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 of y is
Answer & explanation
Correct answer: option 4
$x-y = 50$ .....(1)
$2x-y = 550$ .....(2)
eq(1) × 2 we get
$2x - 2y = 100$ .....(3)
eq(2) - eq(3) [Subtracting (3) from (2)]
$\Rightarrow 3y = 450$
$y = 150$
Option: 4