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### Given Data:
1. **Initial price of rice** \( (P_1) \): Rp 4,000 per kg
2. **Quantity demanded at initial price** \( (Q_1) \): 10,000 kg
3. **New price of rice** \( (P_2) \): Rp 3,000 per kg
4. **Quantity demanded at new price** \( (Q_2) \): 15,000 kg

### Formula for Price Elasticity of Demand:
The price elasticity of demand \( (E_d) \) is calculated using the following formula:

\[
E_d = \frac{\left( \frac{Q_2 - Q_1}{Q_1} \right)}{\left( \frac{P_2 - P_1}{P_1} \right)}
\]

Where:
- \( Q_1 \) and \( Q_2 \) are the initial and new quantities demanded,
- \( P_1 \) and \( P_2 \) are the initial and new prices.

### Step 1: Calculate the percentage change in quantity demanded
\[
\frac{Q_2 - Q_1}{Q_1} = \frac{15,000 - 10,000}{10,000} = \frac{5,000}{10,000} = 0.5
\]

This is a **50% increase** in the quantity demanded.

### Step 2: Calculate the percentage change in price
\[
\frac{P_2 - P_1}{P_1} = \frac{3,000 - 4,000}{4,000} = \frac{-1,000}{4,000} = -0.25
\]

This is a **25% decrease** in the price.

### Step 3: Calculate the price elasticity of demand
Now, substitute the values into the elasticity formula:

\[
E_d = \frac{0.5}{-0.25} = -2
\]

### Interpretation:
- The price elasticity of demand \( E_d = -2 \), which means that the demand is **elastic**. A 1% decrease in the price of rice leads to a 2% increase in the quantity demanded.

### Second part of the question:
If the price increases, the price elasticity will still be the same in magnitude but will lead to a decrease in demand, assuming the same elastic response.

Would you like a deeper explanation or have any questions?

Here are 5 related questions you can explore:

1. What does it mean when demand is "elastic" vs. "inelastic"?
2. How do factors like necessity and availability of substitutes affect price elasticity?
3. Can the elasticity coefficient ever be positive?
4. What would happen if the price of rice increased back to Rp 4,000/kg?
5. How is income elasticity of demand different from price elasticity?

**Tip:** Elasticity greater than 1 indicates elastic demand, meaning consumers are highly responsive to price changes.

Pada saat harga beras Rp 4.000/kg, jumlah beras yang dibeli konsumen adalah 10.000 kg. Ketika harga turun menjadi Rp 3.000/kg, jumlah beras yang dibeli bertambah menjadi 15.000 kg. Berapa besar koefisien elastisitas permintaan dari penurunan harga tersebut? Apabila harga naik, berapa besar koefisien elastisitasnya?

Learn how to calculate the price elasticity of demand when the price of rice drops from Rp 4,000/kg to Rp 3,000/kg. The quantity demanded increases from 10,000 kg to 15,000 kg. This tutorial includes the detailed step-by-step solution, making it ideal for high school economics students.

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