Question

komal buys a plot of land for ₹96000. She sell 2/5 of it at a loss of 6%. At what gain percent should she sell the remaining part of the plot to gain 10%on the whole transaction?? pls ans as soon as possible.....its very urgent...

Answer 1

20.6%
if he want to take10% profit then he should sell it at 20.6% profit

Answer 2

Answer: There is 20.67% gain in selling remaining part of land.

Step-by-step explanation:

Since  we have given that

Worth of plot of land = Rs. 96000

At loss of 6%, $\frac{2}{5}$ part of land .

At whole transaction, there is gain of 10%.

We need to find the gain percentage of remaining part of the plot to gain 10% on whole.

We will use "Mixture allegation":

        Gain            Loss

          x                   -6

                    10

-------------------------------------------

10+6              :             x-10

16                  :             x-10

Since they are in the ratio of 3:2 as only $\frac{2}{5}$ part of land sold at loss of 6%, i.e. $\frac{3}{5}$ part of land sold at gain of x%.

According to question, it becomes,

$\frac{16}{x-10}=\frac{3}{2}\\\\2\times 16=3(x-10)\\\\32=3x-30\\\\32+30=3x\\\\62=3x\\\\x=\frac{62}{3}=20.67\%$

Hence, there is 20.67% gain in selling remaining part of land.