Question

22. From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought
by Manoj. If 600 m2 land is still left unsold, find the total area of the piece of land.​

Answer 1

Step-by-step explanation:

22. From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought

by Manoj. If 600 m2 land is still left unsold, find the total area of the piece of land.

Answer 2

Step-by-step explanation:

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

Solution:

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

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

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

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

So it means that only

$\sf 600\ m^{2}600 m$

land is remaining which is equal to $\sf 600\ m^{2}600 m².$

• Therefore the total area of the land is

$\sf\frac{4}{9} x\ m^{2}=600\ m^{2}$