Math Problem Statement

The value of a machine in the year 2020 was 75000. Its present value is 60000, Find the decrease in percentage

Solution

To find the percentage decrease in the value of the machine, we can use the following formula:

Percentage Decrease=(Initial ValueFinal ValueInitial Value)×100\text{Percentage Decrease} = \left( \frac{\text{Initial Value} - \text{Final Value}}{\text{Initial Value}} \right) \times 100

Given:

  • Initial Value in 2020 = 75000
  • Final Value (Present Value) = 60000

First, calculate the decrease in value:

Decrease in Value=7500060000=15000\text{Decrease in Value} = 75000 - 60000 = 15000

Next, calculate the percentage decrease:

Percentage Decrease=(1500075000)×100\text{Percentage Decrease} = \left( \frac{15000}{75000} \right) \times 100

Percentage Decrease=(15)×100=20%\text{Percentage Decrease} = \left( \frac{1}{5} \right) \times 100 = 20\%

So, the decrease in percentage is 20%.

Would you like further details or have any questions? Here are some additional questions you might be interested in:

  1. How to calculate compound interest for a given principal amount?
  2. What is the difference between arithmetic and geometric sequences?
  3. How to solve quadratic equations using the quadratic formula?
  4. What are the properties of logarithmic functions?
  5. How to find the derivative of a composite function using the chain rule?

Tip: When solving percentage problems, always ensure you correctly identify the initial and final values to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculations
Basic Arithmetic

Formulas

Percentage Decrease = ((Initial Value - Final Value) / Initial Value) * 100

Theorems

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Suitable Grade Level

Grades 5-7