Question : The length and the breadth of a rectangle are increased by 15% and 10%, respectively. What is the percentage increase in the area of the rectangle?
Option 1: 25%
Option 2: 26.5%
Option 3: 27.5%
Option 4: 26%
Correct Answer: 26.5%
Solution :
Given,
Length and breadth have been increased by 15% and 10% respectively.
We know,
Percentage increase in the area = $x + y + \frac{xy}{100}$
Where, $x$ = Percentage increase in Length
$y$ = Percentage increase in Breadth
⇒ Percentage increase in area $= [15 + 10 + \frac{15 × 10}{100}]\%=[25 + 1.5]\%= 26.5\%$
Hence, the correct answer is 26.5%.
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