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Let the CP be Rs. 100 and MP be Rs. x
Gain % after discount = 12%
Gain = 12% of 100 = Rs. 12
Then, SP of the article = CP + Gain = Rs. (100 + 12) = Rs. 112
Discount % = 20%
Discount = 20% of Marked Price = Rs.20/100 * x = Rs. 20x/100 = Rs. x/5
As per question-
Marked Price - Discount = SP
=> x - x/5 = 112
=> (5x - x)/5 = 112
=> 4x/5 = 112
=> x = 112 * 5/4 = Rs. 140
Marked Price = Rs. 140
Amount marked above the CP = MP - CP = Rs. (140 - 100) = Rs. 40
Therefore, % amount marked above the CP = Amount increased/CP * 100 = 40/100 * 100 = 40%
Gain % after discount = 12%
Gain = 12% of 100 = Rs. 12
Then, SP of the article = CP + Gain = Rs. (100 + 12) = Rs. 112
Discount % = 20%
Discount = 20% of Marked Price = Rs.20/100 * x = Rs. 20x/100 = Rs. x/5
As per question-
Marked Price - Discount = SP
=> x - x/5 = 112
=> (5x - x)/5 = 112
=> 4x/5 = 112
=> x = 112 * 5/4 = Rs. 140
Marked Price = Rs. 140
Amount marked above the CP = MP - CP = Rs. (140 - 100) = Rs. 40
Therefore, % amount marked above the CP = Amount increased/CP * 100 = 40/100 * 100 = 40%
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