- 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?
(1) Rs.520 (2) Rs.1080 (3) Rs.1170 (4) Rs.630
Solution:
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 1/6 th of the work in a day.
Similarly, B will complete 1/8 th and C will complete 1/12 th of the work.
So, the ratio of the work done by A : B : C when they work together will be equal to 1/6 : 1/8 : 1/12
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 get24/6 : 24/8 : 24/12 = 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 2/9 * 2340= Rs.520.
