Answered

  1. STEREO SALE
    Williams & Son Department Store was going
    out of business. At first they had all of the
    electronics marked at 10% off. They then
    marked everything down an additional 25%
    from the last posted price.
    What is the current price of a stereo set that
    originally cost $189?
    2.3

Verified Answer :

GinnyAnswer

Let's solve the problem step-by-step to find the current price of a stereo set that originally cost \($189, taking into consideration the discounts applied in sequence. 1. Initial Price: The original price of the stereo set is $\)189.

2. First Discount:
The first discount applied is 10%.
To find the new price after this discount, we calculate 10% of \($189 and subtract it from the original price. \[ \text{First discount} = 189 \times 0.10 = 18.90 \] Then, subtract this discount from the original price: \[ \text{Price after first discount} = 189 - 18.90 = 170.10 \] 3. Second Discount: The second discount is 25% off the price obtained after the first discount. To find the new price after this second discount, we calculate 25% of $\)170.10 and subtract it from the price after the first discount.

\(\[ \text{Second discount} = 170.10 \times 0.25 = 42.525 \]\)

Then, subtract this discount from the price after the first discount:

\(\[ \text{Final price} = 170.10 - 42.525 = 127.575 \]\)

Therefore, the current price of the stereo set after both discounts is approximately $127.58 (rounded to two decimal places).

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