Question : If each side of a square is decreased by 17%, then by what percentage does its area decrease?
Option 1: 25%
Option 2: 30.79%
Option 3: 31.11%
Option 4: 44.31%
Correct Answer: 31.11%
Solution : Let the side of the square be 100. After decrement of 17% = 83 Initial area = $(side)^2$ = $100^2$ = 10000 Area after decrement = $83^2$ = 6889 Difference in areas = 10000 – 6889 = 3111 Decrease in area (in percentage) = $\frac{\text{Decrease in area}}{\text{Initial area}}\times100$ = $\frac{3111}{10000}\times100$ = 31.11% Hence, the correct answer is 31.11%.
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Question : If each side of a rectangle is decreased by 11%, then its area will decrease by:
Option 2: 21.13%
Option 3: 24.31%
Option 4: 20.79%
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%
Question : If the area of a square is increased by 44%, retaining its shape as a square, each of its sides increases by:
Option 1: 19%
Option 2: 21%
Option 3: 22%
Option 4: 20%
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 : The salary of Ramesh first increases by 35%, then decreases by 40%, then again increases by 25%. Find the overall increase or decrease percentage.
Option 1: Increase by 1.25%
Option 2: Decrease by 2.25%
Option 3: Decrease by 1.25%
Option 4: Increase by 2.25%
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