if an article is sold at loss of 50%. find the cost price in the terms of selling price
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Answer:
Let the percentage of profit or loss on the article be x.
C.P. at x% loss when S.P. is Rs. 50 = Rs.
(100−x)
50×100
C.P. at x% profit when S.P. is Rs. 70 = Rs.
(100+x)
70×100
∴
(100−x)
50×100
=
(100+x)
70×100
⇒5(100+x)=7(100−x)
⇒500+5x=700−7x⇒12x=200
⇒x=
12
200
=16
3
2
%
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