Question

A supplies $20$ men who work for $8$ hrs. a day working for $6$ days. $B$ supplies $15$ men working at $9$ hrs. a day for $7$ days and $C$ supplies $10$ men working $6$ hrs. a day for $8$ days to do a certain job. If Rs. $636$ is paid for all labour, what is $C^{\prime }s$ share?

• A. $130$
• B. $125$
• C. $128$
• D. $135$

Answer 1

The correct option is C $128$

Man hours supplied by $A=20\times 8\times 6$
Man hours supplied by $B=15\times 7\times 9$
Man hours supplied by $C=10\times 6\times 8$
$\therefore$ Ratio of their shares $=(20\times 8\times 6):(15\times 7\times 9):(10\times 6\times 8)$
$=64:63:32$
$\therefore C^{\prime }sshare=\frac{32}{159}\times 636=Rs.128$.