Correct Answer - Option 3 : Rs. 4000
Given:
Alice's share = (1/3)rd of total profit,
Bob's share = (1/4)th of total profit,
Charlie's share = Rs. 5000
Calculation:
Let the total profit be Rs. x.
So,
According to the question,
Alice's share = (1/3) × x,
Bob's share = (1/4) × x,
Again,
According to the question,
(1/3)x + (1/4)x + 5000 = x
⇒ x - {(1/3)x + (1/4)x} = 5000
⇒ x - {(4x + 3x)/12} = 5000
⇒ (12x - 7x)/12 = 5000
⇒ (5/12)x = 5000
⇒ x = (5000 × 12)/5
⇒ x = 1000 × 12
⇒ x = Rs. 12,000
Now, Alice's share of profit = (1/3) × 12,000
⇒ Rs. 4,000
∴ Alice's share of profit is Rs. 4,000.