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Standard XII

Mathematics

Law of Reciprocal

A laboured wa...

Question

A laboured was 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 received Rs. $745$ in all, then what is the number of days he was absent ?

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Solution

The correct option is A $7$
Let the number of days for which the laboured worked be $x$
Then the number of days he was absent are $(20 - x)$
According to given condition, we have
$60 \times x - (5) (20 - x) = 745$
$\Rightarrow 60 x - 100 + 5 x = 745$
$\Rightarrow 65 x = 845$
$\Rightarrow x = 13$
The labourer was absent for $(20 - 13) = 7$ days

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A laboured was 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 received Rs. 745 in all, then what is the number of days he was absent ?

The correct option is A 7Let the number of days for which the laboured worked be xThen the number of days he was absent are (20−x) According to given condition, we have60×x−(5)(20−x)=745⇒60x−100+5x=745⇒65x=845⇒x=13The labourer was absent for (20−13)=7 days

A laboured was 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 received Rs. $745$ in all, then what is the number of days he was absent ?