?when the price of a commodity is Rs,10 its quantity demand 200 units ...
Explanation
The given information is:
- Price of a commodity = Rs.10
- Quantity demand at this price = 200 units
- Price falls to Rs. 5
- Elasticity of demand = 1.5
Calculation of Percentage Change in Price
The percentage change in price can be calculated by using the following formula:
Percentage change in price = ((New price - Old price) / Old price) x 100
Here, the old price is Rs.10 and the new price is Rs.5. Substituting these values in the above formula, we get:
Percentage change in price = ((5 - 10) / 10) x 100 = -50%
Calculation of Percentage Change in Quantity
The percentage change in quantity can be calculated by using the following formula:
Percentage change in quantity = Elasticity of demand x Percentage change in price
Here, the elasticity of demand is given as 1.5 and the percentage change in price is -50%. Substituting these values in the above formula, we get:
Percentage change in quantity = 1.5 x (-50) = -75%
Interpretation of the Result
The result obtained from the above calculation indicates that the quantity demand for the commodity is elastic. This means that a small change in price leads to a relatively larger change in quantity demanded. In this case, a 50% decrease in price has resulted in a 75% increase in quantity demanded. Therefore, the demand for this commodity is highly responsive to changes in price.