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20 October, 02:35

Each Saturday, a store reduces the price of any unsold item by

10%. If an item was priced at $80, on Saturday of the first week it

is marked down to $72. At the end of the second week, it drops

to $64.80, and at the end of the third week the price is decreased

to $58.32. If this continues for 10 weeks, what should be the

selling price for an item that was originally priced at $80?

a-$27.89

b-$30.99

c-$52.11

d-$8.00

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Answers (1)
  1. 20 October, 03:00
    0
    The correct option is a-$27.89

    The selling price for an item would be $27.89 after the 10th week which was originally priced at $80.

    Step-by-step explanation:

    Each week, a store reduces the price of any unsold item by 10%

    If this continues for 10 weeks, what should be the selling price for an item that was originally priced at $80?

    The reduced price of the unsold item is given by

    Initial price * (1 - discount) ⁿ

    Where discount is 0.10 and n is the week number

    After 1st week:

    $80 (1 - 0.10) ¹

    $80 (0.90) ¹

    $72

    After 2nd week:

    $80 (1 - 0.10) ²

    $80 (0.90) ²

    $64.80

    After 3rd week:

    $80 (1 - 0.10) ³

    $80 (0.90) ³

    $58.32

    Similarly, we can find the price of the unsold item for the 10th week by substituting n = 10

    After 10th week:

    $80 (1 - 0.10) ¹⁰

    $80 (0.90) ¹⁰

    $27.89

    Therefore, the selling price for an item would be $27.89 after the 10th week which was originally priced at $80.
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