Question

A labourer is engaged for 20 days on the condition that he will receive Rs 60 for each day, he works and he will be fined Rs 5 for each day, he is absent. If he receives Rs 745 in all, for how many days he remained absent?

Answer 1

Let the number of days for which the labourer is absent be x . 
Therefore, the number of days for which he is present will be (20 - x) . 
∴ Earnings = Rs . 60(20 - x)
 Fine = Rs . 5x
According to the question, 
60(20 - x) - 5x = 745
or 1200 - 60x - 5x = 745
or 65x = 1200 - 745
or\[ x = \frac{455}{65} = 7\]
Thus, the labourer was absent for 7 days.