Sum of A and B is 300 percent more than the sum of C and D. C is 50 percent more than D. If A is 200 percent more than B and D = 200, then what is the value of A?
Show answer & explanation
Correct answer: A
Explanation
Given:
D = 200
C is 50% more than D
A is 200% more than B
A + B is 300% more than C + D
By the formula:
x% more = root × (1 + x/100)
C = 200 × (1 + 50/100) = 300
C + D = 300 + 200 = 500
A + B = 500 × (1 + 300/100) = 2000
A = B × (1 + 200/100) = 3B
3B + B = 2000
4B = 2000
B = 500
A = 3 × 500 = 1500