In a school there are total 560 students. The ratio of boys and girls is 13 : 15. If 40 more boys gets admitted into the school, then what will be the new ratio of boys and girls?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1 : 1.
Total number of students in the school = 560
Ratio of boys to girls = 13 : 15
40 more boys are admitted.
the number of boys = (13x)
the number of girls = (15x)
⇒ 13x + 15x = 560
⇒ 28x = 560
⇒ x = 560 / 28 = 20
the number of boys
⇒ 13x = 13 × 20 = 260
the number of girls
⇒ 15x = 15 × 20 = 300
After 40 more boys are admitted, the number of boys :
⇒ 260 + 40 = 300
The number of girls remains unchanged at 300.
The new ratio of boys to girls is:
⇒ 300 / 300 = 1 : 1