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 $(P_1) = 2$ New Expenditure $= ?$ New Quantity $(Q_1) = ?$
​​​​$\Delta \text{P} = 1$   $\Delta\text{Q} = ?$
$\text{PED}=\frac{\Delta\text{Q}}{\Delta\text{P}}\times\frac{\text{P}}{\text{Q}}$
$-0.4=\frac{\Delta\text{Q}}{1}\times\frac{1}{80}$
$-32=\Delta \text{Q}$
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 $= P \times Q = 2 \times 48 = 96$

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