Question

A labourer is engaged for 20 days on the condition that he will receive 120 for each day he works and will be fined 10 for each day he is absent. If he receives 1880 in all, for how many days did he remain absent?

Answer 1

$\begin{array}{l}\text{Let}\mathit{\text{x}}\text{be the number of days of his absence.}\\ \therefore \text{Number of days of his presence =}(\text{2}0-x)\\ \text{Now,}(\text{2}0-x)\text{12}0-\text{1}0x=\text{188}0\\ \Rightarrow \text{24}00-\text{12}0x-\text{1}0x=\text{188}0\\ \Rightarrow \text{24}00-\text{188}0=\text{13}0x\\ \Rightarrow 130x=520\\ \Rightarrow \mathit{\text{x}}=\text{4}\\ \therefore \text{Number of days of his absence}=\text{4}\end{array}$