Question

A labourer was engaged for $30$ days on the condition that he will be paid Rs. $35$ for each day he works and will be fined Rs. $10$ for each day he is absent. He earned Rs. $735$ in total. Find how many days did he work?

• A. $21$
• B. $22$
• C. $25$
• D. $23$

Answer 1

Answer: (D)

$23$

Let the number of days he worked be x. Then
$x\times 35-10(30-x)=735$
or $35x-300+10x=735$
or $45x=735+300$
or $x=\frac{1035}{45}=23$
$\therefore x=23days$