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The given problem states that Bhawani spends 68% of her income. Her income increases by 15%, and her expenditure increases by 10%. We need to find the percentage increase in her savings, rounded to two decimal places.

Let's break down the solution step by step.

### Step 1: Let the initial income of Bhawani be \( I \) and the initial expenditure be 68% of her income.
So,
\[
\text{Expenditure} = 0.68I
\]
\[
\text{Savings} = I - \text{Expenditure} = I - 0.68I = 0.32I
\]
Thus, her initial savings is 32% of her income.

### Step 2: After the increase in income and expenditure:
- Her new income increases by 15%, so her new income becomes:
\[
\text{New Income} = I + 0.15I = 1.15I
\]
- Her new expenditure increases by 10%, so her new expenditure becomes:
\[
\text{New Expenditure} = 0.68I + 0.10 \times 0.68I = 0.68I \times 1.10 = 0.748I
\]
- Her new savings is the difference between the new income and the new expenditure:
\[
\text{New Savings} = 1.15I - 0.748I = 0.402I
\]

### Step 3: Percentage increase in savings
The percentage increase in savings is given by the formula:
\[
\text{Percentage Increase} = \frac{\text{New Savings} - \text{Old Savings}}{\text{Old Savings}} \times 100
\]
Substituting the values of new and old savings:
\[
\text{Percentage Increase} = \frac{0.402I - 0.32I}{0.32I} \times 100 = \frac{0.082I}{0.32I} \times 100 = 25.625\%
\]

Thus, the percentage increase in her savings is approximately **25.63%**.

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Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would the result change if the expenditure increased by 20% instead of 10%?
2. What would happen if Bhawani spent 80% of her income initially?
3. Can you calculate the new savings if both income and expenditure doubled?
4. What is the significance of savings in personal financial management?
5. How would you model the percentage increase in savings if the expenditure growth rate is variable?

**Tip:** Tracking your spending and savings growth over time is essential for sound financial planning.

Bhawani spends 68% of her income. Her income increases by 15%, and her expenditure increases by 10%. By what percentage did her savings increase? (Round to two decimal places.)

Learn how to calculate the percentage increase in savings when Bhawani's income increases by 15% and her expenditure increases by 10%. This detailed solution covers key algebraic concepts and percentage calculations, ideal for students in Grades 10-12.

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