X, Y, Z jointly invested Rs. 50,000 for a company. X invested Rs. 4000 more than Y and Y Rs. 5000 more than Z. Out of a total profit of Rs. 35,000, X receives ?
Explanation:
Let Z = x.
Then, Y = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
=> 3x = 36000
=> x = 12000
=> X : Y : Z = 21000 : 17000 : 12000 = 21 : 17 : 12.
=> X's share = Rs. 35000 x 21/50 = Rs. 14,700.