Dinesh, Naga, and Naren enter into a partnership. Dinesh contributes one-third of the whole capital while Naga contributes as much as the contribution of Dinesh and Naren together. If the profit at the end of the year is Rs. 1,05,000, how much would Naren receive? (In Rs.)

Question

Question

This question was previously asked in

OSSC CGL 2022 Official Paper (Held on: 17th Oct Shift 2)

Answer 1

Given:

Dinesh = \(1 \over 3\)

Naga = Dinesh + Naren

Profit = Rs. 105000

Calculation:

Let us consider

Dinesh = X

Naga = Y

Naren = Z

From the given data,

Share of Dinesh = \(1 \over 3\)

Let us consider, Z = Y

Share of Y = X + Z

Share of Y = X + Y

⇒ Y = \(1 \over 3\) + Y

So,

⇒ \({2 \over 3} + 2Y = 1\)

Share of Y = \(1 \over 2\)

Share of Z = \(1 \over 6\)

From the above calculation,

Ratio of X : Y : Z = \({1 \over 3 } : {1 \over 2} :{1 \over 6} \)

We know that, total profit is Rs. 105000

Amount received by Z = \(105000 × {1 \over 6}\) = 17500

∴ Naren receive Rs. 17500 profit at the end of the year.