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25 Jun 2019, 02:19
00:00

Difficulty:

65% (hard)

Question Stats:

48% (02:50) correct 52% (02:33) wrong based on 23 sessions

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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) 850
(C) 1000
(D) 3000
(E) 4500

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Status: Learning stage
Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Re: An article is sold at 20% profit. If its cost price is increased by $5 [#permalink] ### Show Tags 25 Jun 2019, 12:45 2 Bunuel 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) 850 (C) 1000 (D) 3000 (E) 4500 Initial scenario:- Let the CP be 'x'. SP=1.2x Amended scenario:- CP=x+50 SP=1.2x+30 %Profit=$$20-\frac{10}{3}=\frac{50}{3}%$$ Or, $$\frac{1.2x+30-x-50}{x+50}*100=\frac{50}{3}$$ Or, 6(0.2x-20)=x+50 Or, 1.2x-120=x+50 Or, 0.2x=170 $$x=\frac{1700}{2}=850$$ Ans. (B) _________________ Regards, PKN Rise above the storm, you will find the sunshine Re: An article is sold at 20% profit. If its cost price is increased by$5   [#permalink] 25 Jun 2019, 12:45
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# An article is sold at 20% profit. If its cost price is increased by \$5

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