A farmer purchased a piece of land for Rs 1,50,000 he sold one third of land at the loss of 6% . At what gain percent should he sell the remaining land to get 10% on the whole lot.
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Total price of whole land = 1,50,000. rs.
One third of land = 1/3×1,50,000 = 50,000
∴Loss percent on 50000 rs. land = 6 percent = 6/100×50000 = 3000 rs.
∴ Sold price of one third of land = 50000 - 3000 = 47000
In order to get 10 percent profit on whole land ,
10/100×150000 = 15000 rs.( profit in Rs. )
Therefore to get this profit ,
we need to sell remaining 100000 rs land for 18000rs. profit (15000 + 3000 = 18000 )
∴ Profit percentage when sold = 18000/100000×100 = 18 percent.
so at 18 percent gain percent remaining land should be sold
One third of land = 1/3×1,50,000 = 50,000
∴Loss percent on 50000 rs. land = 6 percent = 6/100×50000 = 3000 rs.
∴ Sold price of one third of land = 50000 - 3000 = 47000
In order to get 10 percent profit on whole land ,
10/100×150000 = 15000 rs.( profit in Rs. )
Therefore to get this profit ,
we need to sell remaining 100000 rs land for 18000rs. profit (15000 + 3000 = 18000 )
∴ Profit percentage when sold = 18000/100000×100 = 18 percent.
so at 18 percent gain percent remaining land should be sold
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