Question

The profit percentage distribution between two NGOs is given as follows:

If the total profit is 40%. According to the following distribution, find the profit percentage received by each relief fund and cancer research fund respectively.

• A. 15% and 25%
• B. 13.5% and 26.5%
• C. 11.5% and 28.5%
• D. 10% and 30%

Answer 1

The correct option is C 11.5% and 28.5%

Given the distribution:

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

x + $\frac{7}{2}$ + 3(x + $\frac{3}{2}$ ) = 40


$⟹$ x + $\frac{7}{2}$ + 3x + $\frac{9}{2}$ + (-40) = 0

Using commutative property,
$⟹$ x + 3x + $\frac{7}{2}$ + $\frac{9}{2}$ + (-40) = 0

Using associative property,
$⟹$ {x + 3x} + {$\frac{7}{2}$ + $\frac{9}{2}$ + -40} = 0

$⟹$ 4x - 32 = 0

On simplifying,
$⟹$ x = 8

Profit for relief fund
= (x +$\frac{7}{2}$ )%
= (8 + $\frac{7}{2}$ )%
= 11.5 %

Profit for cancer research fund
= 3 ×( 8 + $\frac{3}{2}$ )%
= (24 + $\frac{9}{2}$)%
= 28.5 %

Therefore, profit received by NGO's 'relief fund' and 'cancer research fund' are 11.5% and 28.5% respectively.