A Band C can complete a job in 15 days. 20 days and 30 days, respectively. If they earn 270 together, then the share of Bis:

Correct option is A

Given:

A complete the work = 15 days

B complete the work = 20 days

C complete the work = 30 days

they earn together =Rs. 270

Formula used:

total work done = number of days $$\times$$ efficiency

Solution:

let total work done = 60 units 

we take 60 = total work done because 60 is lcm of 15 ,20 and 30 

efficiency of A = total work done \number of days to complete the work 

= 60 \ 15 = 4

efficiency of B = 60 \20 =3 

efficiency of C =60  \30 =2

so all work  together then the ratio of money  is same as their ratio of efficiency = A:B:C

                                                                                                                                 = 4:3:2

share of B = $$\frac{270}{4+3+2}\times3$$

                  = Rs .90