Question

If 4% of (A + B) is equal to 28% of (A - B), then find A : B.

• A. 3 : 4
• B. 4 : 3
• C. 7 : 4
• D. 4 : 7

Answer 1

Answer:

B. 4 : 3

Given:
4% of (A + B) = 28% of (A − B)

$0.04(A + B) = 0.28(A - B)$

Divide both sides by 0.04:

$A + B = 7(A - B)$

Expand:

$A + B = 7A - 7B$

Rearrange:

$A - 7A = -7B - B$
$-6A = -8B$
$\frac{A}{B} = \frac{8}{6} = \frac{4}{3}$

So, (A : B = 4 : 3)