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An item was sold at 6% profit. If the cost was 4% less and t

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Emdad
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An item was sold at 6% profit. If the cost was 4% less and t [#permalink] New post   Updated on: 16 May 2021, 09:33
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An item was sold at 6% profit. If the cost was 4% less and the selling price was Tk. 4 more, then the trader would have made a rofit of 12.5%. What was the cost of the item?
(A) 100
(B) 120
(C) 150
(D) 200
(E) None of these
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D

Originally posted by Emdad on 16 May 2021, 09:09.
Last edited by Emdad on 16 May 2021, 09:33, edited 2 times in total.
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Re: An item was sold at 6% profit. If the cost was 4% less and t [#permalink] New post   16 May 2021, 09:21
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Let the cost price is 100
At 6% profit, selling price = 106

At 4% less, cost=96, and earn 12.5% profit so, selling price=96 +96*12.5%= 108

So, at 4% less cost, profit is 108-106= 2 Tk

When earing is 2 tk more the cost of the item is 100tk

So, when earning is 4 tk more cost is 100×2=200

So cost of the item is 200tk.

Answer is D

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stne
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Re: An item was sold at 6% profit. If the cost was 4% less and t [#permalink] New post   28 May 2021, 21:41
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Emdad wrote:
An item was sold at 6% profit. If the cost was 4% less and the selling price was Tk. 4 more, then the trader would have made a rofit of 12.5%. What was the cost of the item?
(A) 100
(B) 120
(C) 150
(D) 200
(E) None of these



Note : S.P - C.P = profit we need to find S.P. , C.P. and Profit and put it in this eqn.

S.P. \(= 1.06 \) C.P.

If S.P. was \(4\) more then S.P. \(= 1.06\) C.P. \(+ 4\)

If the C.P. was \(4\%\) less then C.P. would become \(=.96 \)C.P.

Profit of \(12.5 \% \)when C.P. was \(.96\) C.P. \(= .125 * .96\) C.P.

Hence S.P. - C.P. \(= \)profit

\(1.06\) C.P. \(+ 4 - .96\)C.P. \(= .125 *.96\) C.P.

C.P \(= 200\)

Ans-D

Hope it's clear.
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FahimIbneKabir
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An item was sold at 6% profit. If the cost was 4% less and t [#permalink] New post   02 Nov 2023, 20:04
Let,
CP= 100x ; then, SP= 106x
So, reduced CP= 96x ;
increased SP= 106x+4

Now,
(106x+4)-96x= 12x [96x*12.5%]
⇨x=2

So, CP=100x or 100*2=200

Answer : D

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An item was sold at 6% profit. If the cost was 4% less and t [#permalink]
02 Nov 2023, 20:04
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