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$\backslash$table$[[,$Cost,Retail,$\backslash$table$[[$Cost$-$to$-],[$Retail$],[$Ratio$]]],[$Beginning inventory,$27,500,45,000,],[$Add: Purchases,$282,000$vv$,490,000,],[$Add: Freight$-$in$,26,500$vv$,0$vv$,],[$Less: Purchase returns,$(6,500)$vv$,(10,000)$vv$,],[$Add: Net markups,$0,25,000$vv$,],[$Less: Purchase discounts,$(5,000)$vv$,0,],[,550,000$vv$,],[$Less: Net markdowns,,$10,000$vv$,],[$Goods available for sale,$$,324,500$vv$,540,000$vv$,],[$Cost$-$to$-$retail percentage,,,$59\mathrm{.}00\%],[$Less: Net sales$],[$Sales$,$$$,492,000$vv$,,],[$Sales returns,$5,000$vv$,,],[$Employee discounts,$3,000$vv$,,],[$Estimated ending inventory at retail,,$50,000$vv$,],[$Estimated ending inventory at cost$,29,500$vv$,,]]$Raleigh Department Store uses the conventional retail method for the year ended December $31,2022.$ Available information follows:

The inventory at January $1,2022,$ had a retail value of $$45,000$ and a cost of $$27,500$ based on the conventional retail method.

Transactions during $2022$ were as follows:

Cost Retail

Gross purchases $ $282,000$ $ $490,000$

Purchase returns $6,50010,000$

Purchase discounts $5,000$

Sales $492,000$

Sales returns $5,000$

Employee discounts $3,000$

Freight$-$in $26,500$

Net markups $25,000$

Net markdowns $10,000$

Sales to employees are recorded net of discounts.

The retail value of the December $31,2023,$ inventory was $$56,100,$ the cost$-$to$-$retail percentage for $2023$ under the LIFO retail method was $62\%,$ and the appropriate price index was $102\%$ of the January $1,2023,$ price level.

The retail value of the December $31,2024,$ inventory was $$48,300,$ the cost$-$to$-$retail percentage for $2024$ under the LIFO retail method was $61\%,$ and the appropriate price index was $105\%$ of the January $1,2023,$ price level.