Read the text carefully and answer the questions:

Mohan wants to donate a rectangular plot of land for a hospital in his village. When he was asked to give dimensions of the plot, he told that if its length (x) is decreased by 50 m and breadth (y) is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m².

The equations in terms of x and y are:

x – y = 50, 2x + y = 550

So $(x-50)(y+50)=x y$

$xy - 50y + 50x - 2500 = xy$

so  $50x-50y = 2500$

$\Rightarrow x - y =50$       .....(1)

$(x-10)(y-20)=x y-5300$

$xy - 10y -20x + 200 = xy - 5300$

$10 y + 20 x=5500$

$2 x+y=550$         .....(2)

Option: 1