The proportion of Suresh's spending to saving is 3 : 1. His salary rises by 25%. What percentage of his expenditure will increase if his saving grows by 10%?

Question

Accepted Answer

Let Suresh's initial salary be 100 units.

Given spending : saving = 3 : 1
So, spending = 75 units, saving = 25 units (since 3+1=4 parts, each part = 100/4 = 25)

Salary increases by 25%, so new salary = 100 + 25 = 125 units.

Saving increases by 10%, so new saving = 25 + 10% of 25 = 25 + 2.5 = 27.5 units.

New spending = New salary - New saving = 125 - 27.5 = 97.5 units.

Percentage increase in spending = ((97.5 - 75) / 75) * 100 = (22.5 / 75) * 100 = 30%.

Let's re-examine carefully.

Step 1: Initial salary = 100 units
Spending = 3 parts, Saving = 1 part, total 4 parts
Each part = 100 / 4 = 25 units
Spending = 3 * 25 = 75 units
Saving = 1 * 25 = 25 units

Step 2: Salary increases by 25%
New salary = 100 * 1.25 = 125 units

Step 3: Saving increases by 10%
New saving = 25 * 1.10 = 27.5 units

Step 4: New spending = New salary - New saving = 125 - 27.5 = 97.5 units

Step 5: Percentage increase in spending = ((97.5 - 75) / 75) * 100 = (22.5 / 75) * 100 = 30%

Therefore, the correct answer is 30%.

Hence, option 4 (30%) is correct.

Answer

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