a man was engaged on a job for 30 days on the condition that he would get a salary of rs. 100 for the day he works, but he has to pay a fine of rs. 80 for each day of his absence. if he gets rs. 2,100 at the end, how many days was he absent for?
a man was engaged on a job for 30 days on the condition that he would get a salary of rs. 100 for the day he works, but he has to pay a fine of rs. 80 for each day of his absence. if he gets rs. 2,100 at the end, how many days was he absent for?
Answer: Let’s assume the man was absent for ‘x’ days.
Since he worked for 30 days, he was absent for (30 - x) days.
Given that he received Rs. 100 for each day he worked and had to pay a fine of Rs. 80 for each day he was absent, we can set up the following equation:
100(30-x) - 80x = 2100
Simplifying the equation, we get:
3000 - 100x - 80x = 2100
180x = 900
x = 5
Since the number of days absent must be a whole number, we round up to get:
x = 5
Therefore, the man was absent for 5 days.
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