Latest IBM Aptitude Question SOLUTION: A, B and C, each of them working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn Rs.2340, what ill be C’s

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(#M40005456) IBM Numerical Ability question Ratio and proportion Keep an EYE

A, B and C, each of them working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn Rs.2340, what ill be C’s share of the earnings?

Asked In IBM (13 years ago)

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Praveen Kumar  (11 years ago)

A, B and C will share the amount of Rs. 2340 in the ratio of the amounts of work done by them.

As A takes 6 days to complete the job, if A works alone, A will be able to complete th of the work in a day.

Similarly, B will complete and C will complete of the work.

So, the ratio of the work done by A : B : C when they work together will be equal to

Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.
We get = 4 : 3 : 2.
i.e., the ratio in which A: B : C will share Rs.2340 will be 4 : 3 : 2.

Hence, C’s share will be = Rs.520.

Is this solution Helpfull? Yes (12) | No   

Anil Kumar Bharti  (11 years ago)

Ans: Share of c=520

Is this solution Helpfull? Yes (7) | No   

priya mittal  (8 years ago)

work done together= (1/6)+(1/8)+(1/12) =3/8
C's share = [(1/12)/(3/8)]*2340 =520

Is this solution Helpfull? Yes (5) | No   

prawin kumar singh  (11 years ago)

share of c is 1560

Is this solution Helpfull? Yes (3) | No (13)  

priya  (9 years ago)

A, B and C will share the amount of Rs. 2340 in the ratio of the amounts of work done by them.

As A takes 6 days to complete the job, if A works alone, A will be able to complete th of the work in a day.

Similarly, B will complete and C will complete of the work.

So, the ratio of the work done by A : B : C when they work together will be equal to

Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.
We get = 4 : 3 : 2.
i.e., the ratio in which A: B : C will share Rs.2340 will be 4 : 3 : 2.

Hence, C’s share will be = Rs.520.

Is this solution Helpfull? Yes (1) | No   

Rahul bansal  (8 years ago)

1.d(576.89) is ans.

Is this solution Helpfull? Yes (1) | No (3)  

muthulakshmi  (9 years ago)

A one day work=1/4
B one day work=1/3
C one day work=1/2
work together=(1/4)+(1/3)+(1/2)=(3/12)+(4/12)+(6/12)
C share = (6/13)*2340 = 1080

Is this solution Helpfull? Yes | No (9)  

LAKSHMI JANAPRIYA MADDUKURI  (5 years ago)

given A=1/6
B=1/8
c=1/12
all together=2340,then
A=2340/6=390
B=2340/8=292.5
c=2340/12=195
A+B+C=390+292.5+195=877.5
now
together/A+B+C=2340/877.5
=2.66667
for c only
c=195
195*2.66667=520

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