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  1. The marked price of an article is ₹ 200. A discount of 12
    1
    % is allowed on the marked price
    2
    and a profit of 25% is made. The cost price of the article is :
    1. ₹ 200
    2. ₹ 175
    3. ₹ 120
    4. ₹ 140
Correct Option: D

Given that , marked price of an article = ₹ 200

Discount = 12
1
% =
25
%
22

After discount , S.P. = ₹ 200 × 87.5 = ₹ 175
Gain % = 25%
Required C.P. = ₹
100
× 175 = ₹ 140
125

Using the given formula :
Here, r = 25% , D = 12.5% , M.P. = ₹ 200 , C.P. = ?
M.P.
=
100 + r
C.P.100 − D

200
=
100 + 25
C.P.100 − 12.5

C.P. =
200 × 87.5
125

C.P. = ₹ 140



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