Question

If five-sevenths of the teachers who teach Mathematics are female, then the number of male Mathematics teachers is approximately what percentage of the total number of teachers who teach English?

• A. 57
• B. 42
• C. 63
• D. 69
• E. 51

Answer 1

The correct option is A 57

Number of Mathematics teachers
$=\frac{2000\times 14}{100}=280$
Number of male Mathematics teachers
$=280\times \frac{2}{7}=80$
Number of teachers who teach English
$=\frac{2000\times 7}{100}=140$
$\therefore$ Required percentage
$=\frac{80}{140}\times 100=57\%$
Alternate Method
$=\frac{14\times \frac{2}{7}}{7}\times 100=57\%$