A, B, C subscribe Tk. 50,000 for a business. A subscribes Tk. 4000 more than B and B Tk. 5000 more than C. Out of a total profit of Tk. 35,000, A receives-

Question: A, B, C subscribe Tk. 50,000 for a business. A subscribes Tk. 4000 more than B and B Tk. 5000 more than C. Out of a total profit of Tk. 35,000, A receives-

Solution:
let, C subscribes x taka
B subscribes x + 5000 taka
A subscribes x + 5000 + 4000
= x + 9000 taka

x + x + 5000 + x + 9000 = 50000
⇒ 3x + 14000 = 50000
⇒ 3x = 36000
⇒ x = 12000 taka

A receives = {(x + 9000)/50000} × 35000
= (21000/50000) × 35000
= 14700 taka