A is 20 percent more than B. B is 30 percent more than C. C is 10 percent less than D. D is 30 percent less than E. By how much percentage is A more/less than E?
Show answer & explanation
Correct answer: A
Explanation
Given:
A is 20% more than B
B is 30% more than C
C is 10% less than D
D is 30% less than E
By the formula:
Percent more/less = Original value × (1 ± percent/100)
Let E = 100
D = 100 × (1 − 30/100) = 70
C = 70 × (1 − 10/100) = 63
B = 63 × (1 + 30/100) = 81.9
A = 81.9 × (1 + 20/100) = 98.28
Compare A and E
Difference = 100 − 98.28 = 1.72
Percent = (1.72 / 100) × 100= 1.72%