Question

The price of a notebook was $3.75 yesterday. Today, the price fell to $3.50. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answer 1

Let's find the absolute difference first: $3.75-3.50 = 0.25$.

Now, we must ask ourselves: which percentage of 3.75 is 0.25? Since we compute the x percent of 3.75 by multiplying it by $\cfrac{x}{100}$, we are posing the following question:

$3.75\cdot\cfrac{x}{100} = 0.25$

Solving for $x$, we have

$x = \cfrac{0.25\cdot 100}{3.75} = \cfrac{25}{3.75} = 6.\overline{6}$

So, the price decreased by the $6.7\%$