Elasticity of Demand is given by the formula:
\(\dfrac{\Delta Q}{Q} \times \dfrac{\Delta P}{P}\)
Understanding the Elasticity of Demand Formula
Elasticity of Demand is a fundamental concept in economics that measures the responsiveness of the quantity demanded of a good or service to a change in its price, income, or the price of related goods. The question asks for the formula for Elasticity of Demand.
Based on the provided options and the indicated correct answer, the formula for Elasticity of Demand is given by:
\(\dfrac{\Delta Q}{Q} \times \dfrac{\Delta P}{P}\)
Let's break down the components of this formula:
- \(\Delta Q\): Represents the change in the quantity demanded. This is the difference between the new quantity demanded and the original quantity demanded.
- \(Q\): Represents the original quantity demanded before the change occurred.
- \(\dfrac{\Delta Q}{Q}\): This ratio represents the relative change in quantity demanded, often expressed as a decimal or fraction of the original quantity. Multiplying this by 100 gives the percentage change in quantity demanded.
- \(\Delta P\): Represents the change in the price of the good or service. This is the difference between the new price and the original price.
- \(P\): Represents the original price before the change occurred.
- \(\dfrac{\Delta P}{P}\): This ratio represents the relative change in price, often expressed as a decimal or fraction of the original price. Multiplying this by 100 gives the percentage change in price.
The formula presented calculates a value by multiplying the relative change in quantity demanded by the relative change in price. This value indicates how much the quantity demanded changes relative to a change in price, according to this specific formulation.
Looking at the given options, the formula \(\dfrac{\Delta Q}{Q} \times \dfrac{\Delta P}{P}\) corresponds to one of the choices provided for the Elasticity of Demand formula.
Analyzing the Elasticity of Demand Components
Understanding the individual parts of the formula is key to grasping the concept of Elasticity of Demand. The terms \(\dfrac{\Delta Q}{Q}\) and \(\dfrac{\Delta P}{P}\) capture the proportional changes, making the elasticity measure independent of the units used for quantity or price.
- Relative Change in Quantity Demanded = \(\dfrac{\text{Change in Quantity Demanded}}{\text{Original Quantity Demanded}}\)
- Relative Change in Price = \(\dfrac{\text{Change in Price}}{\text{Original Price}}\)
The formula essentially combines these relative changes to determine the elasticity value.
Revision Table: Key Terms in Elasticity
| Term | Meaning | Role in Elasticity Formula |
|---|---|---|
| Elasticity of Demand | Measures responsiveness of quantity demanded to price change (or other factors). | The concept being measured by the formula. |
| \(\Delta Q\) | Change in Quantity Demanded | Numerator of the relative quantity change. |
| \(Q\) | Original Quantity Demanded | Denominator of the relative quantity change. |
| \(\Delta P\) | Change in Price | Numerator of the relative price change. |
| \(P\) | Original Price | Denominator of the relative price change. |
| \(\dfrac{\Delta Q}{Q}\) | Relative Change in Quantity | Represents proportional change in quantity. |
| \(\dfrac{\Delta P}{P}\) | Relative Change in Price | Represents proportional change in price. |
Additional Information: Types of Elasticity
While the question specifically asks about the Elasticity of Demand in a general sense (which often refers to price elasticity), it's useful to know there are different types of demand elasticity:
- Price Elasticity of Demand (PED): Measures how quantity demanded changes in response to a price change. The standard formula involves dividing the percentage change in quantity demanded by the percentage change in price.
- Income Elasticity of Demand (YED): Measures how quantity demanded changes in response to a change in consumer income.
- Cross-Price Elasticity of Demand (CPED): Measures how quantity demanded of one good changes in response to a change in the price of another good.
Each type of elasticity uses a similar structure of relative changes, but with different variables (price of own good, income, price of related good) affecting the quantity demanded.
Important Questions from Demand
When percentage change in quantity demanded is less than the percentage change in price, i.e., if the good is price inelastic, the expenditure on the good would ______?
Demand is price inelastic for:
The Law of Demand may be defined as the one among the following. Choose the correct option.
Match List-I with List-II:
List-I List-II (A) NABARD (I) Women-oriented community-based poverty education program (B) Kudumbashree (II) Uses the mixed crop-livestock farming system (C) Animal husbandry (III) HYV seeds, chemical fertilizers (D) Organic farming (IV) Set up in 1982 Choose the correct answer from the options given below:
Which function of the central bank is referred to in the above paragraph?
