Question:

If the price elasticity of demand for a commodity is -2.5 and the percentage decrease in the quantity demanded is 10%, find out the percentage change in its price.

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Pay close attention to the signs (positive or negative) when calculating price elasticity. A negative Ed indicates an inverse relationship between price and quantity demanded.
  • 25%
  • -25%
  • 4%
  • -4%
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The Correct Option is C

Solution and Explanation

Price elasticity of demand (Ed) is calculated as: Ed = (% Change in Quantity Demanded) / (% Change in Price).
Given Ed = -2.5 and % Change in Quantity Demanded = -10%
(because it's a decrease), we have:
-2.5 = (-10) / (% Change in Price)
% Change in Price = (-10) / (-2.5) = 4%
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