Question

A man was engaged on a job for N days on the condition that he would get a wage of Rs. X for the day he works, but he has to pay a fine of Rs. Y for each day of his absence. If he gets Rs. M at the end, he was absent for work for ... days.

Answer 1

Answer:

He was Absent for [(AX - M)/Y] days.

where 'A' is the number of days worked, 'X' is the Wage gotten per day, 'M' is the wage received after N days, and 'Y' is Fine per day.

Step-by-step explanation:

We are given that,

N is the total number of days allowed to work.

Let the man work for 'A' number of days,

Then, he must be absent for (N - A) days.

Now,

Wage got of working per day = Rs.X

So,

For A days, wages = A × X

= Rs.AX

Also,

Fine given for absence per day = Rs.Y

So,

For (N - A) days, fine = Rs.Y(N - A)

Now, according to the Question,

Wages - Fine = Rs.M

AX - Y(N - A) = M

AX - M = Y(N - A)

(N - A) = (AX - M)/Y

Days Absent = (AX - M)/Y

Hence,

He was Absent for [(AX - M)/Y] days.

where 'A' is the number of days worked, 'X' is the Wage gotten per day, 'M' is the wage received after N days, and 'Y' is Fine per day.

Hope it helped and believing you understood it....All the best