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  1. An article of cost price ₹ 8,000 is marked at ₹ 11,200. After allowing a discount of x% a profit of 12% is made. The value of x is
    1. 21%
    2. 20%
    3. 22%
    4. 23%
Correct Option: B

Here , cost price of article = ₹ 8,000 and marked price = ₹ 11,200

S.P. for a profit of 12% =
8000 × 112
= ₹ 8960
100

∴  Discount = marked price - S.P.
∴  Discount = 11200 – 8960 =₹ 2240
If the discount percent be x, then
11200 × x
= 2240
100

x =
2240 × 100
= 20%
11200

Second method :
Here, M.P. = ₹ 11200 , C.P. = ₹ 8000 , r = 12% , D = x%
Using the given formula ,
M.P.
=
100 + r
C.P.100 − D

11200
=
100 + 12
8000100 − x

=
11200
=
112
8000100 − x

⇒ 100 – x = 80
⇒ x = 20%



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