Ahmed buys a plot of land for Rs96000 , he sell 2/5 of it at a loss of 6%. At what gain percent should he sell the remaining part of the plot to gain 10% on the whole.
Answers
He has sold 2/5 land and amount he got =2×96000×0.94/5
=36096
To gain 10% profit he has to get total of = 96000×1.1
=105600
selling 3/5 of land he has to get=105600-36096=69504
cost of 3/5 land=96000×3/5=57600
Gain % =100×(69504-57600)/57600=20.66
He should sell the land at 20.66 gain.
C.P of the total land => Rs 96000
C.P of ⅖ th part of the land:-
=> 96000 × 2/5
=> 19200 × 2
=> 38400
S.P on loss 6% :-
=> C.P × 100 - loss
=> 38400 × 100 - 6/100
=> 384 × 100 - 6
=> 384 × 94
=> 36096
For gaining 10% on whole:-
=> S.P = C.P + 10% of C.P
=> S.P = 96000 + 10 × 96000/100
=> S.P = 96000 + 10 × 960
=> S.P = 96000 + 9600
=> S.P = Rs 105600
:-S.P of ⅖ th part of the land=> Rs 36096
:-S.P of ⅗ th part of the land should be Rs
=> 105600 - 36096
=> Rs 69504
:- C.P of ⅗ th part of the land
=> 96000 × 3/5
=> 19200 × 3
=>Rs 57600
:-Gain of the total land:-
=> S.P - C.P
=> 69504 - 57600
=> Rs 11905
:- Gain% of the total land:-
=> 11904 × 100/57600
=> 11904/576
=> 5952/288
=>2976/144
=>1488/72
=>744/36
=>372/18
=>186/9
=>62/3
=> 62
——
3 ) 62 ( 20⅔ or 20.66
6
——
20
18
——
20
18
——
2
=> 20⅔ or 20.66(ans)
:- Total gain percent of the total land is 20⅔ or 20.66