Practicing Success
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 |
50 m 100 m 240 m 150 m |
150 m |
$x-y = 50$ .....(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 |