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

Question

Alice and Carl each completed a portion of a certain job. Alice completed 20% of the job while Carl completed the rest. If they were each paid the same amount, what proportion of her payment must Alice give to Carl so that they each are paid the amount of the total that is proportionate with the amount of work that they each performed?

A. 1/2

B. 2/3

C. 3/5

D. 3/4

E. 5/8

A. 1/2

B. 2/3

C. 3/5

D. 3/4

E. 5/8

firas92 · Answer

Let the total work be 100 units and the pay for each be $100

Alice's work = 20 units, Alice's pay = $100
Carl's work = 80 units, Carl's pay = $100

So Alice must receive 1/5 of 200 and Carl must receive 4/5 of 200

That is Alice's pay=40, Carl's pay=160

Therefore Alice must give Carl $60 out of her pay pf $100 to Carl

60/100 = 3/5

Answer is  (C)

Archit3110 · Answer

let total work done be 10 ; so work done by A= 2 and C=8
amount paid to A& C= 100
so amount which A needs to pay to C ; x 
100-x/100 = 1/4
x=75
so A needs to pay 75/100 ; 3/4 of her payment
IMO D

Vini07 · Answer

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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ScottTargetTestPrep · Answer

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

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