Question

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every
15 articles and thus gains 35%. The marked price is above the cost price by
(A) 40% (B) 39% (C) 20% (D) 50%

Answer 1

let the mp of each articles is 100 and he sells it in 96 RS
then the sp of 15 articles = 96*15= 1440 RS
cp = (100/100+35)*1440
cp = (100/135)*1440
cp=( 20/27)*1440
cp = (20/3)* 160
it is cp of 16 articles
cp of 1 articles = 200/3 RS
difference = 200/3 -100 = 100/3
difference % =( 100/3)/(200/3)*100
(1/2)*100= 50%