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  1. A man sold an article at a loss of 20%. If he had sold it for $ 50 more, he would have gained 5%. The cost price of the article was
    1. $ 250
    2. $ 300
    3. $ 180
    4. $ 200
Correct Option: D

Let the CP of the article be $ y

SP of the article at 20% loss = y ×
80
=
4y
1005

In second case,
4y
+ 50 =
105y
5100

4y
+ 50 =
21y
520

21y
-
4y
= 50
205

21y - 16y
= 50
20

5y
= 50
20

⇒ y = $ 200
We can find required answer with the help of given formula :
Here, a = 20%, R = $ 50, b = 5%
C.P. =
R × 100
b + a

C.P. =
50 × 100
20 + 5

C.P. =
50 × 100
= $ 200
25



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