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If 30% of A is added to 40% of B, the answar is 80% of B. What percentage of A is B?

  • A.30%
  • B.40%
  • C.70%
  • D.75%

Answer: D

\[ 0.30A + 0.40B = 0.80B \]

\[ 0.30A = 0.40B \quad\Longrightarrow\quad \frac{B}{A} = \frac{0.30}{0.40} = 0.75 \]

So B is 75% of A. Note the question asks for B as a percentage of A, not the other way round - that would be 133.3%.

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