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
Correct Answer: 3.4% decrease
Solution : Let the number be 100. Increase = 40% of 100 = 40 Resultant number = 100 + 40 = 140 Decrease = 25% of 140 = 35 Resultant number = 140 – 35 = 105 Increase = 15% of 105 = 15.75 Resultant number = 105 + 15.75 = 120.75 Decrease = 20% of 120.75 = 24.15 Resultant number = 120.75 – 24.15 = 96.6 Net decrease = 100 – 96.6 = 3.4 Required percentage = $\frac{3.4}{100}×100$ = 3.4% Hence, the correct answer is a 3.4% decrease.
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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
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%
Question : The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number.
Option 1: 7.2
Option 2: 0.8
Option 3: 720
Option 4: 80
Question : The price of an article is first increased by 25% and later on, the price was decreased by 30% due to a reduction in sales. Find the net percentage change in the final price of the article.
Option 1: 11.5% increased
Option 2: 14% decreased
Option 3: 13% increased
Option 4: 12.5% decreased
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
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