A person was appointed for a 50 days job on a condition that he will be paid Rs. 12 for every working day but he will be fined Rs. 6 for every day he remains absent. After the completion of the work, he got Rs. 420. For how many days, he did not work?
Let the person did not work for x days. It means that he worked for (50 - x) days.
∴ Fine for being absent = Rs. 6x
Wages for working days = Rs 12 (50 - x)
Now, according to the question,
Received wages = Rs 12 (50 - x) – 6x = Rs 420
⇒ 600 – 12x – 6x = 420
⇒ 18x = 600 – 420 = 180
$(\therefore x = \frac{{180}}{{18}} = 10\ days)$
Hence, the required number of days is 10.