QQuestionMathematics
QuestionMathematics
Calculate the percentage increase or decrease of the following whole numbers:
a) From 100 to 120
b) From 50 to 38
12 months agoReport content
Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
a) Percentage increase from 100 to 120
Step 2:: Calculate the change in value
\text{Change in value} = 120 - 100 = 20
Step 3:: Calculate the percentage increase
\text{Percentage increase} = \frac{\text{Change in value}}{\text{Original value}} \times 100\%
\text{Percentage increase} = \frac{20}{100} \times 100\% = 0.20 \times 100\% = 20\%
Final Answer
b) Percentage decrease from 50 to 38 Step 1: Calculate the change in value \text{Change in value} = 50 - 38 = 12 Step 2: Calculate the percentage decrease \text{Percentage decrease} = \frac{\text{Change in value}}{\text{Original value}} \times 100\% \text{Percentage decrease} = \frac{12}{50} \times 100\% = 0.24 \times 100\% = 24\% Key Insights: - Percentage change is calculated by dividing the change in value by the original value - Percentage increase uses the original value as the denominator - The result is always multiplied by 100% to express it as a percentage
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