Question 69
A, B and C, working alone can do a piece of work in 12, 24 and 36 days respectively. They work together and get ₹3850 for completing the work. Whatis the difference in shares of B and C?
Solution
A = 12
B =24
C = 36
Lcm= 12,24,36=72=total work
Efficency = $$\frac {12}{72},\frac {24}{72},\frac {36}{72}$$
= 6 , 3, 2 respectively
So shares is distributed in the ratio of efficiency
B's share=$$\frac {3}{11}\times 3850$$ = 1050
Similarly C's share = $$\frac {2}{11}\times 3850$$ = 700
(B-C)'s shares = 350
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