A man buys a plot of land at rs.72,000.he sells one third of the plot at a loss of 20%. Again he sells two fifth of the plot at a gain of 25percent. At what Price should he sell the remaining plot in order to get a profit of 10% on the whole?
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let's assume that the price of each part sold is proportional to the size of the plot (i.e 1/3 of plot= 1/3 of 72000 = 24000)
however, he sells 1/3rd at a loss of 20%
therefore selling price = (80/100)*24000
=80*240 =19,200
similarly, 2/5th of the plot is sold at a gain of 25%
therefore S.P = (125/100)*(2/5)*72000
=28,800
now, for the man to get a profit of 10% on the whole, his total S.P should be (110/100)*72000
=79200
so far, on the plots he has already sold, the money obtained is 19,200+28,800
=48,000
therefore, the last part should be sold at a price of (79200-48000) = 31,200
cheers! x
however, he sells 1/3rd at a loss of 20%
therefore selling price = (80/100)*24000
=80*240 =19,200
similarly, 2/5th of the plot is sold at a gain of 25%
therefore S.P = (125/100)*(2/5)*72000
=28,800
now, for the man to get a profit of 10% on the whole, his total S.P should be (110/100)*72000
=79200
so far, on the plots he has already sold, the money obtained is 19,200+28,800
=48,000
therefore, the last part should be sold at a price of (79200-48000) = 31,200
cheers! x
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