Question

an article was sold at a profit of 5%.If it had fetched rs24 more,there woyld have been a profit of8%.what was the cost price of the article?​

Answer 1

Answer:

Let the Cost Price (C.P) be Rs x and then at 8% of profit

Selling Price(S.P) would be :

Gain % =

C.P

(S.P−C.P)

×100

⇒8%=

x

S.P−x

×100

⇒

100

8x

=S.P−x

⇒S.P=

100

8x

+x

⇒S.P=

100

108x

.....(1)

Now If the loss is 8%

⇒

100

8x

=x−S.P

⇒S.P=

100

92x

...(2)

Now we have the condition ,from 1 and 2 we get :

S.P (profit) = S.P(loss) + 12

⇒

100

108x

=

100

92x

+12

⇒

100

(108−92)

x=12

⇒

100

16

x=12

⇒16x=12×100

⇒x=

16

12×100

⇒x=75

⇒C.P=Rs 75

The Cost Price of the article is Rs 75 .

some changes in this ans so write and understand carefully ok