In the year 2010, 5000 students were admitted in a college. It is found that the number of students admitted is constantly increasing by 24 percent per year. How many students will be admitted in the college in the year 2012?
(a)7400
(b)7480
(c)7688
(d)7868
Answer
Answer (as printed): C
Explanation
Number of students admitted in 2012 $$=5000\left(1+\frac{24}{100}\right)^{2}=\left(5000 \times \frac{31}{25} \times \frac{31}{25}\right)=7688 .$$
Explanation as extracted from the printed page; notation may be imperfect.