When equal amounts are withdrawn at the middle of every month throughout the year, the interest on partner's drawings are charged for how many months on average period basis?

6

The correct answer is option 2- 6.

When the amount is withdrawn at the middle of each month
Ist drawing = 15 April so months left after it was 11.5 months
Last drawing = 15 March so months left after it was 0.5 month
Average Period = (No. of months left after 1 drawings + No. of months left after last drawings)/2
                      = (11.5+0.5)/ 2
                      = 6 months

Average period is calculated for calculating interest on drawings and the average period depends on the timing of withdrawal.
The formula for calculating the average period is = (Months left after Ist drawing + Months left after last drawing) / 2
After calculating the average period interest on drawings is calculated. The formula for calculating interest on drawing is = Total drawings X (Rate of interest/100) X (Average period/12).