Raman spends 80% of his income. If his income is increased by 25% and the expenditure increase by 10%, then what will be the percentage increase in his savings?

Raman spends 80% of his income. If his income is increased by 25% and the expenditure increase by 10%, then what will be the percentage increase in his savings?
1). 17
2). 70
3). 77
4). 85

Let the income of Raman be Rs. 100

According to the problem statement

Amount to be spend by Raman can be given as

Amount spent = 100 × (80/100) = Rs. 80

Now the savings is 100 – 80 = Rs. 20

If income increased by 25%, new income will be

New income = 100 × (1 + 25/100) = Rs. 125

Expenditure increased by 10% can be given as

final expenditure = 80 × (1 + 10/100) = 80 × 1.1 = Rs. 88

Savings can be given as 125 – 88 = 37

Increase in saving is 37 – 20 = Rs. 17

percentage increase in savings can be given as = 17 × 100/20 = 85%

The increase in savings is 85%

Let the income of Raman be Rs. 100

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According to the problem statement

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Amount to be spend by Raman can be given as

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Amount spent = 100 × (80/100) = Rs. 80

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Now the savings is 100 – 80 = Rs. 20

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If income increased by 25%, new income will be

\n\n

New income = 100 × (1 + 25/100) = Rs. 125

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Expenditure increased by 10% can be given as

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⇒ final expenditure = 80 × (1 + 10/100) = 80 × 1.1 = Rs. 88

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Savings can be given as 125 – 88 = 37

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Increase in saving is 37 – 20 = Rs. 17

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⇒ percentage increase in savings can be given as = 17 × 100/20 = 85%

\n∴ The increase in savings is 85%

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