Question
A consumer spends ₹ 80 on a commodity when price is ₹ 1 per unit. If the price increases by ₹ 1, what would be his expenditure. PED = -0.4?

Answer

Initial Price (P) = 1

Initial Expenditure = 80

Initial Quantity (Q) $=\frac{\text{Exp.}}{\text{Price}}=80$

New Price (P1) = 2

New Expenditure = ?

New Quantity (Q1) = ?

​​​​$\Delta \text{P} = 1$   $\Delta\text{Q} = ?$

$\text{PED}=\frac{\Delta\text{Q}}{\Delta\text{P}}\times\frac{\text{P}}{\text{Q}}$

$-0.4=\frac{\Delta\text{Q}}{1}\times\frac{1}{80}$

$-32=\Delta \text{Q}$

As New Price is increasing from 1 to 2, quantity demanded must decrease by $\Delta\text{Q}.$

New Quantity = Initial Quantity + $\Delta\text{Q}=80+(-32)=48$

At Price = 2, Quantity demanded = 48.

The Expenditure at this Price = P × Q = 2 × 48 = 96

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