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:
Answer & explanation
Correct answer: option 1
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