Math Problem Statement

Answer

A stock's value increased from £150 to £180. What is the percentage increase?

Solution

To determine the percentage increase, we can use the following formula:

Percentage Increase=(New ValueOld ValueOld Value)×100\text{Percentage Increase} = \left(\frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\right) \times 100

Given:

  • Old Value = £150
  • New Value = £180

Substitute these values:

= \left(\frac{30}{150}\right) \times 100 = 0.2 \times 100 = 20\%$$ So, the correct answer is **20%**. Would you like a further breakdown, or do you have other related questions? --- Here are five follow-up questions that might help: 1. How do you calculate a percentage decrease? 2. What is the general formula for percentage change? 3. How would the calculation change if the values were given in dollars instead? 4. What happens if the stock's value decreases? How would the formula apply? 5. Can percentage increases exceed 100%? If yes, under what circumstances? **Tip:** Always check the units when calculating percentage increases to avoid confusion with currencies or measurements.

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Math Problem Analysis

Mathematical Concepts

Percentage
Percentage Increase
Basic Arithmetic

Formulas

Percentage Increase = ((New Value - Old Value) / Old Value) × 100

Theorems

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Suitable Grade Level

Grades 6-8