In a school, of the number of students are girls and the rest are boys. of the number of boys are below 14 years of age, and of the number of girls are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number in the schools is :
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 1920.
Let the total number of students be y
The total number of girls = 5y/12
Then, the number of boys = y - 5y/12 = 7y/12
The number of below 14 years of age = 4/7 × 7y/12 = y/3
The number of girls 14 years or above 14 years of age = 2/5 × 5y/12 = y/6
The number of girls below 14 years = 5y/12 - y/6 = 3y/12 = y/4
Total number of students below 14 years = y/3 + y/4 = 7y/12
According to the question
⇒ 7y/12 = 1120
⇒ y = 1920
Hence,
The total number of students is 1920