Question

A man was engaged as typist for the month of February in 2009. He was paid Rs. 500 per day but Rs. 100 per day were deducted for the days he remained absent. He received Rs. 9,100 as salary for the month. For how many days did he work?

Answer 1

Let the man worked as a typist for x days in the month of February 2009.

Then, absent in the month of February 2009 = (29 – x) days  ...[We know that, number of days in month of February 2009 is 29]

Per day payment = ₹ 500  ...[Given]

Total paid amount for working days = ₹ 500x

And per day deduction, when he remained absent = ₹ 100  ...[Given]

Total amount deducted for being absent = ₹ 100 × (29 – x)

Given, salary received by man for the month of February is ₹ 9100.

According to the question,

500x – 100(29 – x) = 9100

⇒ 500x – 2900 + 100x = 9100

⇒ 600x = 9100 + 2900

⇒ 600x = 12000

⇒ x = `12000/600`

∴ x = 20

Therefore, the man worked for 20 days.