# The price elasticity of supply of good X is half the price elasticity of supply of good Y. A 10% rise in the price of good Y results in a rise in its supply from 400 units to 520 units. calculate the %age change in quantity supplied of good X when its price falls from Rs 10 to Rs 8 per unit.

Let initial quantity supplied (Q1) be 400 units
Final quantity supplied (Q2) be 520 units

Change in quantity supplied $\left(∆Q\right)$ =

According to the question,

Price elasticity of supply of good X$\frac{1}{2}×$ ​Price elasticity of supply of good Y

The negative sign denotes the percentage fall in the supply of good X.

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