Arvind spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. His savings are increased by:

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RRB Technician Grade III Official Paper (Held On: 28 Dec, 2024 Shift 2)
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  1. 50%
  2. 25%
  3. 10%
  4. 37.5%

Answer (Detailed Solution Below)

Option 1 : 50%
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Detailed Solution

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Given:

Arvind spends 75% of his income. Income is increased by 20% and expenditure by 10%.

Formula used:

Income = Expenditure + Savings

Calculation:

Let income of a man be 100 Rs.

Expenditure = 75 Rs.

Saving = 25 Rs.

New income = 100 × 120/100 = 120 Rs.

New expenditure = 75 × 110/100 = 82.5 Rs.

New saving = 120 - 82.5 = 37.5 Rs.

Percent increase in saving = [(37.5 - 25)/25] × 100

⇒ 12.5 × 4 = 50%

The percentage increase in his savings is 50%

∴ The correct answer is option (1).

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