Question

A daily wage labourer was engaged for a certain number of days for rs 5750 but being absent on some of those days he was paid only rs 5000. what was his maximum possible daily wage?

Answer 1

Let x = daily wage

a1 = No. of days he is expected to work

a2 = No. of days he actually worked

Wages for the No. of days he was expected to work = 5750

So, 

a1x = 5750 ----- (i)

Wages for the days he worked = 5000

So,

a2x = 5000 ----- (ii)

From (i)

x = 5750/a1

Substitute this in (ii)

a2(5750/a1) = 5000

a2/a1 = 20/23

From this we can see that he was supposed to work for 23 days but he worked for only 20 days.

Maximum possible daily wage = 5750/23 = Rs. 250

Or

                                                = 5000/20 = Rs. 250