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CBSE Class 8 Answered

A company reduced the price of an article by 5%.By what per cent a retailer must increase the new price so as to sell the article at the old price?
Asked by ruchigaba17 | 03 Sep, 2018, 02:45: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let comma
Original space price space of space an space article space equals space Rs. space straight x
straight A space company space reduced space the space price space of space an space article space by space 5 percent sign.
rightwards double arrow Price space of space an space article left parenthesis after space reduction right parenthesis space equals space straight x space minus space straight x space cross times space 5 percent sign space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space straight x space minus space straight x space cross times space 5 over 100
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space straight x space minus space straight x over 20
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 19 straight x over denominator 20 end fraction
Now comma
straight m space space cross times space fraction numerator 19 straight x over denominator 20 end fraction space equals space straight x
rightwards double arrow fraction numerator 19 straight m over denominator 20 end fraction space equals space 1
rightwards double arrow straight m space equals space 20 over 19 space equals space 1.0526
Let space the space percet space increase space be space straight a.
rightwards double arrow open parentheses 1 space plus space straight a over 100 close parentheses space equals space bold space bold 1 bold. bold 0526
rightwards double arrow straight a space equals space 5.26 percent sign end style
Answered by Yasmeen Khan | 03 Sep, 2018, 04:10: PM
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