A furniture store has a sale during which the sale price of the sofa is 1/3 off its original price the original price of the sofa is 1,029.00, a customer can get an additional 5%off discount off the sale price for paying with cash , at checkout a 6.5% sales tax on the final price is added to the cost of the sofa . what is the total cost of the sofa ,including sales tax , for a customer paying with cash ? pls help =(

FINAL PAYMENT FOR SOFA; after sale discount, sales tax & cash discount = 694.07

Original Price of Sofa = 1029

During discount, Sale Price of Sofa = 1/3 off original price

So, discount off = 1/3 x 1029 = 343

Additional sales tax = 6.5% on final price

So, Sales Tax = 6.5% of 686 = 44.59

Cash payment discount = 5% on total sales value

So, cash discount = 5% of 730.59 = 36.52

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Step-by-step explanation:

Since the original price of the sofa is 1,029.00 and the sale price of the sofa is 1/3 the original price, it means that the sale price is

1/3 × 1029 = 343

A customer can get an additional 5%off discount off the sale price for paying with cash. This means that the amount that this customer would pay since he is paying cash is

343 - (5/100 × 343) = 325.85

Since at checkout, a 6.5% sales tax on the final price is added to the cost of the sofa, then the total cost of the sofa for this customer is

325.85 + (6.5/100 × 325.85) = 347.03025