Question

If 30% is lost by selling a sofa for Rs980, at what price must it be sold to gain 10%

Answer 1

Given
Sp=₹980

Loss%=30%

Cp=spx100/(100-loss%)

Cp=980x100/(100-30)

Cp=98000/70

Cp=9800/7

Cp=₹1400

Now he wants to earn 10% gain
Then sp will be

Sp=cpx(100+gain %) /100

Sp=1400(100+10)/100

Sp=1400x110/100

Sp=14x110

Sp=₹1540


2nd way to solve

New sp= old spx(100+gain%)/(100-loss%)

New Sp=980x(100+10)/(100-30)

New sp=980x110/70

New sp=₹1540


This is ur ans hope it will help you in case of any doubt comment below