Question

$76ladies$complete a job in $33days$. Due to some reason, some ladies did not join the work and therefore it was completed in $44days$. The number of ladies who did not report for the work is

• A. $17$
• B. $18$
• C. $19$
• D. $20$

Answer 1

The correct option is C

$19$

According to the question,

Let $n$number of ladies who did not report for work

No. of ladies	Work	No. of days to complete work
$76$	$1$	$33$
$(76-n)$	$1$	$44$

$(76-n)$ is the number of ladies who reported to work.

we can see from the above table, As the number of ladies decreased reporting to work the number of days to complete the same work increased. So it is an inverse relation. Therefore, it can be written as

$\frac{76}{76-n}=\frac{44}{33}$ ( Showing Inverse relation)

$76\times 33=44\times \left(76-n\right)$

$2508=3344-44n$

$2508+44n=3344$

$44n=3344-2508$

$44n=836$

$n=\frac{836}{44}$

$n=19$

So, the number of ladies who did not report for work is $19$

Hence, the correct option is $\left(c\right)$.