Sequences and series question?

At a a local grocery store, the bananas they receive go through three stages:


from the farmer to the market, market to the wholsaler,


and from the wholsaler to the grocery store.


At each stage, the price of the bananas increase by 20% of the previous price.


If a person buys 80cents worth of bannas at the grocery store,


how much was the farmer paid for those bananas?|||Let the price the farmer sold the bananas for equal x. Then the market sold it for 1.2x, and the wholesaler sold it for 1.44x, and the grocery store sold it for 1.728x. Then 1.728x = 0.80 or x = 0.46. The farmer sold his bananas for 46 cents.