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  1. Marked price of an article is ₹ 275. Shopkeeper allows a discount of 5% and he gets a profit of 4.5%. The actual cost of the article is
    1. ₹ 250
    2. ₹ 225
    3. ₹ 215
    4. ₹ 210
Correct Option: A

Given Here , Marked price of an article = ₹ 275
profit = 4.5% , discount = 5%
Let C.P. of article be y

∴ 
y × 104.5
=
275 × 95
100100

⇒  y × 104.5 = 275 × 95
⇒  y =
275 × 95
= ₹ 250
104.5

Second method :
Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
Using the given formula ,
M.P.
=
100 + r
C.P.100 − D

275
=
100 + 4.5
C.P.100 − 5

C.P. =
275 × 95
= ₹ 250
104.5



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