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 value x is:

200 m

$x-y = 50$         .....(1)

$2x-y = 550$       .....(2)

eq(1) + eq(2)

$\Rightarrow 3x = 600$

$x = 200$

Option: 3