A can do the job in 12 days but B is 60% more efficient , that means that B can do it in less days.....how much ? let's find out...

Proper logic ::

Since B's efficiency is relative to A , consider B's no. of days to be "x"

1 day work of B = 1/x , 1 day work of A = 1/12

So, according to the question, The efficiency of B is =>

( ( (1/x)-(1/12) )/ (1/12) ) * 100 = 60 (Since B is 60% more efficient than A)

This would become => ( (12-x)/x)=0.6 => 1.6x = 12 => x= 7.5 days

7.5 days is the correct answer

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{1/12×160/100}=160/1200when devide 80 to=2/15