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A car manufacturer, tippled the price of a car and by this quadrupled

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Bunuel
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A car manufacturer, tippled the price of a car and by this quadrupled [#permalink] New post   12 Oct 2022, 01:30
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A car manufacturer, tripled the price of a car and by this quadrupled percentage of profit on it. What was the original profit percentage on the car ?


A. \(33 \frac{1}{3}\%\)

B. \(66 \frac{2}{3}\%\)

C. \(100\%\)

D. \(200\%\)

E. \(6666 \frac{2}{3}\%\)


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Sahil2208
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Re: A car manufacturer, tippled the price of a car and by this quadrupled [#permalink] New post   12 Oct 2022, 04:26
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D. 200%

let x be the profit percentage
S.P = (1 + x/100)*C.P ... eq 1

3*S.P = (1 + 4x/100)*C.P ... eq 2

put eq 1 in eq 2

= 3*(1 + x/100) = (1 + 4x/100)
= 3 + 3x/100 = 1 + 4x/100
= 2 = (4x/100) - (3x/100)
= 2 = x/100
= x = 200
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Re: A car manufacturer, tippled the price of a car and by this quadrupled [#permalink] New post   12 Oct 2022, 05:24
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Bunuel wrote:
A car manufacturer, tippled the price of a car and by this quadrupled percentage of profit on it. What was the original profit percentage on the car ?


A. \(33 \frac{1}{3}\%\)

B. \(66 \frac{2}{3}\%\)

C. \(100\%\)

D. \(200\%\)

E. \(6666 \frac{2}{3}\%\)




 


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let selling price =x
and cost price =y

profit% = ((selling price - cost price)/Cost price)*100

profit before price increase = ((x-y)/y)*100
after selling price becomes 3x, new profit becomes 4 times the old profit
i.e. (3x-y/y)*100 = 4(x-y/y)*100

3x-y =4x-4y
or x=3y
thus original profit was ((x-y)/y)*100
= ((3y-y)/y)*100
=200%

Option D
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Re: A car manufacturer, tippled the price of a car and by this quadrupled [#permalink] New post   15 Apr 2024, 13:22
Bunuel wrote:
A car manufacturer, tippled the price of a car and by this quadrupled percentage of profit on it. What was the original profit percentage on the car ?


A. \(33 \frac{1}{3}\%\)

B. \(66 \frac{2}{3}\%\)

C. \(100\%\)

D. \(200\%\)

E. \(6666 \frac{2}{3}\%\)



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Let the initial cost price (CP) be x and, the selling price (SP) be y. Therefore, the initial percentage profit was (y-x)/x.
According to the question, CP is the same but SP becomes 3y. Therefore, the percentage profit becomes (3y-x)/x.
Given, (3y-x)/x = 4*(y-x)/x or, y=3x.
So, original profit percentage was (3x-x)/x *100=200%. Option (D) is correct.
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Re: A car manufacturer, tippled the price of a car and by this quadrupled [#permalink] New post   15 Apr 2024, 20:42
Given: A car manufacturer, tripled the price of a car and by this quadrupled percentage of profit on it.
Asked: What was the original profit percentage on the car ?

Let the original price of the car be x & original profit percentage be p%.
Cost of the car = x/(1+p%)

Price of the car after tripling the price = 3x
Profit = 3x - x/(1+p%) = 4p%x/(1+p%)
3(1+p%) - 1 = 4p%
2 = p%
p% = 200%

IMO D
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Re: A car manufacturer, tippled the price of a car and by this quadrupled [#permalink]
15 Apr 2024, 20:42
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