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 ev… — Answer & Discussion

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?

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Discussion 1

CCommunity19 Jun 2019

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.