Question

A worker is employed on the condition that he will be paid Rs 60 for each day that he works and fined Rs 20 for each day that he remains absent. If he is paid Rs 1000 for the month of September, find the number of days that he worked.

Answer 1

Let working days be x and non-working days be y.
x + y = 30
y = 30 - x........(i)
Also given, amount paid to him = Rs.1000
60x - 20y = 1000
⇒ 3x - y = 50.....(ii)
Substituting (i)  in (ii)
3x - (30 - x) = 50
⇒ 3x - 30 + x = 50
⇒ 4x = 80
⇒ x = 20
Working days = 20.