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when the price of a commodity is Rs,10 its quantity demand 200 units find the change in quantity demand when its price fall to Rs,5 the elasticity demand is given as 1.5?
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?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.
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