a consumer purchases 20 units at the price of rs 10 per unit.the price elasticity of demand is (-1).if price decreases and becomes rs 8 per unit,calculate the quantity demanded by the consumers
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Explanation:
Formula of elasticity of demand is
ep = ♢Q ÷ ♢P × P ÷ Q (♢= change , Q= quantity demanded , P= Price)
ATQ,
ep= -1 Q= 20, P= 10, ♢Q= x ♢P= 10-8=2
Putting the values in formula we get
=》-1 = x ÷ 2 × 10 ÷ 20
=》-1 = x÷ 2 × 1 / 2
=》-1 = x ÷ 4
=》x = -4
Now ♢Q = Original Q demanded - change
= 20 - (-4)
= 20 + 4
= 24.
So quantity demanded = 24
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