Answered

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.

Answer :

gautamisahoo
Cost of land =96000
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.
vishal10495152

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

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