Select the correct answer from each drop-down menu. Last year, sales at a bookstore increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales increase last year? What percentage did sales decrease this year? Sales increased last year, from $5,000 to $10,000. When sales dropped from $10,000 to $5,000 this year, sales decreased
Answer (2)
Sales increased by 100% last year when rising from $5,000 to $10,000, and decreased by 50% this year when dropping from $10,000 to $5,000.
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Calculate the increase in sales last year: $10,000 - $5,000 = $5,000.
Calculate the percentage increase in sales last year: 5000 5000 × 100% = 100% .
Calculate the decrease in sales this year: $10,000 - $5,000 = $5,000.
Calculate the percentage decrease in sales this year: 10000 5000 × 100% = 50% . The answer is 100% and 50% .
Explanation
Problem Analysis We need to determine the percentage increase in sales from last year and the percentage decrease in sales from this year.
Calculating Percentage Increase To find the percentage increase in sales last year, we first calculate the increase in sales: 10 , 000 − 5 , 000 = 5 , 000 Then, we divide the increase by the original amount and multiply by 100%: 5 , 000 5 , 000 × 100% = 1 × 100% = 100% So, the sales increased by 100% last year.
Calculating Percentage Decrease To find the percentage decrease in sales this year, we first calculate the decrease in sales: 10 , 000 − 5 , 000 = 5 , 000 Then, we divide the decrease by the original amount and multiply by 100%: 10 , 000 5 , 000 × 100% = 0.5 × 100% = 50% So, the sales decreased by 50% this year.
Final Answer Therefore, sales increased by 100% last year, and sales decreased by 50% this year.
Examples
Understanding percentage changes is crucial in many real-life situations. For example, if you invest in the stock market, you want to know the percentage increase in your investment over time. Similarly, retailers often calculate the percentage decrease in prices during sales events to attract customers. Knowing how to calculate percentage changes helps you make informed decisions in finance, shopping, and many other areas.
