two men under took to do a work for ruppes 400, one along can do a work in 6 days ,. other in 8 days , with the help of a boy they finish it in 3 days ,the boy share is
what's is the boys share
Answers
Step-by-step explanation:
Share of A = Rs 199.8.
Share of B = Rs 150.
Share of C = Rs 50.19.
Step-by-step explanation:
Given : Two men undertake to do a piece of work for rs.400. one alone can do it in 6 days, the other in 8 days. with the help of a boy, they finish it in 3 days.
To find : The boy's share is?
Solution :
Let A,B and C be the boys working.
We have given A+B can do work in Rs.400
A alone do work in 6 days.
Earning of A per day is
A= 400 / 6 = 200 / 3 =66.6
B alone do work in 8 days.
Earning of B per day is
A= 400 /8 =50
So including the condition of C,
(A + B + C ) × 3 = 400(A+B+C)×3=400
(66.6 + 50 + C )× 3 = 400(66.6+50+C)×3=400
116.6× 3+3C = 400116.6×3+3C=400
349.8+3C = 400349.8+3C=400
3C =50.23C=50.2
C =16.73C=16.73
For 3 days work,
Share of A = 3(66.6) = Rs 199.8.
Share of B = 3(50) = Rs 150.
Share of C = 3(16.73) = Rs 50.19.
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