Question

46. By reducing the selling price of an article by Rs50, a gain of 5% turns into a loss of
5%. Find the original selling price of the article.​

Answer 1

Answer:

ANSWER

Let Rs x be the cost price and Rsy be the the selling price of the

article.

we know that

Gain%=(

C.P

Gain×100

)

∴5%=(y−x)×

x

100

⇒x=20(y−x)

⇒x=20y−20x

⇒x+20x=20y

⇒21x=20y

⇒y=

20

21x

When the selling price of the article is reduce by Rs50 then the

new selling price of article =Rs(

20

21x

−50)

we know that

Loss%=(

C.P

loss×100

)

5=[

x

x−{

20

21x

−50}

]×100

⇒x={

20

x−21x

+50}×20

⇒x=[

20

{20x−21x+1000}

]×20

⇒x=−x+1000

⇒x+x=1000

⇒2x=1000

So, the cost price of article is Rs500

The original selling price y=

20

21x

=

20

21×500

y=525

The original selling price is Rs 525

Answer 2

Step-by-step explanation:

here is your solution.