Q. A person was appointed for a 50 days job on a condition that he will be paid ₹ 12 for every working day but he will be fined ₹ 6 for every day he remains absent. After the completion of the work, he got ₹ 420. For how many days. he did not work?
✅ Correct Answer: (C)
10 days
Explanation: Let the person did not work for x days.
It means that he worked for (50 - x) days.
∴ Find for being absent = ₹ 6x
Wages for working days = 12 (50 - x)
According to the question,
Received wages = 12(50 - x) - 6x = 420
⇒ 600 - 12x - 6x = 420
⇒ 18x = 600 - 420 = 180
∴ x = 180/18 = 10 days
Explanation by: Vikash Gupta
Let the person did not work for x days.
It means that he worked for (50 - x) days.
∴ Find for being absent = ₹ 6x
Wages for working days = 12 (50 - x)
According to the question,
Received wages = 12(50 - x) - 6x = 420
⇒ 600 - 12x - 6x = 420
⇒ 18x = 600 - 420 = 180
∴ x = 180/18 = 10 days
It means that he worked for (50 - x) days.
∴ Find for being absent = ₹ 6x
Wages for working days = 12 (50 - x)
According to the question,
Received wages = 12(50 - x) - 6x = 420
⇒ 600 - 12x - 6x = 420
⇒ 18x = 600 - 420 = 180
∴ x = 180/18 = 10 days