A, B and C enter into a partnership. They invest ₹\(40000\), ₹\(80000\) and ₹\(120000\), respectively. At the end of the first year, B withdraws ₹\(40000\) while at the end of the second year, C withdraws ₹\(80000\). In what ratio will the profit be shared at the end of \(3\) yr? A, B এবং C একটি অংশীদারি ব্যবসায় প্রবেশ করে। তারা যথাক্রমে ₹\(40000\), ₹\(80000\) এবং ₹\(120000\) বিনিয়োগ করে। প্রথম বছরের শেষে B ₹\(40000\) তুলে নেয় এবং দ্বিতীয় বছরের শেষে C ₹\(80000\) তুলে নেয়। \(3\) বছর শেষে লাভ কী অনুপাতে ভাগ হবে?

Profit sharing in partnership is proportional to \( \text{Capital} \times \text{Time} \).

For A:

\[ 40000 \times 3 = 120000 \]

For B:

First year investment:

\[ 80000 \times 1 = 80000 \]

After withdrawing ₹\(40000\), remaining investment = ₹\(40000\) for the next \(2\) yr:

\[ 40000 \times 2 = 80000 \]

Total for B:

\[ 80000 + 80000 = 160000 \]

For C:

First \(2\) yr investment:

\[ 120000 \times 2 = 240000 \]

After withdrawing ₹\(80000\), remaining investment = ₹\(40000\) for the last \(1\) yr:

\[ 40000 \times 1 = 40000 \]

Total for C:

\[ 240000 + 40000 = 280000 \]

Thus the ratio of profits:

\[ 120000 : 160000 : 280000 \]

Dividing by \(40000\):

\[ 3 : 4 : 7 \]

Correct Option: B