Question

Rs. 58 is divided among 150 children such that each girl gets 25p and each boy get 50p. How many boys are there ?

• A. $52$
• B. $54$
• C. $68$
• D. $62$

Answer 1

The correct option is C $68$

Let number of boys be $x$ and number of girls be $y$
Since, Total number of children's are $150$
$\therefore$ $x+y=150$ ....(1)
Rs. 58 is divided among 150 children such that each girl gets 25p and each boy get 50p
$\therefore$ Out of $Rs.58$ Boys will get Rs. $0.25x$ and girls will get Rs. $0.5y$.
$\therefore$ $\frac{25}{100}x+\frac{50}{100}y=58$

$\therefore$$x+2y=232$ ...(2)
Subtract equation (1) from equation (2), we get $y=82$

And put $y=82$ in equation (1)
$x=68$ and $y=82$
Number of boys are $68$