Correct option is A

Given:

The initial price of the jacket is 100. The store first decreases the price by 30%, then increases the sale price by 10%.

Solution:

Step 1: Price decrease by 30%

The price after a 30% decrease is calculated as:

Initial Price = 100

New price after decrease = 100 - 30% of 100 = 100 - 30 = 70

Step 2: Price increase by 10% on the reduced price

Now, the price increases by 10% of 70:

New price after increase = 70 + 10% of 70 = 70 + 7 = 77

Net Percentage Change:

The net percentage change is calculated as:

Net Percentage Change = ((Final Price - Initial Price) / Initial Price) * 100

Net Percentage Change = ((77 - 100) / 100) * 100 = (-23 / 100) * 100 = -23%

Conclusion:

The net percentage change in the price of the jacket is a decrease of 23%.