Three men took part in a business. They put in 2000 naira, 4000 naira and 1500 naira as capital. The profit made was divided among them in the same proportion as the amounts put in. If the profit was 300 naira, how much did each man get?

Answer:

a. Profit A = 80 Naira.

b. Profit B = 160 Naira.

c. Profit C = 60 Naira.

Explanation:

Let the three men be A, B and C.

Given the following data;

A = 2000 Naira.

B = 4000 Naira.

C = 1500 Naira.

Profit = 300 Naira

The ratio of the capital invested by each men is;

Ratio = A: B : C

Ratio = 2000 : 4000 : 1500

Dividing all through by 500;

$Ratio = \frac {2000}{500} : \frac {4000}{500} : \frac {1500}{500}$

Ratio = 4 : 8 : 3

Total ratio = 4 + 8 + 3 = 15

a. To find the amount of profit earned by A;

$Profit \; A = \frac {4}{15} * 300$

$Profit \; A = \frac {1200}{15}$

Profit A = 80 Naira.

b. Profit earned by B;

$Profit \; B = \frac {8}{15} * 300$

$Profit \; B = \frac {2400}{15}$

Profit B = 160 Naira. 

c. Profit earned by C;

$Profit \; C = \frac {3}{15} * 300$

$Profit \; C = \frac {900}{15}$

Profit C = 60 Naira.

Therefore, each of the men would get 80 Naira, 160 Naira and 60 Naira respectively.

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