Problem: There were 900 students in a school in 1998. In 1999, 4% of the male students \left and 5% new female students joined the school. But the total number of students remained unchanged. How many female students were in the school in 1998?
View all: NATIONAL BANK | OFFICER | RECRUITMENT QUESTION(MATH) SOLVE | 1997
Correct Answer: 400 female
Explanation:
Let, in 1998 female students were x The male students were = (900 —x)
At 4% male students left, Among 100 male students left = 4
Among (900 ~x) male students left = $\frac{4⋅(900-x)}{100}$
= $\frac{900-x}{25}$
Again, 5% female students new,
Among 100 female students joined = 5
Among x female students joined = $\frac{5x}{100} = \frac{x}{20}$
According to the question,
$\frac{900-x}{25} = \frac{x}{20}$
=> 25x = 18000-20x
So, x = 400