How much should it be sold to yield a 10% profit
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# How much should it be sold to yield a 10% profit

[From: ] [author: ] [Date: 11-05-25] [Hit: ]
If you want to make 10% profit, or 10% more than cost, you need to sell the TV at X + 0.1X, or 1.(1.......
A television was marked \$94,640 to yield a 30% profit. How much should it be sold to yield a 10% profit?

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If X is the cost only of the TV, then
94,640=X+0.3X
94640=1.3X
Divide both sides by 1.3 to get X
72800 = X

The original cost is 72800. If you want to make 10% profit, or 10% more than cost, you need to sell the TV at X + 0.1X, or 1.1 X

(1.1)*(72800)= 80080

Sell the TV at \$80,080.

Boy, that is one expensive TV at \$94,640...

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Marked price = \$94,640
to yield a 30% profit
Hence cost price =\$94,640 /{1+profit%/100}
=\$94,640 /{1+30/100}=\$72800
Selling price to yield 10 % profit =Cost price ×(1+profit %/100)
=\$72800 ×(1+0.10)==\$72800 ×(1.10) =\$80080

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94,640 is 130%

so, 94,640/130 = 1% = 728

=> 110% is 110 x 728 = 80,080

so, selling for \$80,080 would yield a 10% profit.

:)>

N.B. How big is the T.V?

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94,640 divided by 1.3 to get cost price equals 72,800
72,800 multiplied by 1.1 to get 10% profit equals 80,080
Selling price \$80,080
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