. An individual was employed on the condition that he will get Rs.150 for the day he works and will be fined Rs. 25 for the day he is absent. after two months, he got Rs. 7,600 only. for how many days did he work?
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2 months = 30+30=60 days.
assume number of days he works= X
number of days he is absent = Y
now
X + Y = 60 (total days ). ------(equation 1)
also he got total money= 7600 rs
money he get s for one working day= 150
money for X working days = 150 X
similarly fine behad to pay for Y days(absent)= 25Y
150X - 25Y = 7600 ( equation. ------2)
multiplying equation 1 with 25
25X + 25Y = 60×25
25X + 25Y= 1500. (equation -----3)
equation 2 + equation 3
175 X = 9100
X= 9100÷175
X =52
number of days he work = 52
number of days he was absent = 60-52=8
assume number of days he works= X
number of days he is absent = Y
now
X + Y = 60 (total days ). ------(equation 1)
also he got total money= 7600 rs
money he get s for one working day= 150
money for X working days = 150 X
similarly fine behad to pay for Y days(absent)= 25Y
150X - 25Y = 7600 ( equation. ------2)
multiplying equation 1 with 25
25X + 25Y = 60×25
25X + 25Y= 1500. (equation -----3)
equation 2 + equation 3
175 X = 9100
X= 9100÷175
X =52
number of days he work = 52
number of days he was absent = 60-52=8
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