Question : A is 75% less than B and C is 75% of the difference between A and B. C is what percentage more than A?
Option 1: 125
Option 2: 100
Option 3: 75
Option 4: 90
Correct Answer: 125
Solution :
Given: A = B – 75% of B
C = 75% of (A – B)
Let B = 100
A is 75% less than B = $100 \times \frac{25}{100}$ = 25
C is 75 % of the difference between A and B = $(100 - 25) \times \frac{75}{100}$ = 56.25
Thus, C is more than that of A by = $\frac{C-A}{A}\times 100$
= $\frac{56.25 - 25}{25}\times 100$
= 125%
Hence, the correct answer is 125.
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