Question

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

Let the piece by Rajesh = `1 xx 1/3 = 1/3` m

Land bought by Rajesh = `1 xx 1/3 =1/3` m

Remaining land = `1 - 1/3 = (3-1)/3 = 2/3`m

Now, land bought by Manoj = `2/3 xx 1/3 = 2/9` m

Land unsold = `2/3 - 2/9`

`= (6 -2)/9 = 4/9` m

Land of `4/9` m remain unsold = 600 m²

∴ Total area of the land = `600 xx 9/4`

= 150 × 9 m² = 1350 m²