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Alice, Bob and Charlie are partners in a company. During a particular year Alice got one-third of the profit, Bob got one-fourth of the profit and Charlie got the rest, which is Rs. 5000. How much profit did Alice get?
1. Rs. 4500 
2. Rs. 5000
3. Rs. 4000 
4. Rs. 3500

1 Answer

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Best answer
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.

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