Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.?a)Rs.1800b)Rs.2200c)Rs.1200d)Rs.1500Correct answer is option 'C'. Can you explain this answer?

Question

Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod&rsquo;s share in Rs.?a)Rs.1800b)Rs.2200c)Rs.1200d)Rs.1500Correct answer is option 'C'. Can you explain this answer?

Answer

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Answer

Let's assume the total profit is x.

According to the given information, Ashok receives 1/10th of the profit.

So, Ashok's share = x/10.

The remaining profit is divided between Pramod and Prakash in the ratio of 1:2, which means Pramod receives 1/3rd of the remaining profit and Prakash receives 2/3rd of the remaining profit.

Pramod's share = (2/3) * (x - x/10) = (2/3) * (9/10) * x = (3/5) * x.

Prakash's share = (1/3) * (x - x/10) = (1/3) * (9/10) * x = (3/10) * x.

Given that the difference between Ashok's and Prakash's share is Rs. 2000, we can write the equation:

Ashok's share - Prakash's share = 2000.

(x/10) - ((3/10) * x) = 2000.

(10x - 3x)/10 = 2000.

7x/10 = 2000.

7x = 2000 * 10.

7x = 20000.

x = 20000/7.

x ≈ 2857.14.

Therefore, Pramod's share = (3/5) * 2857.14 ≈ 1714.29.

So, Pramod's share is approximately Rs. 1714.29.

Answer

let total profit =x
ashok’s share in profit is (1/10)x
remaining profit = x= (1/10)x= (9/10)x
pramod’s share= 1/3 x (9/10)x = (3/10 )x
Prakash’s share= 2/3 x (9/10)x = (6/10)x
ashok – prakash= (6/10)x -(1/10)x = (5/10)x
5/10 x = 2,000 so, x= 4000 pramod’s share= (3/10) x 4000=1200

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