A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Let’s denote the amount subscribed by C as x.
Since B subscribes Rs. 5000 more than C:
B’s subscription = x + 5000
Since A subscribes Rs. 4000 more than B:
A’s subscription = (x + 5000) + 4000
= x + 9000
The total subscription is Rs. 50,000:
x + (x + 5000) + (x + 9000) = 50000
Combine like terms:
3x + 14000 = 50000
Subtract 14000 from both sides:
3x = 36000
Divide by 3:
x = 12000
Now we know the individual subscriptions:
C’s subscription = Rs. 12000
B’s subscription = Rs. 17000 (12000 + 5000)
A’s subscription = Rs. 21000 (17000 + 4000)
The ratio of their subscriptions is:
A : B : C = 21000 : 17000 : 12000
= 21 : 17 : 12
A’s share of the total profit (Rs. 35,000) is:
A’s share = (21/50) × 35000
= 0.42 × 35000
= 14700
A receives Rs. 14,700.
