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# An article is sold at 20% profit. If its cost price is increased by $5  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message Intern Joined: 05 Dec 2017 Posts: 21 GPA: 3.35 An article is sold at 20% profit. If its cost price is increased by$5  [#permalink]

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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

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Joined: 02 Oct 2017
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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

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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