Question : The line chat given below shows the number of male teachers and female teachers in 5 schools.
Which of the following statements is NOT correct?
I. The total number of male teachers in all 5 schools is 106.6% of the total number of female teachers in the 5 schools.
II. The number of female teachers in School E is 11.73% more than the number of male teachers in School I.
Option 1: Only II
Option 2: Only I
Option 3: Both I and II
Option 4: Neither I or II
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Correct Answer: Only II
Solution :
Statement I: The total number of male teachers in all 5 schools is 106.6% of the total number of female teachers in the 5 schools.
From the given graph,
Total number of male teachers in all the schools = 260 + 280 + 270 + 250 + 230 = 1290
Total number of female teachers in all the schools = 280 + 270 + 220 + 210 + 230 = 1210
⇒ Required percentage = $\frac{1290}{1210}\times 100=106.6$%
⇒ Statement I is correct
Statement II: The number of female teachers in School E is 11.73% more than the number of male teachers in School I.
Number of Female teachers in school E = 280
Number of male teachers in school I = 230
⇒ Required percentage = $\frac{280}{230}\times 100= 121.7$%
⇒ Statement II is incorrect
Hence, the correct answer is only II.
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