Question

A labourer is engaged for 20 days on the condition that he will receive 120rupees each day and will be fined rupees10 each day if he is absent .If he receives 1880 how many days was he absent?

Answer 1

Labourer is engaged for 20 days
Pay for each day is rs 120 .
If the labour is absent then rs 10 will be debited .

He receives rs 1880

Let the number of days present is x .

So the number of days absent is 20 - x

[since the agreement is for 20 days ]

The payment = (number of days present * pay for each day ) - ( number of days absent * pay for each absent )

The payment = (x * 120) - ( (20 - x)*10)

= 120x - (200 -10x)
= 120x - 200 + 10x
= 130x - 200
The payment he received is 1880 .

1880 = 130x - 200
130x = 1880 + 200
130x = 2080
x = 2080/130
x = 16
Number of days worked is 16 .
So number of days absent is 20 - 16 = 4 .