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If 20% of A = 50% of B, Then what per cent of A is B ?

If 20% of A = 50% of B, Then what per cent of A is B ?
[A]15%
[B]25%
[C]30%
[D]40%

40%
20% of A = 50% of B
=> 2A = 5B
=> A = \frac{5B}{2}
Let B is x% of A.
\therefore \frac{5B}{2}\times \frac{x}{100} = B
=> x = \frac{200}{5} = 40\%
Hence option [D] is the correct answer.

Originally written on July 6, 2016 and last modified on July 6, 2016.
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