Question

On percent error, if 48% is the actual and the error rate is 20%, what is the estimate?

Answer 1

The estimate is 57.6 %

Solution:

Given that, On percent error, 48% is the actual and the error rate is 20%

To find: Estimate

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

The formula for percent error is given as:

$\text { percent error }=\frac{\text {estimated value}-\text {actual value}}{\text {actual value}} \times 100$

Here given that,

percent error = 20 %

Actual = 48 %

Estimate = ?

Let "x" be the estimate

Substituting the values we get,

$20 = \frac{x-48}{48} \times 100\\\\20 \times 48 = (x-48) \times 100\\\\960 = x - 48 \times 100\\\\x - 48 = \frac{960}{100}\\\\x - 48 = 9.6\\\\x = 48 + 9.6\\\\x = 57.6$

Thus the estimate is 57.6 %