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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} $

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Important Questions from Demand analysis

  1. The supply curve of cars is expected to shift rightwards with:

    i. An increase in the price of cars

    ii. A decrease in fuel prices

  2. The supply curve of a normal good is ____________ sloping. It depicts ___________  on the x-axis and ___________ on the y-axis.

  3. The demand curve gives the quantity demanded by the consumer at each ____________.

  4. Which of the following statements is INCORRECT in the context of demand function?

  5. Marginal Product is defined as:

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