Question : Harsha's expenditure is 45% of her income. If the income from the next month is increased by 15% and the amount she saved each month remains the same, then find the percentage increase in her expenditure (rounded off to 2 decimal places).
Option 1: 33.33%
Option 2: 15.00%
Option 3: 45.00%
Option 4: 27.50%
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Correct Answer: 33.33%
Solution :
Let the income of Harsha be Rs. 100
Expenditure of Harsha = $100\times{\frac{45}{100}}$ = Rs. 45
Income = Expenditure + Savings
Savings of Harsha = $100-45$ = Rs. 55
New income of Harsha = $100\times{\frac{115}{100}}$ = Rs. 115
If saving amount same, then new expenditure = $115-55$ = Rs. 60
Her new expenditure increased by = $60-45$ = Rs. 15
Her new expenditure increased by = $\frac{15}{45}\times{100}$ = 33.33%
Hence, the correct answer is 33.33%.
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