Question

2. At what profit percent must an article be sold so that by selling at half that price, there may be a loss of 30%?​

Answer 1

Let SP =100 ,

New SP=100/2 =50 ,loss %= 30%

So CP = 100/(100-loss%) ×SP

100/70 ×50 =500/7

Profit = SP -CP =100 -500/2 =200/7

Profit % = 200/7/7/500 ×100 = 40% (Ans)