All Exams Test series for 1 year @ ₹349 only
Question

A consumer spends ₹ 240 when the price of the commodity is ₹ 15 and ₹ 300 when the price rises to ₹ 20. The elasticity of demand is :

The correct answer is
$\frac{3}{20}$

Price Elasticity of Demand Calculation

This solution determines the Price Elasticity of Demand (PED) using the provided consumer spending and price data.

Initial Calculations

Initial Quantity ($Q_1$) = Expenditure / Price = ₹ 240 / ₹ 15 = 16 units.

Final Quantity ($Q_2$) = Expenditure / Price = ₹ 300 / ₹ 20 = 15 units.

Change in Price ($\Delta P$) = Final Price ($P_2$) - Initial Price ($P_1$) = ₹ 20 - ₹ 15 = ₹ 5.

Change in Quantity ($\Delta Q$) = Final Quantity ($Q_2$) - Initial Quantity ($Q_1$) = 15 units - 16 units = -1 unit.

Elasticity Formula and Result

The Price Elasticity of Demand (PED) measures the responsiveness of quantity demanded to a change in price. The formula is:

$ PED = \left| \frac{\% \text{ Change in Quantity Demanded}}{\% \text{ Change in Price}} \right| $

This can also be written using the initial values as:

$ PED = \left| \frac{\Delta Q / Q_1}{\Delta P / P_1} \right| $

Substituting the calculated values:

$ PED = \left| \frac{-1 / 16}{5 / 15} \right| $

The calculated Elasticity of Demand is:

$ \frac{3}{20} $

Was this answer helpful?

Important Questions from Demand analysis

  1. If the gross elasticity of demand is negative, the two products in consideration are __________ products.
  2. For a linear demand curve, which of the following is true ?
  3. In the above diagram, if curve IC represents income - consumption curve, then it means that :

  4. Which one of the following demands states consumers are adequately buying all the products put into the marketplace?

  5. Given below are two statements. one labelled as Assertion (A) and the other labelled as Reason (R).

    Assertion (A): Auto companies and other consumer goods companies offer cash rebates to encourage purchase of the manufacturer's products within a specified period 

    Reason (R): The same product is priced differently at different times 

    In the context of the two statements above related to pricing strategy, which one of the following options is correct? 

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App