Question

5. A and B can complete a job in 30 days and 20 days
respectively. They complete it with the help of C in 10
days. A total of Rs. 1200 was paid to them. Find C's
wages (in Rs.).
(1) 150 (2) 200 (3) 100 (4) 250​

Answer 1

Step-by-step explanation:

A.T.Q,

A completes the work in 30 days.so,A does 1/30 part of the work in one day

similarly,B does 1/20 part of the work in one day

now given that,when A ,B and C does the work together,they complete it in 10 days.so,they does 1/10 part of the work in one day.

now, A +B +C = 1/10(one day work)

1/30 + 1/20 +C = 1/10

2/60 + 3/60 + C = 1/10

C = 1/10 - 1/12

C = 2/120

C = 1/60

therefore,C takes 60 days to finish the work.

then, C's wage = 1200÷6= 200Rs

A's wage = 400

B = 600

total wage is 1200

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