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A consumer purchased 10 units of a commodity when its price was ₹ 5 per unit. He purchases 12 units of the commodity when price falls to ₹ 4 per unit. - Economic Applications

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प्रश्न

A consumer purchased 10 units of a commodity when its price was ₹ 5 per unit. He purchases 12 units of the commodity when price falls to ₹ 4 per unit. Calculate the price elasticity of demand for the commodity.

संख्यात्मक

उत्तर

To calculate the price elasticity of demand (Ed), we use the following formula:

Price Elasticity of Demand (Ed) = `("Percentage Change in Quantity Demanded")/("Percentage Change in Price")`

Calculate the Percentage Change in Quantity Demanded:

Initial Quantity Demanded (Q1): 10 units

New Quantity Demanded (Q2): 12 units

Percentage Change in Quantity Demanded = `(Q2-Q1)/(Q1)xx100`

= `(12-10)/10xx100 = 2/10xx100=20%`

Calculate the Percentage Change in Price:

Initial Price (P1): ₹5 per unit

New Price (P2): ₹4 per unit

Percentage Change in Price = `(P2-P1)/(P1)xx100`

= `(4-5)/5xx100=(-1)/5xx100=-20%`

Calculate the Price Elasticity of Demand:

Ed = `(20%)/(-20%)=-1`

Since elasticity is often expressed as a positive number (ignoring the sign), the price elasticity of demand is 1.

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अध्याय 2: Elasticity of Demand - QUESTIONS [पृष्ठ ४४]

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गोयल ब्रदर्स प्रकाशन Economic Application [English] Class 10 ICSE
अध्याय 2 Elasticity of Demand
QUESTIONS | Q 19. | पृष्ठ ४४
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