If E1 is 8 times more than E2, then E2 is what percentage less than E1?
2024
If E1 is 8 times more than E2, then E2 is what percentage less than E1?
- A.
96.96 percent
- B.
88.88 percent
- C.
80.88 percent
- D.
84.88 percent
Attempted by 151 students.
Show answer & explanation
Correct answer: B
To determine what percentage less E2 is than E1, we first need to clarify the relationship between E1 and E2 based on the problem statement.
Mathematical Analysis
Problem Statement: "E1 is 8 times more than E2."
This phrasing is mathematically interpreted as: E1 = E2 + 8 * E2 = 9 * E2.
(Note: If the problem meant "E1 is 8 times E2," it would be E1 = 8 * E2. However, based on the standard interpretation of "8 times more than," we use 9 * E2).
Calculation Steps:
Identify the difference: E1 - E2 = 9 * E2 - E2 = 8 * E2.
Calculate the percentage: To find how much less E2 is than E1, we use the formula: ((E1 - E2) / E1) * 100.
Substitute the values: (8 * E2 / 9 * E2) * 100 = (8 / 9) * 100 = 88.88%.