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. 9100 as salary for the month. For how many days did he work? ​

Answer 1

Given :

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. 9100 as salary for the month. For how many days did he work?

To Find :

• find the no. of days he present

Solution:

Number of days in February in 2009 = 28

He was paid per day = Rs.500

Rs. 100 per day were deducted for the days he remained absent.

Let x be the no. of the days he present

So, 28-x are the number of days he was absent

So Amount deducted for x days = 100 ( 28-x )

Amount earned for x days = 500x

We are given that He received Rs. 9100 as salary

So, 500x - 100 × ( 28 - x ) = 9100

500x - 2800 + 100x = 9100

600x - 2800 = 9100

600x = 9100 + 2800

600x = 11900

x = 11900 / 600

x = 19.83 [ approx 20 days ]

• So, He was present for 20 days

Answer 2

Given :

Per day payment = Rs 500

To Find :

The number of days he worked.

Solution :

Consider the :

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

So,

Absent in the month of February 2009 = (29-x) days

°•° Maximum number of days in February is 29

Hence,

• Total paid amount for working days,

⟹ Rs 500x

&

• Per day deduction when he remained absent = Rs 100

Total amount deducted for being absent

⟹ Rs 100 × (29-x)

As Given,

The salary received by man for thee month of February is Rs 9100

According to the question,

⟹ 500x - 100 × (29-x) = 9100

⟹ 500x - 2900 + 100x = 9100

⟹ 600x = 9100 + 2900

⟹ 600x = 12000

⟹ x = 12000/600

⟹ x = 20

∴ x = 20

Hence,

The man worked for 20 days.