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  1. A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
    1. 18 : 23
    2. 17 : 18
    3. 17 : 23
    4. 18 : 25
Correct Option: A

Given that , gains = 15% , discount = 10%
Let the CP of article be p and its marked price be q.
According to the question,
90% of q = 115% of p

⇒ 
q × 90
=
p × 115
100100

⇒ 
p
=
90
=
18
⇒18 : 23
q11523

Second method to solve this question :
Here, r = 15%, D = 10%
Using the given formula ,
M.P.
=
100 + r
C.P.100 − D

M.P.
=
100 + 15
C.P.100 − 10

M.P.
=
115
C.P.90

C.P.
=
90
M.P.115

C.P.
=
18
M.P.23

⇒  C.P. : M.P. = 18 : 23



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