Home » Aptitude » Profit and Loss » Question
  1. A shopkeeper sells an article at a loss of (25 / 2) %. Had he sold it for $ 51.80 more, he would have earned a profit of 6%. The cost price of the article is
    1. $ 280
    2. $ 300
    3. $ 380
    4. $ 400
Correct Option: A

Let the C.P. of article be $ y.

∴ S.P. =
175y
200

New S.P. = $ 7y + 51.80
8

175y
+ 51.8 =
106
× y
200100

106y
-
175y
= 51.8
100200

212y - 175y
= 51.8
200

⇒ 37 y = 51.8 × 200
⇒ y =
51.8 × 200
= $ 280
37

We can find required answer with the help of given formula :
Here, a = 12.5% , R = $ 51.80 , b = 6%
C.P. =
R × 100
b + a

C.P. =
51.80 × 100
12.5 + 6

C.P. =
5180
= $ 280
18.5



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