Multiple choice

Quantity A Rate per annum when simple interest on a certain sum is a quarter of the sum in 4 years Quantity B Percentage by which 8.5 is more than 8

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity A: SI = P/4, T = 4. SI = (P * R * T) / 100 => P/4 = (P * R * 4) / 100 => 1/4 = 4R/100 => R = 100/16 = 6.25%. Quantity B: (8.5 - 8) / 8 = 0.5 / 8 = 1/16 = 6.25%. Both are 6.25%.

AI explanation

For Quantity A, if the simple interest is one quarter of the sum in 4 years, the interest equals 25% of the sum, making the annual rate 25 divided by 4, which is 6.25%. For Quantity B, the percentage by which 8.5 is more than 8 is calculated as ((8.5 - 8) divided by 8) multiplied by 100, which also equals 6.25%. Therefore, the two quantities are equal.

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