The price elasticity of demand measures how the quantity demanded of a good responds to a change in its price. It is defined as the percentage change in quantity demanded divided by the percentage change in price:
E_d = \(\frac{\%\Delta Q_d}{\%\Delta P}\)
In this scenario, the price of the good decreases from Rs 30 to Rs 25, but the quantity demanded does not change. Let's break down the calculation:
Variable | Initial Value | New Value |
---|---|---|
Price | Rs 30 | Rs 25 |
Quantity Demanded | Q (unchanged) | Q |
Step 1: Calculate the percentage change in price:
\(\%\Delta P = \frac{\text{New Price} - \text{Old Price}}{\text{Old Price}} \times 100 = \frac{25 - 30}{30} \times 100 = -16.67\%\)
Step 2: Calculate the percentage change in quantity demanded:
\(\%\Delta Q_d = \frac{\text{New Quantity} - \text{Old Quantity}}{\text{Old Quantity}} \times 100 = \frac{Q - Q}{Q} \times 100 = 0\%\)
Step 3: Calculate the price elasticity of demand using the formula:
E_d = \(\frac{0\%}{-16.67\%} = 0\)
Since the price elasticity of demand is 0, the demand is Perfectly Inelastic. This indicates that the quantity demanded does not change regardless of the price change.