Question

In a school having roll strength $286,$ the ratio of boys and girls is $8:5.$ If $22$ more girls get admitted into the school, then new ratio of boys and girls is

• A. $4:3$
• B. $3:4$
• C. $5:4$
• D. $4:5$

Answer 1

The correct option is A $4:3$

Given, Boys $:$ Girls $=8:5$
Let the number of boys and girls be $8x$ and $5x$ respectively.
Then, $8x+5x=286$
$\Rightarrow 13x=286$
$\Rightarrow x=22$
So, number of boys $=8\times 22=176$
and number of girls $=5\times 22=110$
Since $22$ more girls get admitted into the school,
therefore new number of girls $=110+22=132$
Hence, new ratio of boys and girls $=176:132=4:3$