Question

. By reducing the sell price of an article by Rs. 8 there is a loss of 8%
inplace of making a profit of 8%. The cost price of the article is -
(a) Rs. 44 (b) Rs. 50 C) Rs. 48 (d) Rs. 80.​

Answer 1

Step-by-step explanation:

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 .