Kumar used to eat 30 samosas in a month when the price of each samosa

Kumar used to eat 30 samosas in a month when the price of each samosa was ₹12. When the price of samosa increased to ₹15 per piece, he eats only 20 samosas a month. What is the price elasticity of demand for samosa by Kumar ?

1.33
1.00
0.75
0.08
This question was previously asked in
UPSC CAPF – 2020
Price Elasticity of Demand (Ed) is calculated as the absolute value of the ratio of the percentage change in quantity demanded to the percentage change in price.
Initial Price (P1) = ₹12, Initial Quantity (Q1) = 30 samosas
New Price (P2) = ₹15, New Quantity (Q2) = 20 samosas
Change in Quantity (ΔQ) = Q2 – Q1 = 20 – 30 = -10
Change in Price (ΔP) = P2 – P1 = 15 – 12 = 3
Percentage change in quantity demanded = (ΔQ / Q1) * 100 = (-10 / 30) * 100 = -33.33%
Percentage change in price = (ΔP / P1) * 100 = (3 / 12) * 100 = 25%
Price Elasticity of Demand (Ed) = |(Percentage change in quantity demanded) / (Percentage change in price)| = |-33.33% / 25%| = |-1.333…| = 1.33
The price elasticity of demand measures the responsiveness of the quantity demanded of a good to a change in its price. A value greater than 1 indicates elastic demand.
The calculation uses the initial price and quantity as the base for percentage changes. The result of 1.33 suggests that the demand for samosas is elastic for Kumar, meaning a 1% increase in price leads to a more than 1% decrease in quantity demanded.
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