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, - Mathematics

Numerical

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?

Advertisement Remove all ads

Solution

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.