Question

The question how much percent above the CP should A shopkeeper marks his goods so that after allowing a discount of 20% on the Marked price he gains 12%

Answer 1

let the CP be Rs. 100 and MP be Rs. x
gain % after discount = 12%
gain = 12% of 100 = Rs. 12
⇒ 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 da question says
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
∴ % amount marked above the CP
= Amount increased/CP * 100
= 40/100 * 100
= 40%

Answer 2

Let the CP be Rs. X.

Profit%   = 12%

Sp          = (1+r/100)*CP

             = (1+12/100)*Rs. x

             = Rs.28x/25

Discount%= 20%

SP            = (1-d/100)*MP

RS. 28x/25 = (1-20/100)*MP

MP              =RS. 28x/25*5/4

                  =Rs. 7/5

Difference of MP and CP = RS. 7x/5-Rs.X

                                        = Rs. 2x/5

Percent                             = Diff./CP *100

                                         = (Rs. 2x/5)/RS. x/100

                                         = 40%

Ans. = The shopkeeper should mark his goods 40% above the CP.

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