A person could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how much percentage has his expenditure increased?
A person could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how much percentage has his expenditure increased? Correct Answer 22.22%
Given:
Initial saving by the person = 10% of the income
After 2 years, income increased by 20%
Amount saved by the person = same amount as before
Concept used:
Income = Expenditure + Saving
Calculation:
Let earlier income be 100x
Saving = 10% of 100x
⇒ 10x
Expenditure = 90x
New Income = 100x × (120/100)
⇒ 120x
Savings (same as before) = 10x
Expenditure = (120x – 10x)
⇒ 120x
Increase in Expenditure = (110x – 90x)
⇒ 20x
Percentage increase = (20x/90x) × 100%
⇒ 22.22%
∴ The increase percentage in expenditure is 22.22%
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Feb 20, 2025