Question 1112673
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A worker is employed to work for 30 days at the rate of Rs 120 per day. 
If he is absent on a particular day he loses Rs 30. 
The worker earns total of Rs 2700 for that period. For how many days was the worker absent?
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            The solution by @mananth is incorrect and illogical.

            I came to bring a correct solution.



<pre>
Let x be the number of days, when worker really worked,
and let y be the number of days, when he was absent.


Write a system of two equations as you read the problem.

       x +   y =   30      (1)
    120x - 30y = 2700      (2)


From equation (1), express x = 30-y  and  substitute it into equation (2), replacing x there.
You will get

    120*(30-y) - 30y = 2700.


Simplify and find y

    3600 - 120y - 30y = 2700

    3600 - 2700 = 120y + 30y

        900     =     150y

          y     =     900/150 = 6.


<U>ANSWER</U>.  The worker was absent 6 days.


<U>CHECK</U>.  Check the total money he got  120*(30-6) - 30*6 = 2700.    ! Correct !
</pre>

Solved (correctly).


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Ignore the post by @manabth.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This problem is of that kind where a student learns the basics - - - 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- - - therefore, &nbsp;it should be taught flawlessly.