A company hired an accountant and 8 office assistants to do a certain job. The daily wages for the accountant in 4 times more than that of an office assistant. If the company paid a total of Tk. m for the work, what was the payment received by the accountant?

Question: A company hired an accountant and 8 office assistants to do a certain job. The daily wages for the accountant is 4 times more than that of an office assistant. If the company paid a total of Tk. m for the work, what was the payment received by the accountant?

Solution:
Let the daily wage of an office assistant be a.
Then, the daily wage of the accountant = 4a.

There are 8 office assistants, so total daily wages of assistants = 8a.
Total daily wage of all workers = 4a + 8a = 12a.

Let all of them work for d days.
So, total payment = 12ad = m.

From this,
ad = m/12

Now, the total payment received by the accountant =
daily wage × number of days = 4a × d = 4ad

Substitute value of ad:
= 4 × (m/12)
= m/3