Alice and Carl each completed a portion of a certain job. Alice comple

Let the total amount be Rs 100
Thus, both A and B has been Rs 50 each.
Ratio of work done by A and B is 20:80=1:4.
Thus amount that should have been received as per work done by A is 1/5*100=Rs 20
But received actual amount received by A(alice) is Rs 50 that is Rs 30 more than Rs 20 and should give Rs 30 to B (carl)
Thus proportion of amount that slice must give to Carl is 30/50 =3/5
Option C

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Assuming Alice and Carl work at the same rate, we can let the total number of hours spent on the job be 10 and the total amount of money paid for the job be $100. Thus, Alice and Carl spent 2 hours and 8 hours, respectively, on the job, and each was paid $50. If the amount paid to each is proportionate with the amount of work that they each performed, Alice should get $20 and Carl $80. Therefore, Alice should give $30 to Carl, which is 3/5 of the amount she was originally paid.

Alternate Solution:

Since Alice completed 20% of the job and Carl completed 100 - 20 = 80% of the job, Carl has actually worked 4 times as much as Alice. If that is hard to see, we can think of the job to be washing 100 dishes; in which case Alice washes 20 dishes while Carl washes 80 dishes, which is exactly 4 times the numberof dishes Alice washes.

Let x be the amount of money each was paid. Let t be the amount of money Alice must give to Carl so that the amount they receive is proportional to the work they perform; i.e. so that Carl earns 4 times as much as Alice. After the transaction, Alice will have x - t and Carl will have x + t and we want x + t to be 4 times as much as x - t. We have:

x + t = 4(x - t).

x + t = 4x - 4t

5t = 3x

t = (3/5)x

We see that Alice must give 3/5 of the money she received to Carl so that each receives a payment proportional to the work performed.

Answer: C