Economy, asked by hjcthjfyjn, 6 months ago

A consumer buys 10 units of good X at a price of rupees 5 per unit the price elasticity of demand for this good is 2. The price fall ₹4 for unique how many units of good X will he now buy at this price
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Answers

Answered by pulakmath007
0

SOLUTION

GIVEN

A consumer buys 10 units of good X at a price of rupees 5 per unit the price elasticity of demand for this good is 2.

TO DETERMINE

The price fall ₹4 for unique how many units of good X will he now buy at this price

CONCEPT TO BE IMPLEMENTED

The price elasticity of demand

 \displaystyle \sf{-  \frac{P}{Q}  \times  \frac{\Delta Q  }{\Delta P  }  }

EVALUATION

Let n units of good X he will buy at this price fall ₹ 4

Now

P = 5 , Q = 10

 \sf{ \Delta P = 4 - 5  =  - 1}

 \sf{ \Delta Q = n - 10  }

Now it is given that the price elasticity of demand is 2

 \displaystyle \sf{-  \frac{P}{Q}  \times  \frac{\Delta Q  }{\Delta P  } = 2 }

 \displaystyle \sf{  \implies  -  \frac{5}{10}  \times  \frac{n - 10  }{ - 1  } = 2 }

 \displaystyle \sf{  \implies  n - 10  = 4 }

 \displaystyle \sf{  \implies  n   = 14 }

FINAL ANSWER

Hence the required number of units = 14

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