Babla alone can do a piece of work in 10 days . Ashu alone can do it in 15 days. The total wages for the work is Rs.5000 . How much should Babla be paid if they work together for entire duration of the work

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Question

Babla alone can do a piece of work in 10 days . Ashu alone can do it in 15 days. The total wages for the work is Rs.5000. How much should Babla be paid if they work together for entire duration of the work .

     a)4000

     b)3000

     c)5000

     d)2000

Solution

Babla alone can do work in 10 days
In 1 day , Babla can do 1/10 of work

Ashu alone can do work in 15 days
In 1 day , Ashu can do 1/15 of work

Ratio of Babla & Ashu work for 1 day = (1/10)/(1/15)
                                     = 15/10
                                     = 3/2
Total wage of their work = 5000
As Babla & Ashu ratio = 3/2 , so Babla work is 3x & Ashu work is 2x.
3x + 2x =5000
5x=5000
x=1000
Babla=3x = 3*1000 = 3000