A labourer is engaged for 20 days on the condition that he will receive rs 120 for each day.

Question

he works and will be find rs 10 for each day he is absent.if he receives rs 1880 in all.for how many days did he remsin 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 .