The monthly income of Chetan is ₹60,000 and his expenditure is... | Mathematics MCQ | Examoogle

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The monthly income of Chetan is ₹60,000 and his expenditure is ₹35,000. If his income increases by 25%, and his expenditure increases by 15%, then what will be the percentage increase in his savings?

35%

36%

39%

38%

Correct Answer

📐 MA • Math Ratio MethodMathematicsPercentages

Option C

39%

Quick Summary:

Use the ratio of Income: Expenditure: Savings. Initial: 60:35:25. Divide by 5: 12:7:5. New values: (12 $\times 1.25) - (7 \times 1.15) = 15 - 8.05 = 6.95.$ Change = 6.95 - 5 = 1.95. Percentage = (1.95 / 5) $\times 100 = 39\%.$

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📐MAMath SolutionRatio Method

📋 Given

Initial income is ₹60,000, initial expenditure is ₹35,000. Income growth is 25%, expenditure growth is 15%.

🔢 Formula Used

Savings=Income−Expenditure\text{Savings} = \text{Income} - \text{Expenditure}Savings=Income−Expenditure

⚡ Exam Hall Shortcut / Speed Trick

⚠️ Common Student Trap / Pitfall

Calculating the percentage increase on the final amount directly rather than finding the difference between old savings and new savings first.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Calculate initial savings

Subtract the expenditure from the income: $60,000 - 35,000 = 25,000$ .

S1=60000−35000=25000S_1 = 60000 - 35000 = 25000S1​=60000−35000=25000

Calculate new income and expenditure

Apply 25% increase to income and 15% increase to expenditure: Income = $60,000 \times 1.25 = 75,000$ ; Expenditure = $35,000 \times 1.15 = 40,250$ .

I2=75000,E2=40250I_2 = 75000, E_2 = 40250I2​=75000,E2​=40250

Calculate new savings and increase

New savings = $75,000 - 40,250 = 34,750$ . The increase in savings is $34,750 - 25,000 = 9,750$ .

S2=34750,S_2 = 34750, S2​=34750,\triangle S=9750 = 9750=9750

Calculate percentage increase

Divide the increase by initial savings and multiply by 100: $(9,750 / 25,000) \times 100 = 39\%$ .

Percentage Increase=975025000×100=39%\text{Percentage Increase} = \frac{9750}{25000} \times 100 = 39\%Percentage Increase=250009750​×100=39%

✅

C is correct because the percentage increase in savings is calculated as 39%.

Core Concepts Used

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Percentage change Linear equations in two variables Ratio and Proportion

💡 EXAM TIP

This logic is identical to profit/loss and margin analysis in business mathematics; always convert raw values to ratios to simplify complex percentage calculations.

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