A man was allotted a work for 30 days on the condition that he would get ₹10 per day as wage if he reports for work and if he remains absent he would have to pay ₹2 as penalty for the day. Ultimately he got ₹216. For how many days he remained absent ?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 7
On a day he works he gains ₹10, and on a day he is absent he loses ₹2.
Assuming he was absent for \(a\) days:
Days worked: \(30-a\)
Wages earned minus penalties paid is the ₹216 he got: \(10(30-a)-2a=216\)
\(300-12a=216\), so \(12a=84\) and \(a=7\)
Shortcut:
Had he worked all 30 days, he would have got ₹300.
Each absent day costs him \(10+2=12\) rupees (the wage lost and the penalty paid).
He got ₹84 less, so he was absent for \(84\div12=7\) days.