Question

Given below is the table for profit distribution between 2 NGOs:

If the total profit is 25%, according to the following distribution, find the profit % received by each human rights and rehabilitation respectively?

• A. 10% and 15%
• B. 9% and 16%
• C. 8% and 17%
• D. 15% and 10%

Answer 1

The correct option is B 9% and 16%

Given the profit distribution:
Adding the profits donated to each NGO and equating it to the total profit to form a linear equation, we have:

x + $\frac{11}{3}$ + 2x + $\frac{16}{3}$ = 25

$\Rightarrow$ x + $\frac{11}{3}$ + 2x + $\frac{16}{3}$ - 25 = 0

Using commutative property,
x + 2x + $\frac{11}{3}$ + $\frac{16}{3}$ - 25 = 0

Using associative property,
x + 2x + $\frac{11}{3}$ + $\frac{16}{3}$ - 25 = 0

$\Rightarrow$ 3 x - 16 = 0

$\Rightarrow$ x = $\frac{16}{3}$

Profit of human rights:
= (x + $\frac{11}{3}$)%
= ($\frac{16}{3}$ + $\frac{11}{3}$)%
= 9%

Profit of rehabiliation:
= (2 $\times$ $\frac{16}{3}$ + $\frac{16}{3})$%
= $\frac{32}{3}+\frac{16}{3}$
= 16 %

Therefore, profit received by each of them is 9% and 16% respectively.