please check my answer.
average period if drawings are made in begnning of every six months is (12+6)/2= 9.
average period if drawings are made in middle of every six months is (9+3)/2=6.
average period if drawings are made in end of every six months is (6+0)/2=3.

Gargi, the answer carried out by you is not correct. Please go through the following link in order to understand the calculation of average period.
https://www.meritnation.com/ask-answer/question/pls-tell-the-formula-of-average-if-drawings-are-made-on-begi/accounting-for-partnership-basic-concepts/9675391

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