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?

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#### 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.

Is there an error in this question or solution?

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