Question

A man buys a plot of land for Rs 3,60,000 He sells one third of the plot at a loss of 20% Again he sells two thirds of the plot left at profit of 25% At what price should he sell the remaining plot in order to get a profit of 20% on the whole

Answer 1

let the plot area be x
cp of x = 360000
cp of x/3 = 120000
loss on selling x/3 = 20/100 * 120000
= 24000
sp of x/3= 120000-24000= 96000
renaming plot = x - x/3= 2x/3
cp of 2/3 of 2x/3 = 2/3* 240000= 160000
sp of 2/3 of 2x/3 = 160000+ 25/100*160000
= 160000+ 40000= 200000
remaining plot = 2x/3- 2/3*2x/3
= 2x/3-4x/9= 2x/9
cp of remaing plot (2x/9) = 2*360000/9= 80000
so far cp of plot sold = 280000
sp of plot sold = 96000(1) + 200000(2)
= 296000
profit = 16000
total profit = 20/100 *360000= 72000
already profit gained = 16000
profit to be gained = 72000-16000= 56000
cp of remaining plot = 80000
so he has to sell this plot for 80000+56000= 136000 to gain 20% profit on the total plot.