A, B and C enter into a partnership. A contributes one-third of the capital, while B contributes as much as A and C together. If the profit at the end of the year amounts to ₹\(720\), then A's share is A, B এবং C একটি অংশীদারি ব্যবসায় প্রবেশ করে। A মোট মূলধনের \( \frac{1}{3} \) অংশ বিনিয়োগ করে, আর B বিনিয়োগ করে A এবং C একসাথে যত বিনিয়োগ করে ঠিক ততটাই। যদি বছরের শেষে মোট লাভ ₹\(720\) হয়, তবে A-এর লাভের অংশ কত?

Let the total capital be \(1\).

A contributes:

\[ \frac{1}{3} \]

B contributes as much as A and C together:

\[ B = A + C \]

Total capital:

\[ A + B + C = 1 \]

Substitute \(B = A + C\):

\[ A + (A + C) + C = 1 \]

\[ 2A + 2C = 1 \]

\[ A + C = \frac{1}{2} \]

Since \(A = \frac{1}{3}\),

\[ C = \frac{1}{2} - \frac{1}{3} \]

\[ C = \frac{1}{6} \]

Then

\[ B = A + C = \frac{1}{3} + \frac{1}{6} = \frac{1}{2} \]

Thus the ratio of capitals:

\[ \frac{1}{3} : \frac{1}{2} : \frac{1}{6} \]

Multiplying by \(6\):

\[ 2 : 3 : 1 \]

Total parts:

\[ 2 + 3 + 1 = 6 \]

A's share:

\[ \frac{2}{6} \times 720 \]

\[ = 240 \]

Correct Option: D