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ICSE Class 8 Answered

A man buys a plot of land at Rs.360000.He sells one third of the plot at a loss of 20℅.Again he sells two third of the plot left at the profit of 25℅.At what price should he sell the remaining plot in order to get a profit of 10℅ on the whole.
Asked by triloksingh945315 | 24 Nov, 2018, 08:18: AM
answered-by-expert Expert Answer
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
Answered by Thiyagarajan K | 25 Nov, 2018, 09:48: AM

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