The following pie-chart shows the number of students admitted in different faculties of a college.

Question:

The following pie-chart shows the number of students admitted in different faculties of a college. If 1000 students are admitted in Science answer the following:


(i) What is the total number of students?

(ii) What is the ratio of students in science and arts?

Solution:

(i) Students in science $=\frac{\text { Central angle of the corresponding sector } \times \text { Total students }}{360^{\circ}}$

$1000=\frac{100^{\circ} \times \text { Total students }}{360^{\circ}}$

$\therefore$ Total students $=3600$

(ii) Students in arts $=\frac{\text { Central angle for arts } \times \text { Total students }}{360^{\circ}}$

$=\frac{120^{\circ} \times 3600}{360^{\circ}}=1200$

$\therefore$ Ratio of students in science and arts $=1000: 1200=5: 6$

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