The boys and girls in a school are in the ratio 7 : 5. If 60% of the boys and 40% of the girl are aged 14 years and below the age of 14 years and the number above the age of 14 years is 870, then the total number of students in the school is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1800
Given:
The boys and girls in a school are in the ratio 7 : 5.
If 60% of the boys and 40% of the girl are aged 14 years and below the age of 14 years
The number above the age of 14 years is 870
Calculations:
Let the number of boys and girls be 70x and 50x
Number of students aged 14 years and below the age of 14 years = 60% of 70x + 40% of 50x = 62x
Number of students above the age of 14 years = 120x - 62x = 58x
⇒ 58x = 870
⇒ x = 15
Total number of students = 120x = 120 × 15 = 1800