The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increment of 30% and 60% in his salary. If his saving increases by 250% of his initial saving, then the new cost of living expenditure is what percentage (rounded off to the nearest integer) of the increased salary?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 4)
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  1. 32.7 Percent
  2. 43.6 Percent
  3. 29.5 Percent
  4. 36.6 Percent

Answer (Detailed Solution Below)

Option 1 : 32.7 Percent
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Detailed Solution

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Given:

The expenditure on the cost of living of a man and his family is 60% of his salary.

He gets two increment of 30% and 60% in his salary. If his saving increases by 250% of his initial saving

Calculation:

Let the salary of the man be 100a

So, expenditure = 100a × 60%

⇒ 60a

Savings = 100a - 60a

⇒ 40a

Now,

His new salary = 100a × 130% × 160%

⇒ 208a

His new savings = 40a + 40a × 250%

⇒ 140a

Expenditure = 208a - 140a

⇒ 68a

Required % = (68a/208a) × 100

⇒ 32.69 ≈ 32.70%

∴ The required answer is 32.7%.

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