Question

A daily wage worker works for 23 days in a month.
He gets 400 per working day. However, his
supervisor is very strict and
fines him 100 for each day
he arrives late to work. If at
the end of the 23 days, the
worker has earned 8000,
find out the number of days
he reached for work on time
and the number of days
he was late.
​

Answer 1

Answer:

let he come to work on time for X days

he come late to work for Y days

tottal no. of working days is 23

so,

X+Y=23

y=23-x

his 1day pay is 400

his Xdays pay is 400x

his 1day late fine is 100

so he get wage when he late 400-100=300

his ydays wages = 300y

tottal money earned is 8000

so,

400x+300y=8000

on putting value of y=23-x

we get,

400x+300(23-x)=8000

400x+6900-300x=8000

100x=1100

x=11

y=23-x

y=23-11=12

hence the no. he reached for work on time is 11

the no. of days he was late is 12

.........666......