Question:

Suman saves \(10%\) of her monthly salary. Now her expenditure increases by \(30%\) and savings increase by \(50%\). The present increase in her salary is:

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When given percentage increases for components (like savings and expenditure), always compute their new values separately and sum them to find the new total before calculating the overall percentage change.
Updated On: Aug 14, 2025
  • \(25%\)
  • \(30%\)
  • \(32%\)
  • \(40%\)
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The Correct Option is C

Solution and Explanation

Step 1: Represent salary, savings, and expenditure.
Let original monthly salary = \(100\) units. Savings = \(10%\) of salary = \(10\) units. Expenditure = \(100 - 10 = 90\) units. Step 2: Apply the given increases.
New savings = \(10 + 50%\ \text{of}\ 10 = 10 + 5 = 15\) units. New expenditure = \(90 + 30%\ \text{of}\ 90 = 90 + 27 = 117\) units. Step 3: Find the new salary.
New salary = New savings + New expenditure \[ = 15 + 117 = 132 \ \text{units}. \] Step 4: Calculate the percentage increase.
Increase = \(132 - 100 = 32\) units. Percentage increase = \(\frac{32}{100} \times 100% = 32%\). \[ \boxed{32%} \]
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