Question

If an article is sold at loss of 50%, find the
cost price in terms of selling price.
(A)1/2
(B)2
(C) 2.5
(D) None of these
​

Answer 1

Answer:

2.5 is the most common answer

Answer 2

Step-by-step explanation:

Let the percentage of profit or loss on the article be x.

C.P. at x% loss when S.P. is Rs. 50 = Rs.

(100−x)

50×100

C.P. at x% profit when S.P. is Rs. 70 = Rs.

(100+x)

70×100

∴

(100−x)

50×100

=

(100+x)

70×100

⇒5(100+x)=7(100−x)

⇒500+5x=700−7x⇒12x=200

⇒x=

12

200

=16

3

2

%