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21 June, 05:28

Whenever Art Dealer sells a sculpture, he earns a 20 percent commission on the first $12,000 of the sale price plus 15 percent of the sale price in excess of $12,000. If Art earned a $3,900 commission on the sale of a certain sculpture, what was the sale price?

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  1. 21 June, 05:43
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    sale price is $22000

    Explanation:

    given data

    sale price p1 = $12000

    excess sale price p2 = $12000

    earn r1 = 20%

    earn r2 = 15%

    total earn E = $3900

    to find out

    sale price

    solution

    we consider here sale price is x

    so according to question

    total earn will be

    total earn = p1 * r1 + (x - p2) r2

    put here value

    total earn = p1 * r1 + (x - p2) r2

    3900 = 1200 * 20% + (x - 12000) 15%

    x = 22000

    so sale price is $22000
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