Question

A, working alone can make a
cabinet in 12 days. B will take 6
days more than A to do the same
work. A and B along with the help
of C completes it in 5 days. If they
are paid Rs. 9000 for the job, find
C's share.
a. Rs. 2750 b. Rs. 2500
c. Rs. 2250 d. None​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Rs. 2750

Step-by-step explanation:

A= 1/12; B= 1/18;

A+B+C = 1/5

(1/12)+(1/18)+1/C = 1/5

1/C = (1/5)-(1/12 + 1/18)

1/C = 11/180

This is C's one day work.

A:B:C = 1/12 : 1/18 : 11/180

This is one day work of three persons. We need workdone or efficiency of three persons for calculating wage distribution. Because more efficient person gets more share of the total amount.

For that we need same denominator. So take LCM of denominator and simplyfy.

= 1/12 : 1/18 : 11/180

= (15:10:11)/180. [LCM of 12, 18 and 180 is 180]

= Total ratio= (15+10+11)/180

= 36/180

C's share = 11/180

= [(11/180)÷(36/180)] × 9000

= (11/180) × (180/36) × 9000

= 2750

So, C gets RS. 2750