Example Question - percentage increase
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Calculating Percentage Increase of Hybrid and Electric Vehicles in Guadalajara
Para resolver esta pregunta, debemos calcular el porcentaje de incremento en la cantidad de autos híbridos y eléctricos (vehículos alternos) en la ciudad de Guadalajara entre los años 2020 y 2022. De acuerdo con la gráfica, en el año 2020 había 4,200 vehículos alternos. En el año 2022, la cantidad de estos vehículos aumentó a 9,100. El incremento en la cantidad de vehículos es: 9,100 - 4,200 = 4,900 vehículos. Para calcular el porcentaje de incremento, dividimos el incremento por la cantidad original y multiplicamos por 100: (4,900 / 4,200) * 100 = (1.16666667) * 100 ≈ 116.67% Sin embargo, ya que queremos saber cuánto incrementó con respecto al valor inicial, debemos restar el 100% que representa el valor inicial: 116.67% - 100% = 16.67% El porcentaje más cercano de las opciones proporcionadas es el 23%, que corresponde a la opción b). Aunque el cálculo exacto dio aproximadamente 16.67%, en la lista de opciones no hay uno que corresponda con ese valor porcentual y necesitamos elegir el más cercano de los valores provistos. Por lo tanto, la opción b) es la respuesta correcta.
Book Pricing Analysis
Đầu tiên, chúng ta sẽ giải quyết câu hỏi 34 trong hình ảnh: Giá ban đầu của cuốn sách là 15,000 đồng. - Khi tăng giá 15%, giá mới sẽ là: \( 15,000 + 15\% \times 15,000 = 15,000 + 0,15 \times 15,000 = 15,000 + 2,250 = 17,250 \) đồng. - Khi giảm giá 20%, giá mới sẽ là: \( 15,000 - 20\% \times 15,000 = 15,000 - 0,20 \times 15,000 = 15,000 - 3,000 = 12,000 \) đồng. Vậy sau khi tăng giá 15%, giá cuốn sách sẽ là 17,250 đồng và sau khi giảm giá 20%, giá cuốn sách sẽ là 12,000 đồng.
Calculating Percentage Increase in Unit Price of New Package vs Original Package
Let's tackle these questions step by step. First, we need to determine what the price of the new package should be to keep the original package quantity to cost ratio the same. The original package has 20 items for $5.75. So the cost per item is: \( \frac{$5.75}{20 \text{ items}} = $0.2875 \text{ per item} \) For the new package with 18 items to have the same cost ratio, the total package cost should be: \( 18 \text{ items} \times $0.2875 \text{ per item} = $5.175 \) However, since we are given that the price of the original and the new package is the same ($5.75), the calculation for a new package price that keeps the cost ratio the same is essentially a theoretical calculation to answer this part of the question. Now, for the second part, the actual price of the new package is still $5.75, but it contains only 18 items. We need to calculate the new unit price and compare it with the original unit price to find the percentage increase. New unit price with 18 items at $5.75 total cost is: \( \frac{$5.75}{18 \text{ items}} = $0.3194 \text{ per item} \) The percentage increase from the original unit price ($0.2875 per item) to the new unit price ($0.3194 per item) is: \( \text{Percentage Increase} = \frac{\text{New Unit Price} - \text{Original Unit Price}}{\text{Original Unit Price}} \times 100 \% \) \( \text{Percentage Increase} = \frac{$0.3194 - $0.2875}{$0.2875} \times 100 \% \) \( \text{Percentage Increase} = \frac{$0.0319}{$0.2875} \times 100 \% \) \( \text{Percentage Increase} = 0.111 \times 100 \% \) \( \text{Percentage Increase} = 11.1 \% \) So the unit price in the new package has increased by 11.1% compared to the original package. This is the final answer, rounded to one decimal place as requested.
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