Question

a man buys a plot for 3600000. he sells one third one third of 5he plot at a loss of 20% . again he sells two thirds of the plot left at a profit of 25%. at what price should he sell the remaining plot in order to get a profit of 10% on the whole​

Answer 1

Answer:

Step-by-step

1/3 of plot,i.e., Rs.1,20,000 sold out for a loss of 20%. Hence selling price = 120000 - [ 120000×(20/100) ] = Rs. 96000 ..........(1)

2/3 of left plot area = [ 1 - (1/3) ]×(2/3) = 4/9 part of initial plot area

cost value of 4/9 plot area = 360000 × (4/9) = Rs. 1,60,000

if 4/9 part of plot is sold for 25% profit, then selling price = 160000 + [ 160000 × (25/100) ] = Rs. 200000 .....................(2)

cost value of left out plot = [ 1 - (1/3) - (4/9) ]×360000 = Rs.80000

total selling price till now = Rs. ( 96000 + 200000 ) = Rs. 2,96,000

overall selling price for the profit of 10% = 360000 + [ 360000×(10/100) ] = Rs. 3,96,000

Hence the left out plot has to be sold for Rs. ( 3,96,000 - 2,96,000) = Rs. 1,00,000