Question

A worker is employed to work for $30$ days at RS.$120$ per day. If he is absent on a particular day he loses RS.$30$. The worker earns a total amount of RS. $2700$ for that period. For how many days was the worker absent?

• A. $3$
• B. $5$
• C. $8$
• D. $6$

Answer 1

Answer: (D)

$6$

Let the worker worked for $x$ days.

He was absent for $30-x$ days.

$\therefore 120x-(30-x)\left(30\right)=2700$

$120x+30x-900=2700$

$150x=3600$

$x=\frac{3600}{150}=\frac{360}{15}=24$

The worker was absent for $6$ days