If A is 250% of B, then B is what percent of (A + B) ?

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  1. 40%
  2. \(28 \frac{4}{7} \%\)
  3. \(66 \frac{2}{3} \%\)
  4. \(33 \frac{1}{7} \%\)

Answer (Detailed Solution Below)

Option 2 : \(28 \frac{4}{7} \%\)
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Detailed Solution

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Given:

A = 250% of B

Calculation:

A = 250% of B

⇒ 250/100 × B = 2.5B

Now, A + B = 2.5B + B = 3.5B

According to the question,

\(\dfrac{B}{A+B}\) = \(\dfrac{B}{3.5B}\) = \(\dfrac{10}{35}\) 

Required % = \(\dfrac{B}{A+B}\) × 100

 \(\dfrac{10}{35} \) × 100 = 200/7 = 28\(\dfrac{4}{7}\)%

∴ Option (2) is the correct answer.

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