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If 20 of (A + B) = 50 of B then...

This question belongs to Arithmetic Ability Percentage
Percentage
?

If 20% of (A + B) = 50% of B, then value of $$\frac{2A - B}{2A + B}$$   is :

Answer & Solution
Correct Answer: Option A
$$\frac{20}{100}$$ (A + B) = $$\frac{50}{100}$$ (B)
2A + 2B = 5B
2A = 3B
A = $$\frac{3}{2}$$ put value of A in given equation
$$\frac{2A - B}{2A + B}$$
= $$\frac{3B - B}{3B + B}$$
= $$\frac{2B}{4B}$$
= $$\frac{1}{2}$$
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