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  1. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
    1. 45 : 56
    2. 45 : 51
    3. 47 : 56
    4. 47 : 51
Correct Option: A

Let the CP be 100.
After profit of 12% ,
∴  SP = 112
discount = 10%
If the marked price be y, then
90 % of y = 112

⇒  y =
112 × 100
= ₹
1120
909

∴ Required ratio = 100 :
1120
9

Required ratio = 900 : 1120 = 45 : 56
Second method :
Here, r = 12%, D = 10%
M.P.
=
100 + r
C.P.100 − D

M.P.
=
100 + 12
C.P.100 − 10

M.P.
=
112
C.P.90

C.P.
=
90
M.P.112

C.P.
=
45
M.P.56

C.P. : M.P. = 45 : 56



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