x = 648 - 528 = 120 \]
The other ranges, 95 to 105, 105 to 115 and 125 to 135, do not contain 120.
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