Question:
Anil spends Rs.35000 per month and saves \(12\frac{1}{2}\%\). The monthly income of Anil in rupees is
Anil spends Rs.35000 per month and saves \(12\frac{1}{2}\%\). The monthly income of Anil in rupees is
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If savings are given as a percentage of income, subtract from 100 first to get expenditure percentage.
Updated On: Jul 15, 2026
- \(40000\)
- \(42000\)
- \(45000\)
- \(50000\)
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The Correct Option is A
Solution and Explanation
Concept:
Income = Expenditure + Savings.
Given saving percentage is on income.
Step 1: Find expenditure percentage.
Saving: \[ 12\frac12\%=12.5\% \] So expenditure: \[ 100\%-12.5\%=87.5\% \]
Step 2: Form the equation.
If income = \(x\), then: \[ 87.5\%\text{ of }x=35000 \] \[ \frac{87.5}{100}x=35000 \] \[ \frac78x=35000 \]
Step 3: Solve for \(x\).
\[ x=35000\times \frac87 \] \[ =5000\times 8 \] \[ =40000 \] Thus, Anil’s monthly income is: \[ \boxed{40000} \]
Step 1: Find expenditure percentage.
Saving: \[ 12\frac12\%=12.5\% \] So expenditure: \[ 100\%-12.5\%=87.5\% \]
Step 2: Form the equation.
If income = \(x\), then: \[ 87.5\%\text{ of }x=35000 \] \[ \frac{87.5}{100}x=35000 \] \[ \frac78x=35000 \]
Step 3: Solve for \(x\).
\[ x=35000\times \frac87 \] \[ =5000\times 8 \] \[ =40000 \] Thus, Anil’s monthly income is: \[ \boxed{40000} \]
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