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Question : Each side of a square is increased by 10%. The percentage increase in its area is:

Option 1: 25

Option 2: 12.5

Option 3: 20

Option 4: 21


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 21


Solution : Given: Each side of a square is increased by 10%.
Let the sides of the square be 100 units.
So, the area of the square = (100 × 100) = 10000 units
After a 10% increase, the sides = (100 + 10) = 110 units
Now the area of the square = (110 × 110) = 12100 units
$\therefore$ The percentage increase of area = $\frac{12100-10000}{10000}×100= \frac{2100}{10000}×100= 21\%$
Hence, the correct answer is 21.

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