Question

after allowing a discount of 16% there was still a gain of 5% at what percent above the cost price was the marked price​

Answer 1

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.