Okumu and Karani contribute Sh 12000 and Sh 8000 respectively to start a business together. They agree to…

Question

Okumu and Karani contribute Sh 12000 and Sh 8000 respectively to start a business together. They agree to share profit in the ratio of their contribution. If the total profit is Sh 36,000, how much does each receive?

ScanSolve AI Tutor · Accepted Answer

Hili ni swali kuhusu kugawana faida kulingana na mchango wa mtaji.

Pata uwiano wa michango yao.
Okumu alichangia Sh 12,000 na Karamu alichangia Sh 8,000.
Uwiano wa mchango wa Okumu kwa Karamu ni:
$\text{Okumu} : \text{Karamu} = 12,000 : 8,000$
Rahisisha uwiano kwa kugawanya pande zote mbili kwa 1,000, kisha kwa 4,000:
$12 : 8$ $\frac{12}{4} : \frac{8}{4}$ $3 : 2$
Tafuta jumla ya sehemu za uwiano.
Jumla ya sehemu za uwiano ni $3 + 2 = 5$ .
Kokotoa sehemu ya faida ya kila mmoja.
Faida yote ni Sh 38,000.

Sehemu ya Okumu:
$\text{Sehemu ya Okumu} = \frac{\text{Uwiano wa Okumu}}{\text{Jumla ya uwiano}} \times \text{Faida yote}$ $\text{Sehemu ya Okumu} = \frac{3}{5} \times 38,000$ $\text{Sehemu ya Okumu} = 3 \times \frac{38,000}{5}$ $\text{Sehemu ya Okumu} = 3 \times 7,600$ $\text{Sehemu ya Okumu} = \text{Sh } 22,800$
Sehemu ya Karamu:
$\text{Sehemu ya Karamu} = \frac{\text{Uwiano wa Karamu}}{\text{Jumla ya uwiano}} \times \text{Faida yote}$ $\text{Sehemu ya Karamu} = \frac{2}{5} \times 38,000$ $\text{Sehemu ya Karamu} = 2 \times \frac{38,000}{5}$ $\text{Sehemu ya Karamu} = 2 \times 7,600$ $\text{Sehemu ya Karamu} = \text{Sh } 15,200$
Okumu atapokea Sh 22,800 na Karamu atapokea Sh 15,200.
$\text{Okumu: Sh 22,800, Karamu: Sh 15,200}$

Okumu and Karani contribute Sh 12000 and Sh 8000 respectively to start a business together. They agree to share profit in the ratio of their contribution. If the total profit is Sh 36,000, how much does each receive?

Answer

Step-by-step solution

Pata uwiano wa michango yao.

Tafuta jumla ya sehemu za uwiano.

Kokotoa sehemu ya faida ya kila mmoja.

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