1.

Commodities X and Y have equal price elasticity of supply. The supply of X rises from 400 units to 500 units due to a 20 per cent rise in its price. Calculate the percentage fall in supply of Y if its price falls by 8 per cent.

Answer»

Solution :In the given example, FIRST we will calculate Price ELASTICITY of Good X.

Percentage change in supply `=(DELTAQ)/(Q)xx100=(100)/(400)xx100=25%`
ES=`("Percentage change in quantity SUPPLIED")/("Percentage change in price ")=(25%)/(20%)=1.25`
Now, Price Elasticity of Good `Y=1.25` (as both X and Y have the same price elasticity.)
Let us now calculate `%` FALL in Supply for Y.

ES `=("Percentage Change in supply")/("Percentage Change in Price")`
`1.25=("Percentgae Change in supply")/(8)`
Percentage fall in supply `=10%`
Supply for Good Y will fall by `10%`


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