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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