Aaron buys a plot of land for Rs. 96000. He sells 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
Answer:
16 2/3%
Step-by-step explanation:
Cost price of plot = 96000
As we know that if we wants 10% profit on this plot we have to to sell it for => 110/100×96000
=> 105600 RS
according to statement 2/5 of plot (i.e 96000) solded at 6 % loss
means = 96000×2/5×94/100
=> 19200×2×94/100
=> 36096
if we sold out 2/5 of plot at RS 36096 and we wants 10% profit then
=> 105600-36096
=> 69540
this is the selling price for remaining part of plot say 3/5
=> if 59904 become 69540
means we get => 69540-59904 = 9636
=> 9636×100/59904 = 16 2/3
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