A bath toy bought for $x is sold for $24, making x% profit. What was the cost of the toy?
thankyou very much
thankyou very much
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% means per 100 so x% = x / 100
(24 - x) / x = percent profit = x% = x / 100
(24 - x) / x = x / 100
2400 - 100x = x^2
x^2 + 100x - 2400 = 0
Solve for the roots of the quadratic equation.
(x + 120)(x - 20) = 0
x = -120 , x = 20
Since the cost cannot be negative, we disregard x = -120. So we get x = 20. The cost of the toy is $20.
Let us check our answer. We'll substitute 20 for x on both sides of our original equation.
($24 - $20) / $20 = 4 / 20 = 1 / 5 = 0.2
20% = 20 / 100 = 2 / 10 = 1 / 5 = 0.2
Therefore, our answer is correct.
(24 - x) / x = percent profit = x% = x / 100
(24 - x) / x = x / 100
2400 - 100x = x^2
x^2 + 100x - 2400 = 0
Solve for the roots of the quadratic equation.
(x + 120)(x - 20) = 0
x = -120 , x = 20
Since the cost cannot be negative, we disregard x = -120. So we get x = 20. The cost of the toy is $20.
Let us check our answer. We'll substitute 20 for x on both sides of our original equation.
($24 - $20) / $20 = 4 / 20 = 1 / 5 = 0.2
20% = 20 / 100 = 2 / 10 = 1 / 5 = 0.2
Therefore, our answer is correct.
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x+x/100*x = 24
x^2 + 100x-2400 = 0
x = (-100+/-sqrt(10000+9600))/2 = (-100+/-140)/2
x = -120 no sense
x = 20
Proving
20+20%*2= 24
profit 4/20 = 20%
Cost of toy $20
x^2 + 100x-2400 = 0
x = (-100+/-sqrt(10000+9600))/2 = (-100+/-140)/2
x = -120 no sense
x = 20
Proving
20+20%*2= 24
profit 4/20 = 20%
Cost of toy $20
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profit percentage =[(Selling price-Buying price)/Selling price] *100
x = [(24-x)/24]*100
24x =2400-100x
124x=2400
x=$ 19.35
The cost of the toy is $19.35
x = [(24-x)/24]*100
24x =2400-100x
124x=2400
x=$ 19.35
The cost of the toy is $19.35