After allowing a discount of 16%, there was still a gain of 5%. then the percentage of marked price over the cost price is
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Let the CP be Rs. x.
Profit% = 5%
SP = (1+r/100)*CP
SP = (1+5/100)*Rs.x
SP = Rs.26x/25
Discount% = 16%
SP = (1-d/100)*MP
Rs.26x/25 = (1-16/100)*MP
Rs.26x/25 = 21/25*MP
MP = Rs. 26x/25*25/21
MP = Rs. 26x/21
Difference of MP and CP = Rs. 26x/21 - Rs. x
= Rs. 5x/21
Percentage of difference = diff./CP *100
= (Rs.5x/21)/Rs.x/100
= 500/21
= 23.8%
Ans.= The MP should be 23.8% above the CP.
Profit% = 5%
SP = (1+r/100)*CP
SP = (1+5/100)*Rs.x
SP = Rs.26x/25
Discount% = 16%
SP = (1-d/100)*MP
Rs.26x/25 = (1-16/100)*MP
Rs.26x/25 = 21/25*MP
MP = Rs. 26x/25*25/21
MP = Rs. 26x/21
Difference of MP and CP = Rs. 26x/21 - Rs. x
= Rs. 5x/21
Percentage of difference = diff./CP *100
= (Rs.5x/21)/Rs.x/100
= 500/21
= 23.8%
Ans.= The MP should be 23.8% above the CP.
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