A, B, C are partners in a business. During a particular year,A received one third of the profit, B received one fourth of the profit and C received the remaining Rs. 5000. How much amount of money did A receive

let the profit be P

A, B, C are partners in a business

A received one third of the profit = $$ \frac{1}{3} \times P $$

B received one fourth of the profit = $$ \frac{1}{4} \times P $$

C received the remaining = $$ 1 - (\frac{1}{3} + \frac{1}{4}) = \frac{5}{12} $$

given $$ \frac{5}{12} \times P =5000 $$ 

solving $$ P = \frac{5000 \times 12}{5} = 12000 $$

amount of money  A receive = $$ \frac{12000}{3} = 4000 $$