A cloth merchant sold half of his cloth at 20% profit, half of the re…

Question

A cloth merchant sold half of his cloth at 20% profit, half of the remaining cloth at 20% loss and the rest was sold at its cost price. In the total transaction, his gain or loss will be = ?

Accepted Answer

Option A. 5% profit. Answer & Solution Answer: Option A Solution: & Let\, CP\, of\, whole\, be\, Rs .\,x & CP\, of\,1/2\, stock = Rs .\,x/2 & CP\, of\,1/4\, stock = Rs .\,x/4 Total \, SP = \, [ ( 120\% \, of\,x/2 ) + ( 80\% \, of\,x/4 ) + x/4 ] & = ( 3x5 + x/5 + x/4 ) & = Rs .\, 21x20 & Gain = Rs .\…