Math Problem Statement
A person spends 97% of their income, saving 3%. If their savings are Rs. 600, find their income. Another person saves 10% of their income and spends Rs. 15,000. Calculate their income.
Solution
The text from the image describes two scenarios regarding a person's income and savings:
- A person spends 97% of their income, leaving a saving of 3%. If their monthly savings are Rs. 600, the task is to find their total monthly income.
- A person saves 10% of their income, meaning they spend 90%. If their monthly expenditure is Rs. 15,000, the task is to determine their total monthly income.
Let me calculate both:
Case 1: Savings of Rs. 600 with 3% savings
Let the monthly income be . Savings are of income: Solve for : The total monthly income is Rs. 20,000.
Case 2: Expenditure of Rs. 15,000 with 90% spending
Let the monthly income be . Expenditure is of income: Solve for : The total monthly income is Rs. 16,667.
Summary:
- In the first case, the income is Rs. 20,000.
- In the second case, the income is Rs. 16,667.
Do you need further clarification or detailed steps?
Follow-up questions:
- What other percentages of savings or expenditures should be calculated?
- How would the results change if savings percentages varied?
- What is the difference in income between these two cases?
- Can you derive a general formula for income based on savings or expenditures?
- Would you like a visual representation of these calculations?
Tip:
Always express savings or expenditures as a fraction or percentage of total income to simplify such problems!
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Math Problem Analysis
Mathematical Concepts
Percentage calculations
Algebraic equations
Formulas
Savings = (Savings Percentage / 100) × Income
Expenditure = (Expenditure Percentage / 100) × Income
Theorems
Basic percentage theorem
Suitable Grade Level
Grades 6-8