SOLUTION: 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 h

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Question 1112673: 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?
Found 5 solutions by mananth, ikleyn, josgarithmetic, greenestamps, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
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?
30 days worked 30*120 = 3600
He earned 2700
3600-2700= 900
He gets 120-30 =90 on an absent day
900/90 = 10 days absent
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~


            The solution by @mananth is incorrect and illogical.
            I came to bring a correct solution. 


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.


ANSWER.  The worker was absent 6 days.


CHECK.  Check the total money he got  120*(30-6) - 30*6 = 2700.    ! Correct !

Solved (correctly).

------------------

Ignore the post by @manabth.


        This problem is of that kind where a student learns the basics - - -
                - - - therefore,  it should be taught flawlessly.




Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Expect 30 days of work at Rs 120 per day;
expect to lose Rs 30 per day of skipped work;
Amount Earnings Rs 2700

If worked all 30 day, then of Rs units.
If work is skipped, the skipping REMOVES Rs 30 from any that has been earned.

n, number of days not work (for the penalty Rs 30)
y, number of days did work (for earning)

-

-
total number of days for possible work in the period, 30;




Question asks for n, so ...
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The total pay if he worked all 30 days at Rs 120 per day would be Rs 3600.

On each day of work he misses, he does not get the Rs 120 for that day, AND he loses Rs 30 as a penalty. So for each day he misses work, his total pay goes down by Rs 150.

His pay for the 30 days was Rs 2700, which is Rs 900 less than he would have made working all 30 days.

So the number of days of work he missed was 900/150 = 6.

ANSWER: He missed work 6 days
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
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?

Yes, yes, yes.....HIGHLY ILLOGICAL! How can someone, when ABSENT on certain days, be making money on those days. Unless, of course,
it's an employee who may get paid while out. But, that's another story. This is definitely NOT the case here, and doesn't apply
here! Plus, it's clearly stated that he's employed to WORK for 30 days, hence CONTRACT! 

Let number of days absent be A
Then number of days present = 30 - A
With him losing Rs 30 per day, when absent, he then loses a total of - 30A 
With him receiving Rs 120 per day, when present, he earns 120(30 - A), or 3,600 - 120A
Since total earnings were Rs 2,700, we get: - 30A + 3,600 - 120A = 2,700
                                                    - 30A - 120A = 2,700 - 3,600 
                                                          - 150A = - 900
                               Number of days absent, or

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