Question

when a number is decreased by 7.5%, the result is 61. what is the original number to the nearest tenth?

Explanation:

Step1: Define original number as $x$

Let the original number be $x$.

Step2: Calculate remaining percentage

A 7.5% decrease means $100\% - 7.5\% = 92.5\%$ remains, or $0.925$ in decimal.

Step3: Set up equation

$0.925x = 61$

Step4: Solve for $x$

$x = \frac{61}{0.925} \approx 65.9$

Answer:

65.9