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
SP on loss 6% = CP - loss
= CP (1 - 6/100)
= (38400×94)/100
=Rs 36096
for gaining 10% on whole
SP= CP + 10% of CP
=96000 + (10×96000)/100
= 96000 + 9600
SP = Rs 105600
SP of 2/5th land = Rs 36096
SP of 3/5th land should be Rs (105600 - 36096) = Rs 69504
CP of 3/5th land = (96000×3)/5 = Rs 57600
gain = Rs (69504 - 57600) = Rs 11904
gain % = (11904×100)/57600 = 20.6%
Step-by-step explanation:
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