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Question

A man buys a plot of land at Rs3,00,000. He sells one third of the plot at a loss of 20% . Again, he sells two -fifth 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?

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Solution

C.P of the total land=Rs.3,00,000
Sold 13rd of land at the loss of 20%
C.P of 13rd of land=13×3,00,000=Rs1,00,000
S.P of 13rd of land=C.P×(1loss%100)
=1,00,000×(120100)=1,00,000×80100=Rs.80,000
Similarly, sold 25th at a gain of 25% is
C.P of 25th of land=25×3,00,000=Rs.1,20,000
S.P of 25th of land=1,20,000×(1+25100)
=1,20,000×125100=Rs1,50,000
Total Gain% required=10%
Total S.P required=Total C.P×(1+Gain%100)
=3,00,000×(1+10100)=3,60,000×110100=Rs.3,30,000
S.P of balance land=3,30,00080,0001,50,000=Rs.1,00,000
he has to sell the balance land at Rs.1,00,000


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