Sum of A and B is 100 percent more than the sum of C and D. C is 20 percent more than D. If A is 200 percent more than B and D = 500, then what is the value of A?
Show answer & explanation
Correct answer: B
Explanation
Given:
D = 500
C is 20% more than D
A is 200% more than B
A + B is 100% more than C + D
C = 500 × (1 + 20/100) = 600
C + D = 600 + 500 = 1100
A + B = 1100 × (1 + 100/100) = 2200
A is 200% more than B
A = B × (1 + 200/100)
A = 3B
A + B = 3B + B
A + B = 4B
4B = 2200
B = 550
A = 3 × 550 = 1650