Question

a person sells 1/4 part of property at 20% gain next 2/3 part of property at 21% gain and the remaining part at20%loss.what is tge overall loss and gain percent

Answer 1

Step-by-step explanation:

let the property value at purchase be : X

1/ 4 of property sold : (1/4)*X*0.2

2/3 of property sold : (2/3)*X*0.21

Balance of property : 1 - ( 1/4+2/3 )

= 1 - ( (3+8)/12)

= 1-11/12 = 1/12

1/12 of property sold : (1/12)* X*(-0.2)

Total profit/loss= (1/4)*X*0.2+(2/3)"X*0.21+(1/12)*X*(-0.2)

= (1/20)*X+(14/100)*X-(1/60)*X

=(1/10)*X*((15+42-5)/30)

=(1/10)*X*52/30

= (52/300)*X

=0.1733*X

= 17.33% gain on yhe land

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