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Question

A labourer was engaged for 30 days on the condition that he will get Rs 60 for each day he works and will be fined Rs10 for each day he is absent. If he gets Rs1,700 at the end of the month, for how many days did he remain absent?

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Solution

Let number of days labourer did work =xdays
Then number of days he was absent =(30x)days
Amount for days he worked =60x
Amount cut for days he was absent =10(30x)=30010x
According to the question,
60x(30010x)=1700
60x300+10x=1700
50x300=1700
50x=1400
x=140050
x=28days
Absent days =3028=2days
A labourer remain absent for 2days.

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