Question : A man spends 75% of his income. If his income increases by 28% and his expenditure increases by 20%, then what is the increase or decrease percentage in his savings?
Option 1: 52% decrease
Option 2: 52% increase
Option 3: 13% decrease
Option 4: 13% increase
Correct Answer: 52% increase
Solution : Man spends 75% of his income. Income increases by 28% Expenditure increases by 20% Let the Income of a man be 100. Expenditure = 75% of 100 = $(\frac{75}{100}) × 100$ = 75 Saving = Income – Expenditure Initial saving = 100 – 75 = 25 --------------(1) Now as per the question, His income increased by 28% His new income = Old income + 28% of Old income His new income = ($\frac{128}{100}$) × 100 = 128 Similarly, his expenditure increased by 20% His new expenditure = ($\frac{120}{100}$) × 75 His new expenditure = 90 Saving(new) = income(new) – expenditure(new) Saving(new) = 128 – 90 = 38 -------------(2) Now, percentage increase in savings = $\frac{(38 - 25)}{25} × 100$ -------------(from (1) and (2)) = 13 × 4 = 52% $\therefore$ The percentage increase in saving is 52%. Hence, the correct answer is 52% increase.
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Question : A man spends $\frac{2}{3} $rd of his income. If his income increases by 14% and the expenditure increases by 20%, then the percentage increase in his savings will be?
Option 1: 6%
Option 2: 2%
Option 3: 4%
Option 4: 1%
Question : A man spends 65% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is ________.
Option 1: 38.5%
Option 2: 35.8%
Option 3: 10%
Option 4: 20%
Question : The ratio of expenditure and savings of a person is 5 : 3. If the income increases by 20% and the expenditure increases by 10%, then the person's savings increase by:
Option 1: $36 \frac{2}{3}$%
Option 2: $3 \frac{1}{3}$%
Option 3: $13 \frac{2}{3}$%
Option 4: $30 \frac{1}{3}$%
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 : A person can save 25% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his expenditure is _____.
Option 1: $26 \frac{2}{3}$
Option 2: $24$
Option 3: $25 \frac{1}{3}$
Option 4: $25$
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