Question : If each side of a rectangle is decreased by 11%, then its area will decrease by:
Option 1: 25%
Option 2: 21.13%
Option 3: 24.31%
Option 4: 20.79%
Correct Answer: 20.79%
Solution : Let the original length = 100, original breadth = 100 We know the area of a rectangle = Length × Breadth So, original Area = 100 × 100 = 10000 Reduced length = 89, reduced breadth = 89 So, new area = 89 × 89 = 7921 Decrease in area = 10000 – 7921 = 2079 $\therefore$ Percentage decrease in area $=\frac{2079}{10000}×100 = 20.79\%$ Hence, the correct answer is 20.79%.
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Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?
Option 2: 30.79%
Option 3: 31.11%
Option 4: 44.31%
Question : The length of a rectangle is increased by 10% and breadth is decreased by 10%. The area of the new rectangle is:
Option 1: neither increased nor decreased.
Option 2: increased by 1%.
Option 3: decreased by 2%.
Option 4: decreased by 1%.
Question : A number is first increased by 40% and then decreased by 25%, again increased by 15% and then decreased by 20%. What is the net increase/decrease percentage in the number?
Option 1: 7.2% decrease
Option 2: 6.4% increase
Option 3: 3.4% increase
Option 4: 3.4% decrease
Question : If the length of a rectangular plot of land is increased by 5% and the breadth is decreased by 10%, how much will its area increase or decrease?
Option 1: 6.5% increase
Option 2: 5.5% decrease
Option 3: 5.5% increase
Option 4: 6.5% decrease
Question : If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:
Option 1: 10%
Option 2: 15%
Option 3: 5%
Option 4: 12%
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