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A B and C can do a piece of work i. 8 9 10 days respectively. They all work together and completed a job that fetched rs 3630.
Find the share of each
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Their rates of work are :
A: of the job per day;
B: of the job per day;
C: of the job per day.
If they completed the job in "t" days, then
+ + = 1, or
+ + = 1, or
= 1, which implies = 1, or t = days.
It means that A made = part of the entire job,
B made = part of the entire job, and
C made = part of the entire job.
Now notice that 242 = , so every part of the job costs = 15 rupees.
It means that A should obtain 15*90 = 1350 rupees,
B should obtain 15*80 = 1200 rupees, and
C should obtain 15*72 = 1080 rupees.
Easy check: 1350 + 1200 + 1080 = 3630 rs. ! Correct !
Solved.