If delta P/ P =0.2 and price elasticity is -2 calculate percentage fal...
Calculation of Percentage Fall in Demand:
The formula to calculate price elasticity of demand is:
Price Elasticity of Demand (Ep) = (Percentage Change in Quantity Demanded / Percentage Change in Price)
Given that the price elasticity of demand is -2, we can use this formula to find the percentage change in quantity demanded.
Ep = -2
Percentage Change in Quantity Demanded / Percentage Change in Price = -2
We are given that the percentage change in price (delta P/P) is 0.2. To find the percentage change in quantity demanded, we can rearrange the formula as follows:
Percentage Change in Quantity Demanded = Ep * Percentage Change in Price
Percentage Change in Quantity Demanded = -2 * 0.2 = -0.4
Therefore, the percentage fall in demand is 0.4 or 40%.
Calculation of Original Expenditure:
To calculate the original expenditure, we need to know the original price and the original quantity demanded. We are given the new expenditure, which is $180, and the price at which it is calculated, which is $6.
The formula to calculate expenditure is:
Expenditure = Price * Quantity Demanded
Let's assume the original quantity demanded is Q1 and the original price is P1.
New Expenditure = $180
Price = $6
Using the formula, we have:
New Expenditure = Price * Quantity Demanded
$180 = $6 * Quantity Demanded
To find the original expenditure, we need to find the original quantity demanded. Rearranging the formula, we have:
Original Quantity Demanded = New Expenditure / Price
Original Quantity Demanded = $180 / $6
Original Quantity Demanded = 30
Now, we can calculate the original expenditure using the original quantity demanded and the original price:
Original Expenditure = Price * Original Quantity Demanded
Original Expenditure = $6 * 30
Original Expenditure = $180
Therefore, the original expenditure is $180.
In summary, the percentage fall in demand is 40% and the original expenditure is $180.
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