Math  /  Algebra

Questionавсан бэ? 21 Компани 80 сая төгрөгийн ашиттай ажиллажээ. Ашгаа гурван хөрөнге оруулагч нь анх оруулсан торөнгөт эйтоо пропорциопалаар хувааж авав. Арвин 20 сая. Баян 35 сая, Ашид 25 сая төгрөг хөрөнгө оруулсан бол тэд ашгаа хэрхэн хуваасан бэ?

Studdy Solution

STEP 1

1. The total profit is 80 million tögrög.
2. The profit is divided among three investors based on their initial investments.
3. Arvin invested 20 million tögrög, Bayan invested 35 million tögrög, and Ashid invested 25 million tögrög.
4. We need to determine how the profit is divided among Arvin, Bayan, and Ashid.

STEP 2

1. Determine the total initial investment.
2. Calculate the proportion of each investor's initial investment to the total investment.
3. Calculate each investor's share of the profit based on their proportion.

STEP 3

Determine the total initial investment by summing the investments of Arvin, Bayan, and Ashid.
Total investment=20+35+25 \text{Total investment} = 20 + 35 + 25
Total investment=80 million to¨gro¨g \text{Total investment} = 80 \text{ million tögrög}

STEP 4

Calculate the proportion of each investor's initial investment to the total investment.
Arvin's proportion: 2080=14 \frac{20}{80} = \frac{1}{4}
Bayan's proportion: 3580=716 \frac{35}{80} = \frac{7}{16}
Ashid's proportion: 2580=516 \frac{25}{80} = \frac{5}{16}

STEP 5

Calculate each investor's share of the profit based on their proportion.
Arvin's share: 14×80=20 million to¨gro¨g \frac{1}{4} \times 80 = 20 \text{ million tögrög}
Bayan's share: 716×80=35 million to¨gro¨g \frac{7}{16} \times 80 = 35 \text{ million tögrög}
Ashid's share: 516×80=25 million to¨gro¨g \frac{5}{16} \times 80 = 25 \text{ million tögrög}
The profit is divided as follows: - Arvin receives 20 million tögrög. - Bayan receives 35 million tögrög. - Ashid receives 25 million tögrög.

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