Question 16 Marks
(i) A consumer buys 18 units of a good at a price of Rs 9 per unit. The price elasticity of demand for the good is (-)1. How many units the consumer will buy at a price of Rs 10 per unit. Calculate.
(ii) Price elasticity of demand of goods is (-) 4. When price of the goods falls, its demand rises by 24 percentage. Calculate percentage change in price
(ii) Price elasticity of demand of goods is (-) 4. When price of the goods falls, its demand rises by 24 percentage. Calculate percentage change in price
Answer
View full question & answer→(i) Given,
Elasticity of Demand $( Ed )=(-) 1$
Old Price $( P )=$ Rs 9; New Price $=10$
Change in Price $( P )= X 1$ Old Quantity $( Q \Delta)=18$ units, New Quantity $= x$
Change in Quantity $(\Delta Q )= X -18$.
Now, we know, $E _{ d }=\frac{P}{Q} \times \frac{\Delta Q}{\Delta P}$
$-1=\frac{9}{18} \times \frac{x-18}{1}$
$-1=\frac{x-18}{2}$, or $-2=x-18$
or $x=18-2=16$ units
$\therefore$ Consumer will buy 16 units at the price of Rs 10 per unit.
(ii) Given, $Ed =(-) 4, \%$ Change in Demand $=24 %$
To find \% change in price.
$E_{d}=\frac{\text { Percentage Change in Demand }}{\text { Percentage Change in Price }}$
or $(-) 4=\frac{24}{\text { Percentage Change in Price }}$
$\therefore$ Percentage Change in Price $=-\frac{24}{4}=-6$
$\therefore$ Percentage Change in Price $=(-) 6$
means price decreases by 6 percent.
Elasticity of Demand $( Ed )=(-) 1$
Old Price $( P )=$ Rs 9; New Price $=10$
Change in Price $( P )= X 1$ Old Quantity $( Q \Delta)=18$ units, New Quantity $= x$
Change in Quantity $(\Delta Q )= X -18$.
Now, we know, $E _{ d }=\frac{P}{Q} \times \frac{\Delta Q}{\Delta P}$
$-1=\frac{9}{18} \times \frac{x-18}{1}$
$-1=\frac{x-18}{2}$, or $-2=x-18$
or $x=18-2=16$ units
$\therefore$ Consumer will buy 16 units at the price of Rs 10 per unit.
(ii) Given, $Ed =(-) 4, \%$ Change in Demand $=24 %$
To find \% change in price.
$E_{d}=\frac{\text { Percentage Change in Demand }}{\text { Percentage Change in Price }}$
or $(-) 4=\frac{24}{\text { Percentage Change in Price }}$
$\therefore$ Percentage Change in Price $=-\frac{24}{4}=-6$
$\therefore$ Percentage Change in Price $=(-) 6$
means price decreases by 6 percent.
