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  1. The marked price of a radio is ₹ 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be
    1. 18%
    2. 18.5%
    3. 20.5%
    4. 20%
Correct Option: D

Given that , The marked price of a radio = ₹ 480
If the CP of radio be y, then

108
of y =
480 × 90
100100

⇒ 
y × 108
= 432
100

⇒  y =
432 × 100
= ₹ 400
108

Gain percent (if no discount is allowed) =
80
× 100 = 20%
400

Second method :
Here, r = 8%, D = 10%, M.P. = ₹ 480
With the help of given formula ,
M.P.
=
100 + r
C.P.100 − D

480
=
100 + 8
C.P.100 − 10

C.P. =
480 × 90
= ₹ 400
108

Gain % (without discount) =
S.P. − C.P.
× 100
C.P.

Gain % =
480 − 400
× 100
400

Gain % =
80
× 100 = 20%
400



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