Question 16 Marks
Answer the following questions
(i) When price of a commodity falls by Rs 1 per unit, its quantity demanded rises by 3 units. Its Price Elasticity of Demand is (-) 2. Calculate its quantity demanded if the price before change was Rs 10 per unit.
(ii) A consumer buys 30 units of a good at a price of Rs. 10 per unit. Price elasticity of demand for the good is (-)1. How many units the consumer will buy at a price of Rs. 9 per unit Rs. Calculate.
(i) When price of a commodity falls by Rs 1 per unit, its quantity demanded rises by 3 units. Its Price Elasticity of Demand is (-) 2. Calculate its quantity demanded if the price before change was Rs 10 per unit.
(ii) A consumer buys 30 units of a good at a price of Rs. 10 per unit. Price elasticity of demand for the good is (-)1. How many units the consumer will buy at a price of Rs. 9 per unit Rs. Calculate.
Answer
View full question & answer→Answer the following questions
(i) Given, $\Delta P= Rs 1$ per unit, $\Delta Q=3$ units
$\begin{array}{l}
E_{d d}=(-) 2, P=R s 10 \\
E_{d}=\frac{\Delta Q}{\Delta P} \times \frac{P}{Q} \\
\text { or }(-) 2=\frac{3}{-1} \times \frac{10}{Q} \\
Q=\frac{3 \times 10}{2} \\
Q=15 \text { units }
\end{array}$
$\therefore$ Quantity demanded before change m price $=15$ units.
(ii) Given,
$\begin{array}{l}
Q_1=30 \\
Q_2=?
\end{array}$
$\begin{array}{l}P_1=R s .10 \\ P_2=R s .9 \\ E_d=-1 \\ E_d=\frac{\Delta Q}{Q} \times \frac{P}{\Delta P} \\ \Delta Q=Q_2-Q_1=Q_2-30 \\ \Delta P=P_2-P_1=9-10=-1 \\ -1=\times \frac{Q_2-30}{30} \times \frac{10}{-1} \\ 3=Q_2-30 \\ 33=Q_2\end{array}$
(i) Given, $\Delta P= Rs 1$ per unit, $\Delta Q=3$ units
$\begin{array}{l}
E_{d d}=(-) 2, P=R s 10 \\
E_{d}=\frac{\Delta Q}{\Delta P} \times \frac{P}{Q} \\
\text { or }(-) 2=\frac{3}{-1} \times \frac{10}{Q} \\
Q=\frac{3 \times 10}{2} \\
Q=15 \text { units }
\end{array}$
$\therefore$ Quantity demanded before change m price $=15$ units.
(ii) Given,
$\begin{array}{l}
Q_1=30 \\
Q_2=?
\end{array}$
$\begin{array}{l}P_1=R s .10 \\ P_2=R s .9 \\ E_d=-1 \\ E_d=\frac{\Delta Q}{Q} \times \frac{P}{\Delta P} \\ \Delta Q=Q_2-Q_1=Q_2-30 \\ \Delta P=P_2-P_1=9-10=-1 \\ -1=\times \frac{Q_2-30}{30} \times \frac{10}{-1} \\ 3=Q_2-30 \\ 33=Q_2\end{array}$