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
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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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Question : The radius of a circle is increased by 10%. The percentage increase in its area is:
Option 1: 10%
Option 2: 11%
Option 3: 20%
Option 4: 21%
Question : If each edge of a cube is increased by 40%, the percentage increase in its surface area is:
Option 1: 40%
Option 2: 60%
Option 3: 80%
Option 4: 96%
Question : A number is increased by 20% and then the increased number is decreased by 20%. The net increase or decrease is:
Option 1: Decrease 2%
Option 2: Increase 4%
Option 3: Increase 2%
Option 4: Decrease 4%
Question : The cost of an article worth Rs. 100 is increased by 10% first and again increased by 10%. The total increase (in Rs.) is:
Option 1: 20
Option 2: 21
Option 3: 110
Option 4: 121
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%
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