Question

the local grocery store sold $1,420 worth of products on monday. they sold $1,235 worth of products on tuesday. what is the percentage decrease in sales from monday to tuesday? round to the nearest tenth of a percent. a 13.5% b 16.7% c 13.0% d 14.8%

Explanation:

Step1: Find the decrease in sales

Subtract Tuesday's sales from Monday's sales.
$1420 - 1235 = 185$

Step2: Calculate the percentage decrease

Use the formula for percentage decrease: $\frac{\text{Decrease}}{\text{Original Amount}} \times 100\%$. Here, the original amount is Monday's sales ($1420$), and the decrease is $185$.
$\frac{185}{1420} \times 100\% \approx 13.03\% \approx 13.0\%$ (Wait, no, let's recalculate: $\frac{185}{1420} \approx 0.13027$, times 100 is approximately $13.027\%$, which rounds to $13.0\%$? Wait, no, wait: $1420 - 1235 = 185$. Then $\frac{185}{1420} \times 100$. Let's do $185 \div 1420$: $1420 \times 0.13 = 184.6$, so $185 - 184.6 = 0.4$, so $0.13 + \frac{0.4}{1420} \approx 0.13 + 0.0002817 = 0.1302817$, so $13.02817\%$, which rounds to $13.0\%$? But wait, maybe I made a mistake. Wait, $1420 - 1235 = 185$. Then $185 / 1420 = 0.1302746...$, times 100 is $13.02746...\%$, which rounds to $13.0\%$? But the options have A as 13.5%, B 16.7%, C 13.0%, D 14.8%. Wait, maybe my calculation is wrong. Wait, no: $1420 - 1235 = 185$. Then $185 / 1420 = 0.13027$, so $13.0\%$ when rounded to the nearest tenth. Wait, but let's check again: $1420 \times 0.135 = 1420 \times 0.1 + 1420 \times 0.03 + 1420 \times 0.005 = 142 + 42.6 + 7.1 = 191.7$, which is more than 185. $1420 \times 0.13 = 184.6$, which is close to 185. So the percentage decrease is approximately $13.0\%$. Wait, but the first calculation: $185 / 1420 = 0.13027$, so $13.0\%$ when rounded to the nearest tenth. So the correct answer is C.

Answer:

C. 13.0%