Question

Profit distribution for two NGOs is given as:

If the total profit is 20%, according to the above distribution, the profit % received by each NGO is .

• A. 10%
• B. 15%
• C. 25%
• D. 20%

Answer 1

The correct option is A 10%

Given the profit distribution for both the NGOs:

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

x + $\frac{15}{2}$ + $\frac{5}{2}$x + $\frac{15}{4}$ = 20

$\Rightarrow$ x + $\frac{15}{2}$ + $\frac{5}{2}$x + $\frac{15}{4}$ - 20 = 0

Using commutative property,
$\Rightarrow$ x + $\frac{5}{2}$x + $\frac{15}{2}$ + $\frac{15}{4}$ - 20 = 0

Using associative property,
$\Rightarrow$ (x + $\frac{5}{2}$x) + ($\frac{15}{2}$ + $\frac{15}{4}$ - 20) = 0

$\Rightarrow$ $\frac{7}{2}$x - $\frac{35}{4}$ = 0

$\Rightarrow$ x = $\frac{5}{2}$

Profit of animal rescue squad:
= (x + $\frac{15}{2}$)%
= $\frac{5}{2}$ + $\frac{15}{2}$%
= 10%

Profit of school for all:
= $(\frac{5}{2}\times \frac{5}{2}+\frac{15}{4})$%
= $\frac{25}{4}+\frac{15}{4}$
= 10%

$\therefore$ Profit recieved by each of them is 10%.