If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.  Choose the correct choice from the following
A) 11: 30 B) 1 : 5 C) 1 : 6 D) 7 : 30 E) 8 : 30
Since S.P. = 5 (M.P. - S.P.) =&gt; 5 M.P. = 6 S.P.   M.P. = (6/5) S.P.   Since the percentage discount = Percentage profit,   [ { (6/5) S.P. - S.P. } / ((6/5 ) S.P) ] x100 = (S.P - C.P) / C.P x 100   Therefore, 1/6 = (S.P/C.P) – 1 =&gt; S.P = (7/6) C.P   M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P   Therefore, Ratio of discount to C.P   = (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]   = 7/30   Therefore the ratio is 7 : 30   ANSWER:7 : 30
<result>D</result>
If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.