Discussion
The following chart gives the percentage of the different subject teachers in a particular school. Total number of teachers is 1600.
| Subject | Teachers (%) |
|---|---|
| Physics | 12% |
| History | 14% |
| Hindi | 15% |
| English | 21% |
| Mathematics | 22% |
| Chemistry | 16% |
What is the number of male teachers of mathematics if the ratio of mathematics teachers of male to female is 3 : 1 ?
Answer: B
The number is 264.
Mathematics teachers are 22% of all teachers.
\[ 22\% \text{ of } 1600 = \frac{22}{100} \times 1600 = 352 \]
The male to female ratio is 3 : 1, so males are three of every four mathematics teachers.
\[ \frac{3}{4} \times 352 = 264 \]
There are 264 male mathematics teachers. The option 352 is all the mathematics teachers, 88 is the female share (one quarter of 352) and 176 is half of them.
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