Question

by reducing the selling price of an article by $50 a gain of 5% turns into a loss of 5% find the original selling price of the article​

Answer 1

gain%=(gain *100/cost price)= 5%=(y-x)*100/x= x =20(y-x)= x = 20x-20y= x + 20x = 20y= 21x = 20y= y = 21x/20when the selling price of the article is reduced by RS.50 then thenew selling price of article = (21x/20-50)we know thatloss% = (loss*100)/cost price5 = [x - {21x/20-50}/x)]*100x = {x-212/20+50}*20x = [{20x-21x+1000}/20]*20x = -x+1000x + x = 10002x = 1000x = 500So, the cost price of the article is RS. 500the original selling price 'y' = 21x/20= (21*500)/20y = 525the original selling price is RS 525