Calculating Reena's Initial Savings
First, let's determine Reena's initial monthly savings. Savings are calculated by subtracting expenditure from income.
- Initial Monthly Income = ₹75,200
- Initial Monthly Expenditure = ₹22,500
- Initial Monthly Savings = Initial Income - Initial Expenditure
- Initial Monthly Savings = ₹75,200 - ₹22,500 = ₹52,700
Calculating Reena's New Income and Expenditure
Next, we calculate Reena's income and expenditure for the next year after the increases.
New Monthly Income Calculation
Her income increased by 25%. To find the new income, we add 25% of the original income to the original income.
- Income Increase = 25% of ₹75,200
- Income Increase = \(\frac{25}{100} \times 75,200\) = ₹18,800
- New Monthly Income = Initial Income + Income Increase
- New Monthly Income = ₹75,200 + ₹18,800 = ₹94,000
- Alternatively, using a multiplier: New Income = \(75,200 \times (1 + \frac{25}{100}) = 75,200 \times 1.25 = ₹94,000\)
New Monthly Expenditure Calculation
Her expenditure increased by 14%. We calculate the new expenditure similarly.
- Expenditure Increase = 14% of ₹22,500
- Expenditure Increase = \(\frac{14}{100} \times 22,500\) = ₹3,150
- New Monthly Expenditure = Initial Expenditure + Expenditure Increase
- New Monthly Expenditure = ₹22,500 + ₹3,150 = ₹25,650
- Alternatively, using a multiplier: New Expenditure = \(22,500 \times (1 + \frac{14}{100}) = 22,500 \times 1.14 = ₹25,650\)
Calculating Reena's New Savings
Now, we find Reena's new monthly savings using her new income and expenditure.
- New Monthly Savings = New Monthly Income - New Monthly Expenditure
- New Monthly Savings = ₹94,000 - ₹25,650 = ₹68,350
Calculating Percentage Increase in Savings
Finally, we calculate the percentage increase in her savings. The formula for percentage increase is:
Percentage Increase = \( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \)
In this case, the values are the savings amounts.
- Increase in Savings = New Monthly Savings - Initial Monthly Savings
- Increase in Savings = ₹68,350 - ₹52,700 = ₹15,650
- Percentage Increase in Savings = \( \frac{15,650}{52,700} \times 100 \)
- Percentage Increase in Savings ≈ \( 0.2970018975 \times 100 \)
- Percentage Increase in Savings ≈ 29.70018975%
Rounding off to 2 decimal places, the percentage increase in her savings is 29.70%.
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Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
