A) Rs. 75
B) Rs. 90
C) Rs. 110
D) Rs. 85
Correct Answer: A
Solution :
(a): A, B, C can do (alone) work in 6 days, 8 days, & x days (assume) respectively. \[\therefore \] Together, they will do it in \[\frac{1}{\frac{1}{6}+\frac{1}{8}+\frac{1}{x}}\]=days. Now, \[\frac{1}{\frac{1}{6}+\frac{1}{8}+\frac{1}{x}}=3\] \[\Rightarrow \frac{1}{6}+\frac{1}{8}+\frac{1}{x}=\frac{1}{3}\]. \[\Rightarrow \frac{1}{x}=\frac{1}{3}-\frac{1}{6}-\frac{1}{8}=\frac{1}{24}\Rightarrow x=24\]days. Efficiency ratio of A : B : C \[=\frac{1}{6}:\frac{1}{8}:\frac{1}{24}=4:3:1\] Share of C \[=\frac{1}{4+3+1}\times 600=Rs75/-\]You need to login to perform this action.
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