Question

From a piece of land ,one -third is bought by rajesh and one-third of remaining by Manoj. If 600 sq.m land is still left unsold ,find the total area of the piece of land

Answer 1

Total land sold =(1/3+2/3×1×3)x
=1/3+2/9=5/9x
Left unsold=1-5/9=4/9x
Given- 4/9x=600
x=1350m is the answer

Answer 2

Area of the total piece of land is $\bold{1350\ m^{2}}$

Solution:

Let us take the piece of land as $x\ m^{2}$

Now one third is bought by Rajesh that means after Rajesh bought the land, remaining land is $\frac{2}{3} x\ m^{2}$  

After the purchase of land by Rajesh, Manoj bought one third of the remaining after Rajesh bought which is $\frac{2 x}{9} m^{2}$  

Now only $\frac{4}{9} x\ m^{2}$  left.  

So it means that only $600\ m^{2}$  land is remaining which is equal to $600\ m^{2}$.

Therefore the total area of the land is $\frac{4}{9} x\ m^{2}=600\ m^{2}$  

$\bold{x=600 \times \frac{9}{4}=150 \times 9=1350\ m^{2}}$