Question : A number is first increased by 10% and then increased by 20%. The number, so obtained, is now decreased by 12%. What is the net increase or decrease percent in the original number?
Option 1: 16.16% increase
Option 2: 14.14% decrease
Option 3: 11.11% decrease
Option 4: 12.12% increase
Correct Answer: 16.16% increase
Solution : The formula for two successive percentage changes (increase or decrease) is given by: $\text{Net percentage change} = a + b + \frac{ab}{100}$ where $a$ and $b$ are the two percentage changes. In this case, the number is first increased by 10% and then by 20%, so $a = 10$ and $b = 20$. Substituting these values into the formula, we get: $\text{Percentage increase} = 10 + 20 + \frac{10 \times 20}{100} = 32\%$ Then the number is decreased by 12%, so now $a = 32$ and $b = -12$. Substituting these values into the formula, we get: $\text{Net change} = 32 - 12 + \frac{32 \times -12}{100} = 16.16\%$ So, there is a net increase of 16.16% in the original number. Hence, the correct answer is a 16.16% increase.
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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 : A number is first decreased by 28% and then increased by 28%. The number so obtained is 784 less than the original number. Find the value of the original number.
Option 1: 1000
Option 2: 15000
Option 3: 10000
Option 4: 1500
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 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 : 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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