Sum of A and B is 150 percent more than the sum of C and D. C is 25 percent more than D. If A is 100 percent more than B and D = 400, then what is the value of A?
Show answer & explanation
Correct answer: A
Explanation
Given:
D = 400
C is 25% more than D
A is 100% more than B
A + B is 150% more than C + D
By the formula:
Percent more = Original value × (1 + Percent/100)
C = 400 × (1 + 25/100) = 500
C + D = 500 + 400 = 900
A + B = 900 × (1 + 150/100) = 2250
A is 100% more than B
A = B × (1 + 100/100)
A = 2B
A + B = 2B + B
A + B = 3B
3B = 2250
B = 750
A = 2 × 750 = 1500