Question

Ahmed buys a plot of land for 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?

Answer 1

The remaining 3/5 should be sold at 62/3% profit to make it 10 %as whole profit

Answer 2

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