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

Solution :

Given :

per day payment = Rs 500

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, maximum number of days in February is 29]

Total paid amount for working days

= Rs 500x

and

per day deduction when he remained absent = Rs 100

Total amount deducted for being absent

= Rs 100 × (29-x)

Given

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

According to the question,

500x - 100×(29-x) = 9100

$\implies$ 500x - 2900 + 100x = 9100

$\implies$ 600x = 9100 + 2900

$\implies$ 600x = 12000

$\implies$ x = 12000 ÷ 600

$\implies$ x = 20

$\therefore$ x = 20

Hence,

The man worked for 20 days

Answer 2

1) A man engaged as typist to the month of February in 2016 he was paid rs 500/day but rs100 deducted for the day he remained absent.he received rs 9100 as salary for a month .find out how many days did he work ?

Solution

2016 is a leap year so February month =29 days

Let the absent days is =x

Then present days=29-x

He paid for present=500/day

Absent rs deducted is= 100*x=100x

He received 9100 for a month

So we got the equation

500(29-x)-100x=9100

14500-500x-100x=9100

-600x=9100-14500

-600x=-5400

Minus cancel from both side

600x=5400

x=5400/600

x=9

Absent days =9days

Present days=29-9

                         =20 days