A labourer is engaged for 20 days on the condition that he will receive Rs 60 for each day,

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?

Solution:

Let the number of days for which the labour er is absent be $\mathrm{x}$.

Therefore, the number of days for which he is present will be $(20-x)$.

$\therefore$ Earnings $=$ Rs. $60(20-\mathrm{x})$

Fine $=$ Rs. $5 \mathrm{x}$

According to the question,

$60(20-\mathrm{x})-5 \mathrm{x}=745$

or $1200-60 \mathrm{x}-5 \mathrm{x}=745$

or $65 \mathrm{x}=1200-745$

or $\mathrm{x}=\frac{455}{65}=7$

Thus, the labourer was absent for 7 days.

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