Final Price Calculation After Price Adjustments

A company implemented a new pricing strategy where the price of a product is first increased by 20% and then a discount of 10% is applied to the increased price. If the original price of the product was $P$, what will be the final price of the product after these two adjustments?

Let’s break it down step by step:

1. The price after the 20% increase is: $P' = P + 0.2P = 1.2P$.

2. The price after the 10% discount on $P'$ is: $F = P' - 0.1P' = 0.9P' = 0.9 imes 1.2P$.

Calculate the final price $F$ in terms of $P$.