Question : If A is 40% less than B and C is 40% of the sum of A and B, then by what percentage is B greater than C?
Option 1: 60
Option 2: $56 \frac{1}{4}$
Option 3: $40 \frac{1}{8}$
Option 4: 36
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Correct Answer: $56 \frac{1}{4}$
Solution :
Let B = 100
So, A = 60
$\therefore$ C = 40% of (60 + 100) = 64
So, B is greater than C by
$= (100 - 64) × \frac{100}{64}$
$= (\frac{225}{4})\%$
$=56\frac{1}{4}\%$
Hence, the correct answer is $56\frac{1}{4}\%$.
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