SOLUTION: Ahmed buys a plot of land for Rs 96000.He sells 2/5 of it at loss of 6%.At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ahmed buys a plot of land for Rs 96000.He sells 2/5 of it at loss of 6%.At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?      Log On


   



Question 640946: Ahmed buys a plot of land for Rs 96000.He sells 2/5 of it at loss of 6%.At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the selling price of the 2/5
given:
+p+=+%282%2F5%29%2A96000+-+.06%2A%282%2F5%29%2A96000+
+p+=+%282%2F5%29%2A96000%2A%28+1+-+.06+%29+
+p+=++38400%2A.94+
+p+=+36096+
--------------
Let +g+ = the percentage gain to sell the remaining 3/5 of the land
+36096+%2B+%28+1+%2B+g+%29%2A%28+%283%2F5%29%2A96000+%29+=+1.1%2A96000+
+36096+%2B+%28+1+%2B+g+%29%2A57600+=+105600+
+%28+1+%2B+g+%29%2A57600+=+105600+-+36096+
+57600g+=+69504+-+57600+
+57600g+=+11904+
+g+=+11904+%2F+57600+
+g+=+.2067+
He must sell the remaining part at 20.67 % gain to
make 10% on the whole
check:
+36096+%2B+1.2067%2A57600+=+1.1%2A96000+
+36096+%2B+69505.92+=+105600+
+105601.92+=+105600+
OK -error due to rounding off, I think