Step 1: Understanding the Concept:
The relationship between the price of a commodity and the quantity demanded is explained by the Law of Demand. The law states that, other things being equal (ceteris paribus), the quantity demanded of a commodity is inversely related to its price.
This means:
\begin{itemize}
\item When the price of a commodity falls, its quantity demanded rises.
\item When the price of a commodity rises, its quantity demanded falls.
\end{itemize}
Step 2: Detailed Explanation:
This inverse relationship occurs due to two main effects:
\begin{enumerate}
\item Income Effect: When the price of a commodity falls, the real income (or purchasing power) of the consumer increases. They can now buy more of the same commodity with the same amount of money.
\item Substitution Effect: When the price of a commodity falls, it becomes relatively cheaper compared to its substitutes. Consumers will therefore substitute this cheaper good for other, now relatively more expensive, goods.
\end{enumerate}
The combined result of the income and substitution effects is that a lower price leads to a higher quantity demanded, and vice versa.
Step 3: Explanation with Diagram:
The relationship is represented by a downward-sloping demand curve.
\begin{center}
\begin{tikzpicture}
\draw[->] (0,0) -- (6,0) node[right] {Quantity Demanded};
\draw[->] (0,0) -- (0,5) node[above] {Price};
\draw[thick, color=blue] (1,4) -- (4,1) node[right] {DD (Demand Curve)};
\draw[dashed] (1.5, 3.5) -- (1.5, 0) node[below] {$Q_1$};
\draw[dashed] (1.5, 3.5) -- (0, 3.5) node[left] {$P_1$};
\draw[dashed] (3.5, 1.5) -- (3.5, 0) node[below] {$Q_2$};
\draw[dashed] (3.5, 1.5) -- (0, 1.5) node[left] {$P_2$};
\fill (1.5, 3.5) circle (2pt) node[above right] {A};
\fill (3.5, 1.5) circle (2pt) node[above right] {B};
\end{tikzpicture}
\end{center}
In the diagram above:
\begin{itemize}
\item The Y-axis represents the Price and the X-axis represents the Quantity Demanded.
\item DD is the demand curve, which slopes downwards from left to right.
\item At the initial price \(P_1\), the quantity demanded is \(Q_1\) (Point A).
\item When the price falls from \(P_1\) to \(P_2\), the quantity demanded expands from \(Q_1\) to \(Q_2\) (a movement along the curve from Point A to Point B). This is called extension or expansion of demand.
\item Conversely, if the price were to rise from \(P_2\) to \(P_1\), the quantity demanded would contract from \(Q_2\) to \(Q_1\). This is called contraction of demand.
\end{itemize}
Step 4: Final Answer:
Changes in the price of a commodity cause a change in the quantity demanded, leading to a movement along the same demand curve. A decrease in price causes an expansion in demand, while an increase in price causes a contraction in demand, illustrating an inverse relationship.