Question : A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?
Option 1: 64%
Option 2: 62.5%
Option 3: 60.5%
Option 4: 60%
Answer (1)
8th Jan, 2024
Correct Answer: 62.5%
Solution :
Let B = 100
Now,
A $= 100 × \frac{100 - 40}{100} = 60$
So, C = 40% of (60 + 100) = 64
A + B = 100 + 60 = 160
B – A = 100 – 60 = 40
Increase percentage = $\frac{40}{64}\times 100= 62.5\%$
Hence, the correct answer is 62.5%.
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