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An article is sold at 20% profit. If its cost price is increased by $5

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An article is sold at 20% profit. If its cost price is increased by $5  [#permalink]

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New post 21 Apr 2018, 21:45
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An article is sold at 20% profit. If its cost price is increased by $50 and at the same time, if its selling price is also increased by $30, the percentage of profit decreases by \(\frac{10}{3}\)%. Find the cost price.

(A) 650
(B) 4500
(C) 850
(D) 3000
(E) 1000

NOTE: OA is not provided. Dear math experts, sir would you Please help me finding OA?
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Re: An article is sold at 20% profit. If its cost price is increased by $5  [#permalink]

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New post 21 Apr 2018, 21:52
Ans should be 850

Let Cp be 100x
So=120x as 20 percent profit

So as per question
New CP=100X + 50
SP=120x + 30

(Sp-cp/CP) *100=20 -(10/3)

Plugin values and you will get answer

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Re: An article is sold at 20% profit. If its cost price is increased by $5  [#permalink]

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New post 22 Apr 2018, 00:22
Jamil1992Mehedi wrote:
An article is sold at 20% profit. If its cost price is increased by $50 and at the same time, if its selling price is also increased by $30, the percentage of profit decreases by \(\frac{10}{3}\)%. Find the cost price.

(A) 650
(B) 4500
(C) 850
(D) 3000
(E) 1000

NOTE: OA is not provided. Dear math experts, sir would you Please help me finding OA?


Let initial CP = x , so SP = 1.2 x (given profit is 20%)
New CP= x+50 & SP= 1.2x+30
given that new profit is decreased by 10/3% from the initial 20% profit
this implies => \(\frac{(SP-CP)}{CP}*100 = 20-10/3\) solving for x we get CP = 850
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Re: An article is sold at 20% profit. If its cost price is increased by $5 &nbs [#permalink] 22 Apr 2018, 00:22
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An article is sold at 20% profit. If its cost price is increased by $5

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