If the length of a rectangle increases by 50% and the breadth decreases by 25%, then what will be the percent increase in its area?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12.5%
Let the length and breadth of a Rectangle be 100x and 100y.
Now the length of a rectangle increases by 50% i.e 150x
And the breadth decreases by 25% i.e 75y
Original area = 100x × 100y = 10000xy.
New area = 150x × 75y = 11250xy.
Increase in Area = (11250xy - 10000xy) × 100/10000xy = 1250/100 = 12.5%