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Out of her total monthly income, Mrs saxena spends 30% on house rent and 60% of the rest on household expenses. If she saves ₹6300 per month, what is her total monthly income?
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Out of her total monthly income, Mrs saxena spends 30% on house rent a...
Total Monthly Income Calculation for Mrs. Saxena
To determine Mrs. Saxena's total monthly income, we need to analyze her spending and savings pattern.
Step 1: Understanding the Expenses
- Mrs. Saxena spends 30% of her total income on house rent.
- Let's denote her total income as 'I'.
Step 2: Calculating House Rent
- House rent = 30% of I = 0.30 * I
Step 3: Remaining Income After Rent
- Remaining income after paying rent = I - (0.30 * I) = 0.70 * I
Step 4: Household Expenses
- She spends 60% of the remaining income on household expenses.
- Household expenses = 60% of (0.70 * I) = 0.60 * (0.70 * I) = 0.42 * I
Step 5: Calculating Savings
- To find her savings, we subtract her total expenses from her income.
- Total expenses = House rent + Household expenses = (0.30 * I) + (0.42 * I) = 0.72 * I
- Thus, savings = Total income - Total expenses = I - (0.72 * I) = 0.28 * I
Step 6: Setting Up the Equation
- We know her savings amount to ₹6300.
- Therefore, 0.28 * I = ₹6300
Step 7: Solving for Total Income
- To find 'I', we divide both sides by 0.28:
- I = ₹6300 / 0.28 = ₹22500
Conclusion
- Mrs. Saxena's total monthly income is ₹22500.
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Out of her total monthly income, Mrs saxena spends 30% on house rent and 60% of the rest on household expenses. If she saves ₹6300 per month, what is her total monthly income?
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