Out of her total income, Mrs. Dubey spends 20% on house rent and 70% of the rest on household expenditure. If she saves Rs. 1,800, then her total income is:
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Break down percentage problems into sequential steps: Find remaining income after deductions, then use given conditions to solve for the total.
Step 1: Define the total income
- Let total income be \( x \).
- House rent = \( 20% \) of \( x \):
\[
\frac{20}{100} \times x = 0.2x
\]
- Remaining income after rent:
\[
x - 0.2x = 0.8x
\]
Step 2: Calculate household expenditure
- Household expenditure = \( 70% \) of remaining income
\[
\frac{70}{100} \times 0.8x = 0.56x
\]
- Remaining savings:
\[
0.8x - 0.56x = 0.24x
\]
Step 3: Solve for total income
- Given savings = Rs. 1,800
\[
0.24x = 1800
\]
\[
x = \frac{1800}{0.24} = 7,500
\]