Question

A man was engaged as typist for the month of February in 2009. He was paid ₹500 per day, but ₹100 per day were deducted for the days he remained absent. He received ₹9200 as salary for the month. For how many days did he work?

Answer 1

Answer:

Let :-

Money paid for present days = P

Money deducted for absent days = A

Given :-

Money paid for present day = ₹ 500

Money deducted for absent day = ₹ 100

Monthly salary received by the man = ₹ 9200

Solution :-

To calculate the no of days he work, at first we have to set up equation. Then calculate the value of P and A by solving equations.

Calculation begins :-

⇒ Present days + Absent days = Months of February

⇒ P + A = 28----------(i)

⇒ Money received for present days - Money deducted for absent days = Months of the salary of the man.

⇒ 500(P) - 100(A) = 9200

⇒ 500P - 100A = 9200-------(ii)

Now multiplying by 500 in eq (I) then subtract :-]

⇒ 500P + 500A = 14000

⇒ 500P - 100A = 9200

By solving we get here :-]

⇒ 600A = 4800 ⇒ 6A = 48 ⇒ A = 8

Putting the value of A = 8 in eq (i) :-]

⇒ P + A = 28

⇒ P + 8 = 28

⇒ P = 28 - 8

⇒ P = 20

Hence,

The man work in the month of February = 20 days

hope helps you :)