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
Totle number of days = 20
Let of days he worked = x
Then number of days he remained absent = 20 - x
According to the condition:
x × 60 - (20 - x) × 5 = 745
⇒ 60x = 745 + 5x = 745
⇒ 65x = 745 + 100 = 845
$\Rightarrow\text{x}=\frac{845}{65}=13$
$\therefore$ Number of days he worked = 13days
and number of days he remained absent = 20 - 13 = 7days.
Let of days he worked = x
Then number of days he remained absent = 20 - x
According to the condition:
x × 60 - (20 - x) × 5 = 745
⇒ 60x = 745 + 5x = 745
⇒ 65x = 745 + 100 = 845
$\Rightarrow\text{x}=\frac{845}{65}=13$
$\therefore$ Number of days he worked = 13days
and number of days he remained absent = 20 - 13 = 7days.
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