A, B can dig a well in 10 days and 12 days respectively. If Rs.11 is for total work what is A share.

$\par&space;A's&space;one&space;day's&space;work&space;=$  $\frac{1}{10}$

$\par&space;B's&space;one&space;day's&space;work&space;=$  $\frac{1}{12}$

$\par&space;Ratio&space;of&space;(A+B)'s&space;one&space;day&space;work&space;=$  $\frac{1}{10}&space;:&space;\frac{1}{12}&space;=&space;6&space;:&space;5$

$\par&space;Amount&space;should&space;be&space;shared&space;in&space;6&space;:&space;5&space;ratio$

$\par&space;A's&space;share&space;=$  $\frac{6}{11}&space;\times&space;11$ $\par&space;=&space;Rs.&space;6$