SSC CPO 2024 PYQ — Question 138

The correct answer is option 4 i.e. 5.8% increase.

Let the length and breadth of the rectangle be 100x and 100y respectively.

Area of rectangle = Length × Breadth

⇒ 100x × 100y = 10000xy

Accordingh to the given question,

New length = 115% of 100x

⇒ 115x

New breadth = 92% of 100y

⇒ 92y

New area = 115x × 92y

⇒ 10580xy

Change in area = Increase in area 

⇒ 10580xy - 10000xy = 580xy

Percentage increase = ${580xy \over 10000xy}\times 100$ = 5.8%

Hence the percentage change in the lawn area is 5.8% increase.