SSC GD 2024 PYQ — Question 56

The correct answer is option 2 i.e. 12.5 percent.

Given that

The length of a rectangle is increased by = 14.28 percent

Hence the new length = $\frac{114.28}{100}$original length 

Formula used 

Area = Length × Breadth

Since the area remains unchanged after the increase in length

Area = $\frac{114.28}{100}$Length × New breadth 

Dividing both equations we get

$\frac{New breadth}{breadth}$ = $\frac{100}{114.28}$

Hence, the breadth is reduced by = $\frac{114.28 - 100}{114.28}$ × 100 = 12.5 percent.