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?

  1. A.

    96.96 percent

  2. B.

    88.88 percent

  3. C.

    80.88 percent

  4. 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%.

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