Question

By reducing the SP of an article by Rs. 50, a gain of 5% turns into a loss of 5%. Find the original SP 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/20

when the selling price of the article is reduced by RS.50 then the

new selling price of article = (21x/20-50)

we know that

loss% = (loss*100)/cost price

5 = [x - {21x/20-50}/x)]*100

x = {x-212/20+50}*20

x = [{20x-21x+1000}/20]*20

x = -x+1000

x + x = 1000

2x = 1000

x = 500

So, the cost price of the article is RS. 500

the original selling price 'y' = 21x/20

= (21*500)/20

y = 525

the original selling price is RS 525