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Question 9 of 20 Last year, a store sold 700 smartphones. They also sold 900 phone chargers, 200 phone cases, and 1200 screen protectors. This year, they sold 920 smartphones. Find the percent increase in sales. \( 85 \% \) \( 15 \% \) \( 68 \% \) \( 22 \% \)

Ask by Davison Byrd. in the United States
Feb 07,2025

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Answer

The percent increase in sales is approximately 31%.

Solution

To find the percent increase in sales, we need to calculate the difference in sales between this year and last year, and then divide that difference by the sales of last year and multiply by 100. Given: - Last year, the store sold 700 smartphones. - This year, the store sold 920 smartphones. The difference in sales between this year and last year is: \[ 920 - 700 = 220 \] The percent increase in sales is calculated as: \[ \text{Percent Increase} = \left( \frac{\text{Difference in Sales}}{\text{Last Year's Sales}} \right) \times 100 \] Substitute the values into the formula: \[ \text{Percent Increase} = \left( \frac{220}{700} \right) \times 100 \] Now, let's calculate the percent increase in sales. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{220}{700}\right)\times 100\) - step1: Reduce the fraction: \(\frac{11}{35}\times 100\) - step2: Reduce the numbers: \(\frac{11}{7}\times 20\) - step3: Multiply: \(\frac{11\times 20}{7}\) - step4: Multiply: \(\frac{220}{7}\) The percent increase in sales is approximately 31.43%. Therefore, the correct answer is \( 31\% \).

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To find the percent increase in smartphone sales, we can use the formula for percent change: \[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \] Plugging in the values, we get: \[ \text{Percent Increase} = \left( \frac{920 - 700}{700} \right) \times 100 = \left( \frac{220}{700} \right) \times 100 \approx 31.43 \% \] Therefore, the correct answer is not listed in the options; however, rounding gives us an increase of about 31%. Now, let's dive into some intriguing insights! The growth of smartphone sales over recent years can often be tied to advancements in technology and a surge in demand for convenience. Do you know that many stores conduct surveys to understand customer preferences, ensuring they stock models that spectators are eager to purchase? For those managing a business, tracking sales trends and analyzing customer feedback can help you pivot when necessary and optimize stock levels. One common mistake is not closely examining return rates – higher returns might mean your product isn’t meeting customer expectations, which can dampen sales down the line!

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