If commission of 10% is given on list price, the gain is 20%. Find the gain percent, if commission is increased to 20%?

Question

A bike is sold at a certain price. By selling it at two third of that price one loses 10%. Find the gain percent at original price.

Answer 1

let the list prize be RS 100
then selling prize by allowing 10%=90
on the above deal,profit is 20%
hence C P=90X100/120=75
NO CHANGE IN LIST PRIZE IE 100
DISCOUNT ALLOWED 20%
SELLING PRIZE =80
5 OF GAIN=5/75X100=6.666
ANS =6.67%