A shop keeper offers a discount of 20% on a jacket and sales tax levied on the jacket is 15%.Quantity X: if a person first paid the tax then took the discount.Quantity Y: if a person first took the discount then paid the tax.

Explanation

The key to solving this question is recognizing that percentage calculations are independent of the order in which they are applied when both are applied consecutively to the same base amount. In both Quantity X and Quantity Y, the final price is calculated as 0.92x:For Quantity X, applying the tax first and then the discount gives us a final amount of 0.92x. Similarly, for Quantity Y, applying the discount first and then the tax also results in a final amount of 0.92x.This demonstrates that the sequence of applying a discount and a tax does not affect the final price. Therefore, the correct choice is that both quantities are equal.