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The demand for Good X is 300 units when its price is £4. Assume that as a result of a price fall, the demand for the good increases to 400 units and the sales revenue falls by £400. Calculate the price of Good X after the fall.

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Final answer:

After a fall in price that increased demand for Good X from 300 to 400 units and decreased sales revenue by £400, the new price of Good X is calculated to be £2 per unit.

Step-by-step explanation:

The question asks us to calculate the new price of Good X after its demand increased from 300 units at £4 to 400 units as a result of a price fall, and knowing the sales revenue fell by £400. To find the new price, we need to use the information about the changes in quantity demanded and sales revenue.

Initial revenue was 300 units × £4 = £1200. The sales revenue decrease by £400 implies the new revenue is £1200 - £400 = £800. With a demand of 400 units at the new price, we calculate the new price by dividing the total sales revenue by the quantity demanded: £800 ÷ 400 units = £2 per unit.

Therefore, the price of Good X after the fall is £2.

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