A, B and C are partners of a company. During a particular year, A received one-third of the profit. B received one-fourth of the profit, and C received the remaining ₹\(5000\). How much did A receive? A, B এবং C একটি কোম্পানির অংশীদার। একটি বছরে A লাভের এক-তৃতীয়াংশ পায়। B লাভের এক-চতুর্থাংশ পায় এবং C অবশিষ্ট ₹\(5000\) পায়। A কত টাকা পেয়েছিল?

Let total profit = ₹\(P\)

A's share = \[ \frac{1}{3}P \]

B's share = \[ \frac{1}{4}P \]

C's share = \[ P - \left(\frac{1}{3}P + \frac{1}{4}P\right) \]

\[ = P \left(1 - \frac{1}{3} - \frac{1}{4}\right) \]

LCM of \(3\) and \(4\) is \(12\):

\[ = P \left(1 - \frac{4}{12} - \frac{3}{12}\right) \]

\[ = P \left(\frac{5}{12}\right) \]

Given:

\[ \frac{5}{12}P = 5000 \]

\[ P = \frac{5000 \times 12}{5} \]

\[ P = 12000 \]

A's share = \[ \frac{1}{3} \times 12000 = 4000 \]

Correct Answer: B