A is 40% less than B and C is 50% of the sum of A and B. The difference between A and B is what percentage of C?
1. 50%
2. 40%
3. 30%
4. 60%
1. 50%
2. 40%
3. 30%
4. 60%
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Correct Answer – Option 1 : 50%
Given:
A = 40% less than B
C = 50% of sum of A and B
Calculation:
Let the value of B be 100x
⇒ A = 100x × (60/100) = 60x
C = 50% of (60x + 100x)
⇒ 50% of 160x = 80x
Difference of A and B = 100x – 60x = 40x
Percentage difference with respect of C = (40x/80x) × 100% = 50%
∴ The difference between A and B is 50% of C