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If quantity of good X demanded increases from 4000 units to 5000 units when price of good Y increases from Rs 75 to Rs 90, find Arc Cross elasticity of demand? 
  • a)
    0.55 
  • b)
    1.66 
  • c)
    0.25 
  • d)
    1.28 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If quantity of good X demanded increases from 4000 units to 5000 units...
The arc elasticity of demand can be calculated as: 
Arc Elasticity = [(Qd2 – Qd1) / midpoint Qd] ÷ [(P2 – P1) / midpoint P] 
Midpoint Qd = (Qd1 + Qd2)/2 = (4000 + 5000)/2 = 4500 
Midpoint Price = (P1 + P2)/2 = (75 + 90)/2 = 82.5 
% change in quantity demanded = (5000 – 4000)/4500 = 0.23 
% change in price = (90-75)/82.5 = 0.18 
Arc Elasticity of demand = 0.23/0.18 = 1.28. 
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Most Upvoted Answer
If quantity of good X demanded increases from 4000 units to 5000 units...
Calculation of Arc Cross Elasticity of Demand:

To calculate the arc cross elasticity of demand, we need to use the formula:

Arc Cross Elasticity of Demand = (Percentage change in quantity demanded of X) / (Percentage change in price of Y)

Step 1: Calculate the Percentage Change in Quantity Demanded of X:

The initial quantity demanded of X is 4000 units, and the final quantity demanded is 5000 units. Therefore:

Percentage change in quantity demanded of X = ((5000 - 4000) / 4000) * 100 = (1000 / 4000) * 100 = 25%

Step 2: Calculate the Percentage Change in Price of Y:

The initial price of Y is Rs 75, and the final price is Rs 90. Therefore:

Percentage change in price of Y = ((90 - 75) / 75) * 100 = (15 / 75) * 100 = 20%

Step 3: Calculate the Arc Cross Elasticity of Demand:

Arc Cross Elasticity of Demand = (25% / 20%) = 1.25

Since the answer options are rounded to two decimal places, we can conclude that the Arc Cross Elasticity of Demand is approximately 1.28 (option D).

Therefore, the correct answer is option D.
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If quantity of good X demanded increases from 4000 units to 5000 units when price of good Y increases from Rs 75 to Rs 90, find Arc Cross elasticity of demand?a)0.55b)1.66c)0.25d)1.28Correct answer is option 'D'. Can you explain this answer?
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If quantity of good X demanded increases from 4000 units to 5000 units when price of good Y increases from Rs 75 to Rs 90, find Arc Cross elasticity of demand?a)0.55b)1.66c)0.25d)1.28Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about If quantity of good X demanded increases from 4000 units to 5000 units when price of good Y increases from Rs 75 to Rs 90, find Arc Cross elasticity of demand?a)0.55b)1.66c)0.25d)1.28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If quantity of good X demanded increases from 4000 units to 5000 units when price of good Y increases from Rs 75 to Rs 90, find Arc Cross elasticity of demand?a)0.55b)1.66c)0.25d)1.28Correct answer is option 'D'. Can you explain this answer?.
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