arithmetic - in a partnership a invests 16 of the capital for 16 of the time b invests 13 of the capital for 13 of the time and c the rest of the capital for the whole time out of a profit of rs 4600 bs share is - skillgun

Suppose A invests Rs. x/6 for y/6 months. Then, B invests Rs.
x/3 for y/3 months.
C invests [x - x/6 x x/3] i.e., Rs. x/2 for y months.
A : B : C = x/6 x y/6 : x/3 x y/3 : x/2 x y = 1/36 : 1/9 : 1/2 = 1 : 4 : 18.
Hence, B's share = Rs. 4600 x 4/23 = Rs. 800.