A and B started a business by investing ₹\(35000\) and ₹\(20000\) respectively. After \(5\) months, B left the business, and C joined the business with a sum of ₹\(15000\). The profit earned at the end of the year is ₹\(84125\). What is the share of B in profit? A এবং B যথাক্রমে ₹\(35000\) এবং ₹\(20000\) বিনিয়োগ করে একটি ব্যবসা শুরু করে। \(5\) মাস পরে B ব্যবসা ছেড়ে দেয় এবং C ₹\(15000\) নিয়ে ব্যবসায় যোগ দেয়। বছরের শেষে মোট লাভ হয় ₹\(84125\)। লাভে B-এর অংশ কত?

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

A invests ₹\(35000\) for \(12\) months:

\[ 35000 \times 12 = 420000 \]

B invests ₹\(20000\) for \(5\) months:

\[ 20000 \times 5 = 100000 \]

C invests ₹\(15000\) for the remaining \(7\) months:

\[ 15000 \times 7 = 105000 \]

Profit sharing ratio:

\[ 420000 : 100000 : 105000 \]

Dividing by \(5000\):

\[ 84 : 20 : 21 \]

Total parts:

\[ 84 + 20 + 21 = 125 \]

B's share:

\[ \frac{20}{125} \times 84125 \]

\[ = 13460 \]

Correct Option: C