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%
Answers
Answered by
7
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%
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%
Answered by
1
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.
mate please mark as brainliest....
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