a stereo is discounted at p4500, if this is a 15% decrease, what is the original price? (ful solution and answer with the solution %=y-x divided by x, y mean current price, and x means previous price)

We are given that the stereo's price is discounted by ₱4500, which corresponds to a 15% decrease. To find the original price (denoted as \( x \)), we will use the formula you provided:

\[
\text{Percentage Decrease} = \frac{y - x}{x}
\]

Where:
- \( y \) is the current (discounted) price,
- \( x \) is the original price (the value we are solving for).

### Step-by-step Solution:

1. **Identify the given values:**
   - Percentage decrease = 15% = 0.15 (as a decimal),
   - \( y - x = 4500 \) (since the discount is ₱4500).

2. **Substitute into the formula:**
   \[
   0.15 = \frac{4500}{x}
   \]

3. **Solve for \( x \):**
   - Multiply both sides of the equation by \( x \) to isolate the denominator:
   \[
   0.15x = 4500
   \]
   - Divide both sides by 0.15 to solve for \( x \):
   \[
   x = \frac{4500}{0.15}
   \]
   \[
   x = 30,000
   \]

Thus, the original price of the stereo is **₱30,000**.

### Conclusion:
The stereo was originally priced at ₱30,000 before the 15% discount of ₱4500.

Would you like more details or have any other questions?

Here are 5 related questions you could consider:
1. What would the original price be if the discount was 20% instead?
2. If the stereo was originally ₱30,000 and received a 10% discount, what is the new price?
3. How would the solution change if we knew the discounted price instead of the amount of the discount?
4. What is the formula for calculating a percentage increase?
5. How do we calculate the original price if both the percentage and the discounted price are given?

**Tip:** When solving percentage decrease problems, converting the percentage into a decimal form (e.g., 15% = 0.15) is essential for accurate calculation.

A stereo is discounted at ₱4500. If this is a 15% decrease, what is the original price?

Find the original price of a stereo that has a 15% discount, reducing its price by ₱4500. Learn the step-by-step solution using percentage decrease and algebraic formulas. Perfect for students in Grades 7-10 learning algebra and percentage problems.

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