Math Problem Statement

After increasing the price by 1,200.00 pesos, the price of a tv set becomes 1,600.00 pesos. What is the percentage increase

Solution

To calculate the percentage increase, we can use the formula:

Percentage Increase=(Increase in PriceOriginal Price)×100\text{Percentage Increase} = \left( \frac{\text{Increase in Price}}{\text{Original Price}} \right) \times 100

  • Increase in Price = 1,200.00 pesos
  • Final Price = 1,600.00 pesos
  • Original Price = Final Price - Increase in Price = 1,600.00 - 1,200.00 = 400.00 pesos

Now, plug the values into the formula:

Percentage Increase=(1,200.00400.00)×100=300%\text{Percentage Increase} = \left( \frac{1,200.00}{400.00} \right) \times 100 = 300\%

Thus, the percentage increase is 300%.

Would you like more details or further explanations?

Here are 5 related questions to consider:

  1. How do you calculate percentage decrease?
  2. What is the formula for percentage change in general?
  3. How do you find the original price given the final price and percentage increase?
  4. Can you solve a problem involving percentage increase with a discount?
  5. What happens if the percentage increase is negative?

Tip: Always subtract the initial value from the final value to determine the change before calculating the percentage increase or decrease.

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Math Problem Analysis

Mathematical Concepts

Percentage Increase
Basic Arithmetic

Formulas

Percentage Increase formula: (Increase in Price / Original Price) * 100

Theorems

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Suitable Grade Level

Grades 6-8