In a school there are total 414 students. The ratio of boys and girls is 5 : 4. If 46 more boys gets admitted into the school, then what will be the new ratio of boys and girls?

3 : 2

Boys : Girls

  5   :    4

⇒ (5 + 4) units = 414

⇒ 9 units = 414

⇒ 1 unit = 46

⇒ Boys = 5 x 46 = 230

⇒ Girls = 4 x 46 = 184

⇒ 46 Boys admitted to the school = 230 + 46 = 276

⇒ New Ratio of Boys and Girl = 276 : 184 = 3 : 2.